Article
Computer Science, Artificial Intelligence
Hao Shen, Chengyu Yang, Jianwei Xia, Ju H. Park
Summary: This article investigates the nonfragile extended dissipative control problem for a class of nonlinear fast sampling singularly perturbed systems subject to Markov jumping parameters. A fuzzy nonfragile controller design method is proposed, and sufficient conditions independent of the singular perturbation parameter are derived through constructing a Lyapunov function and applying convex optimization theory, achieving improved system performance.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Automation & Control Systems
Yongxiao Tian, Huaicheng Yan, Meng Wang, Hao Zhang, Jianjun Yi
Summary: This paper focuses on the synthesis problem of time-varying gain controllers for a class of discrete-time piecewise homogeneous semi-Markov jump linear systems (SMJLSs). The sojourn-time probability mass functions and embedded Markov chain transition probability are regulated by a high-level Markov chain, resulting in a more general piecewise homogeneous semi-Markov kernel. A novel class of multivariate-dependent Lyapunov function is constructed, and two classes of time-varying gain controllers are designed. Numerical stabilization criteria are established, and desired stabilizing controllers are designed for mean-square stability of the closed-loop system.
Article
Automation & Control Systems
Lijing Dong, Sing Kiong Nguang
Summary: This article examines multiagent relay tracking systems with varying number of tracking agents, establishing a mathematical model for relay tracking process and proposing a novel Lyapunov function design method. The existence of a relay tracking controller is derived through linear matrix inequalities, and the effectiveness of the approaches is verified through numerical simulations.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Lin-Jing Chen, Tao Han, Bo Xiao, Xi-Sheng Zhan, Huaicheng Yan
Summary: This paper discusses the problem of predefined-time time-varying formation-containment tracking for multiple Euler-Lagrange systems with external disturbances. A two-layer formation-containment tracking framework is established, and hierarchical control algorithms based on nonsingular terminal sliding mode are designed. The convergence of the proposed algorithms is guaranteed using Lyapunov function and predefined-time stability theory. Simulation results demonstrate the effectiveness of the theoretical results and the designed controller.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Mohammad Ghousein, Emmanuel Moulay, Patrick Coirault
Summary: In this article, the Markov models describing the SIS epidemics over undirected networks are extended to include the virus minimum incubation period and the minimum recovery period of an infected individual. Time delays are introduced as representations of these periods in the extended model. The generalized semi-Markov theory is used to incorporate both incubation and recovery delays in the probabilistic dynamical models. The proposed time-delay versions of the two principal models of SIS epidemics are analyzed for global exponential stability using Lyapunov analysis.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Engineering, Electrical & Electronic
Liping Bai, Juan Zhou
Summary: This paper focuses on the delay-dependent H-infinity control problem for uncertain singular time-varying delay systems with Markovian jumping parameters. A new Lyapunov-Krasovskii functional and bounded real lemma (BRL) are proposed, and delay decomposition approach and improved Wirtinger inequality are employed to reduce conservatism.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Mathematics, Applied
Wentao Le, Yucai Ding, Wenqing Wu, Hui Liu
Summary: This paper investigates the delay-dependent stochastic stability problem of semi-Markov jump linear systems (S-MJLS) with time-varying delays, proposing a new stability condition and demonstrating its effectiveness and superiority through numerical examples.
Article
Automation & Control Systems
Rong Nie, Shuping He, Fei Liu, Xiaoli Luan
Summary: This paper focuses on sliding mode control and finite-time stabilization for a class of conic-type nonlinear semi-Markovian jumping systems. A suitable control law is provided to drive state trajectories to a designed sliding surface within a finite time interval, and the stability of the entire system is further proven. The effectiveness of the proposed method is demonstrated through a circuit simulation.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Sargunan Priyanka, Rathinasamy Sakthivel, Ohmin Kwon, Saminathan Mohanapriya
Summary: This article investigates the output tracking problem of semi-Markov jump systems with exogenous disturbance and generally uncertain transition probability rates. A solution is proposed using an improved repetitive controller and a generalized extended state observer, while considering additive gain fluctuations. The control and learning behavior of the system is characterized using a continuous-discrete two-dimensional delayed system, and the stability and the determination of control and observer gains are evaluated using Lyapunov-Krasovskii function and pole placement technique.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Acoustics
Mohammad Amin Moradi, Behrouz Safarinejadian, Mohammad Hossein Shafiei
Summary: This study achieves robust consensus among leader and followers in leader-following multiagent systems using a distributed linear parameter-varying sliding mode control protocol, with conditions for closed-loop stability presented in the form of theorems. Simulation results demonstrate the effectiveness of the proposed approach.
