Article
Computer Science, Information Systems
Qingdong Sun, Junchao Ren, Jun Fu
Summary: This work studies the problem of sliding mode preview control (SMPC) for a class of uncertain discrete-time T-S fuzzy Markovian jump system (MJS) subject to time-varying delays. Due to the existence of the Markovian chain and uncertain time-varying coefficients, a traditional difference method is no longer applicable. To overcome this issue, an approach combining the robust control technique is adopted. The sliding mode preview controller is synthesized based on a mode-independent sliding surface to guarantee the stochastic stability of the quasi-sliding motion (QSM) and the reachability of a sliding region.
INFORMATION SCIENCES
(2023)
Article
Mathematics, Applied
Yaoyao Zhou, Gang Chen
Summary: This article discusses the realization of H-infinity finite-time control for uncertain stochastic time-delay systems with unmeasured states through sliding mode control. By using a state observer and time-partitioning strategy, the stability of the system state within a limited time interval is effectively achieved.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Mechanical
Yao Wang, Shengyuan Xu, Junwei Lu, Zhengqiang Zhang
Summary: This paper addresses the issue of finite-time observer-based control for continuous-time nonlinear Markovian jump systems with time-varying delays. It introduces a method where the modes of observer and controller are supposed to be asynchronous with the modes of the original system simultaneously. By constructing novel Lyapunov-Krasovskii functionals and using finite-time analysis theory, the error system is proven to be finite-time bounded with an H-infinity performance level, and parameters for the desired observer and controller are calculated using linear matrix inequalities. Numerical examples are provided to demonstrate the proposed method's lesser conservativeness and higher effectiveness.
NONLINEAR DYNAMICS
(2021)
Article
Automation & Control Systems
Sai Zhou, Jun Song, Yekai Yang
Summary: This article is about the hybrid design of transition rates and asynchronous sliding mode control law for continuous-time Markovian jump systems with matched disturbances, aiming to ensure the stochastic ultimate boundedness and disturbance attenuation performance of the systems. A hybrid design approach is proposed by establishing sufficient conditions and introducing a hidden Markov mode detector. The obtained sufficient conditions are solved via two iterative optimization algorithms.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Mathematics
Xikui Liu, Wencong Li, Chenxin Yao, Yan Li
Summary: This paper addresses the finite-time guaranteed cost control problem for Ito Markovian jump systems with time-varying delays. It presents new sufficient conditions for the existence of guaranteed cost controllers using the linear matrix inequality approach. Based on these conditions, the desired controllers are designed and the upper bound of cost performance is provided. An example is employed to demonstrate the validity of the obtained results.
Article
Computer Science, Information Systems