JOURNAL OF VIBRATION AND CONTROL
(2021)
Article
Automation & Control Systems
Ruru Jia, Xiaofeng Zong
Summary: This article investigates time-varying formation control problems of linear multiagent systems with time delays and multiplicative noises under the undirected interactive topology. Sufficient conditions for formation feasibility under unstable and stable formation centers are provided, and it is proven that formation can be achieved for any given time delay and noise intensity. Numerical simulations on a group of unmanned aerial vehicles are used to illustrate the effectiveness of the theoretical results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Rong Nie, Shuping He, Fei Liu, Xiaoli Luan, Hao Shen
Summary: This article discusses the asynchronous control problem for a class of discrete-time Markovian jumping Lur'e systems (MJLSs) over a finite-time interval, where the partial accessibility of system modes is described by a hidden Markov model (HMM). The asynchronous control law consists of two parts, and the finite-time stabilization conditions are derived by selecting an appropriate Lyapunov functional and applying the modified sector condition. The effectiveness of the method is verified through an illustrative simulation.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Kui Ding, Quanxin Zhu, Haidan Li
Summary: This article addresses the intermittent nonfragile control problem for stochastic neutral-type time-varying delay systems with randomly occurring uncertainties. By introducing a time-dependent switching Lyapunov functional and applying the convex combination technique, the stability conditions are provided for the intermittent controlled systems, which can be transformed into a feasible solution of a group of linear matrix inequalities. Numerical examples are presented to demonstrate the effectiveness and advantages of the proposed method.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Zehua Ye, Dan Zhang, Huaicheng Yan, Zheng-Guang Wu
Summary: This paper addresses the problem of secure dynamic positioning control for a network-based T-S fuzzy unmanned marine vehicle systems. The nonlinear dynamics of UMV systems are modeled using a T-S fuzzy system model, and the unknown DoS attack phenomenon is described using a semi-Markovian jumping system approach. An event-based communication scheme is proposed to reduce the communication burden. The sufficient conditions for the robust stochastic stability of the closed-loop dynamic positioning system are derived using the Lyapunov stability analysis method and semi-Markovian jumping system approach. The controller gain parameters can be obtained by solving a few LMIs. The proposed control algorithm is verified through an illustrative example of a networked T-S fuzzy UMV system.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematics
K. Sivaranjani, M. Sivakumar, S. Dharani, K. Loganathan, Ngawang Ngmgyel
Summary: This study constructs a Lyapunov-Krasovskii functional using inequalities and integral inequalities, deriving a criterion for synchronization of semi-Markovian jumping neural networks. Nonfragile sampled-data controller is utilized to improve efficiency, with numerical simulations validating the effectiveness of the proposed technique.
JOURNAL OF MATHEMATICS
(2021)
Article
Automation & Control Systems
Rathinasamy Sakthivel, Shanmugam Harshavarthini, Saminathan Mohanapriya, Ohmin Kwon
Summary: This article addresses the disturbance rejection and tracking problem of T-S fuzzy switched systems with uncertainties, input time-varying delays, and disturbances. A modified repetitive control protocol based on the improved-equivalent-input-disturbance estimator and extended Smith predictor approach is proposed to guarantee perfect disturbance estimation and tracking performances with high precision.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Rathinasamy Sakthivel, Sargunan Priyanka, Oh-Min Kwon, Saminathan Mohanapriya
Summary: This article focuses on the concerns of tracking control and active disturbance rejection for nonlinear switched systems. It employs the Takagi-Sugeno fuzzy framework, state-dependent nonlinear perturbations, actuator saturations, and disturbances. Nonlinear equivalent-input-disturbance technique and modified repetitive control are used to improve system stability and tracking precision. Fuzzy membership functions are utilized to ensure exponential stability of the investigated system.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Engineering, Mechanical
Amin Taghieh, Ardashir Mohammadzadeh, Chunwei Zhang, Sakthivel Rathinasamy, Stelios Bekiros
Summary: A novel observer-based control policy using an interval type-3 fuzzy logic system is developed to overcome the limitations of fuzzy-based controllers in approximating uncertainties and analyzing complex nonlinear systems without detailed dynamics model information. The proposed approach includes online optimized tuning rules, a simple type reduction method, and adaptive mechanisms. It also utilizes an adaptive compensator to improve the robust performance of the closed-loop system and mitigate the effects of approximation errors. Stability analysis is conducted using appropriate Lyapunov functions and Barbalat's lemma. Simulations and experimental implementations demonstrate that the suggested approach achieves more accurate approximation of unknown models and complex nonlinearities, and exhibits good resistance against uncertainties and parameter variations.
NONLINEAR DYNAMICS
(2023)
Article
Computer Science, Information Systems
V. Thilagamani, R. Sakthivel, N. Aravinth, Yong-Ki Ma, R. Sasirekha
Summary: This article investigates the disturbance rejection and stabilization problems for periodic piecewise time-varying systems using the disturbance observer strategy. The systems considered are subject to time-varying delays, parameter uncertainties, nonlinear perturbations, and exogenous disturbances. The disturbance observer is deployed to estimate the disturbances from the exogenous system, and a robust controller protocol is constructed based on the estimated disturbance. The article presents a set of criteria to confirm the asymptotic stability of the system using the time-varying periodic piecewise Lyapunov-Krasovskii functional and a matrix polynomial lemma. The design of periodic piecewise gain matrices for the controller and observer is also presented. The importance and potential of the presented theoretical concepts are demonstrated through numerical illustration and simulation results.
Article
Engineering, Electrical & Electronic
Rathinasamy Sakthivel, Arumugam Parivallal, Fanchao Kong, Yong Ren
Summary: This paper investigates the problem of bipartite consensus in uncertain Takagi-Sugeno fuzzy multi-agent systems. The main objective is to develop a non-fragile controller that enables the considered multi-agent system to achieve bipartite consensus. An undirected signed graph is used to describe the cooperative and competitive interaction among neighboring agents. A consensus protocol based on graph theory is proposed, and the sufficient conditions for bipartite consensus are derived using Lyapunov stability theory in the form of linear matrix inequalities. Two numerical examples with simulations are provided to demonstrate the feasibility of the theoretical findings.
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS
(2023)
Article
Computer Science, Artificial Intelligence
Ramasamy Kavikumar, Oh-Min Kwon, Boomipalagan Kaviarasan, Rathinasamy Sakthivel
Summary: This paper presents a quantized antidisturbance control design problem for a class of interval type-2 (IT2) fuzzy stochastic systems subject to time delays and multiple disturbances. Due to the inherent uncertain nonlinear and hybrid characteristics of the system, designing a stable antidisturbance controller becomes difficult. To properly reflect the characteristics of IT2 fuzzy stochastic models with multiple disturbances, a new fuzzy disturbance observer is proposed. A quantized fuzzy antidisturbance control scheme is then synthesized by fusing the estimation of the multiple disturbances. With the support of Lyapunov functional method, Ito's formula, and auxiliary function-based integral inequality, the resulting IT2 fuzzy stochastic systems are proved to be robustly stochastically stable with mixed H-infinity/passivity performance index. The design methods are formulated using linear matrix inequalities for easy obtainment of gain matrices. Simulation studies on three examples justify the efficiency of the designed control strategy.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Ramasamy Kavikumar, Oh-Min Kwon, Seung-Hoon Lee, Sangmoon Lee, Rathinasamy Sakthivel
Summary: This article addresses the issue of input-output finite-time stabilization for interval type-2 fuzzy systems in the presence of deception attack effects. It proposes an event-triggered controller that does not share the same membership functions as the system. Sufficient conditions for the existence of the proposed controller are established using an asymmetric Lyapunov-Krasovskii functional and advanced integral inequalities.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
S. Anusuya, R. Sakthivel, O. M. Kwon
Summary: The prime purpose of this study is to design an output tracking control law to compensate for the effects induced by time-varying input delays and disturbances. The control protocol is developed for nonlinear systems and the nonlinearities are effectively represented using membership functions. The fuzzy-dependent dynamic control law is formulated using parallel distributed compensation strategy and extended Smith predictor approach.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Muthusamy Vijayakumar, Rathinasamy Saklhivel, Dhafer Almakhles, Selvaraj Marshal Anthoni
Summary: This article presents an output tracking control protocol and enhanced disturbance rejection performance for a class of continuous-time Markov jump systems with time-varying delay and external disturbances. An enhanced EID strategy combined with a proportional integral control is proposed to address the output tracking problem. The approach improves output tracking and disturbances rejection performance, which is verified through simulation results and a RLC series circuit model.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Automation & Control Systems
Muthusamy Vijayakumar, Rathinasamy Sakthivel, Dhafer Almakhles, Selvaraj Marshal Anthoni
Summary: This article discusses the problem of output tracking and disturbance rejection for Takagi-Sugeno fuzzy control systems with constant delay and external disturbances. Specifically, an enhanced equivalent-input-disturbance technique is used in the design of a proportional-integral controller to ensure that the resulting system can track given reference inputs even in the presence of disturbances. A novel set of sufficient conditions for the asymptotic stability of the augmented closed-loop fuzzy system is developed using linear matrix inequalities and the selection of a suitable Lyapunov-Krasovskii functional. The observer and controller gain matrices are determined by solving linear matrix inequality-based constraints. Two numerical examples are provided to validate the effectiveness of the theoretical results.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Computer Science, Information Systems
R. Sakthivel, N. Birundha Devi, Yong-Ki Ma, S. Harshavarthini
Summary: The paper focuses on the synchronization issue of nonlinear complex dynamical networks with external disturbances, repeated scalar nonlinearities, and time-varying coupling delays. A hybrid-triggered communication transmission nonfragile control design is proposed, which incorporates both time and event-triggered mechanisms. A stochastic variable satisfying the Bernoulli random binary distribution is utilized to represent the random transmission between the mechanisms. Linear matrix inequalities are developed to ensure the synchronization of the addressed system. The proposed control technique is demonstrated with a numerical example on a memristor-based Chua's circuit model.
Article
Automation & Control Systems
T. Satheesh, R. Sakthivel, N. Aravinth, H. R. Karimi
Summary: This work focuses on the design of fault-tolerant anti-disturbance control for synchronization of multiple memristor-based neural networks subject to time delay, matched and mismatched disturbances. A disturbance observer and mixed Script capital H infinity and passivity performance indexes are employed to estimate and tackle the disturbances respectively. A unified controller is designed by incorporating error feedback control and the disturbance estimate. With the assistance of stability theory and linear matrix inequality technique, synchronization criteria are determined for the network model. The explicit form of the controller and observer gain matrices are obtained based on established conditions. A numerical example is presented to validate the conclusions.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Mathematics, Interdisciplinary Applications
Arumugam Parivallal, Yoon Mo Jung, Sangwoon Yun
Summary: The dynamic event-triggered control scheme is used to address the formation control problem of Takagi-Sugeno fuzzy multi-agent systems in this work. By employing a multi-agent system represented by a Takagi-Sugeno fuzzy model, the formation control problem is examined. A dynamic event-triggered controller is designed with the introduction of an internal dynamic variable to reduce the control update frequency during the desired formation. The stability conditions of the error systems are obtained through an improved delay-dependent reciprocally convex inequality, ensuring the desired formation of the selected multi-agent systems.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Automation & Control Systems
Boomipalagan Kaviarasan, Oh-Min Kwon, Myeong Jin Park, Rathinasamy Sakthivel
Summary: This article investigates the asymptotic stabilization of periodic piecewise time-varying systems with time-varying delay under various cyber attacks, particularly deception and DoS attacks. The system is transformed into time-varying subsystems based on each period's time interval. A state-feedback controller with periodic time-varying gain parameters is developed to solve the stabilization problem. An augmented Lyapunov-Krasovskii functional with periodically varying matrices is used to determine the conditions for designing the proposed controller that ensures the mean-square asymptotic stability of the system. Numerical examples support the effectiveness and superiority of the proposed method regardless of the cyber attacks involved.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Computer Science, Information Systems
S. Monisha, T. Satheesh, N. Aravinth, R. Sakthivel, Yong-Ki Ma
Summary: This paper discusses the design of a disturbance rejection-based fuzzy quantized resilient control for T-S fuzzy chaotic systems with randomly occurring parameter uncertainties and external disturbances. The technique involves estimating and quantizing the external disturbances to achieve the intended performance of the system.
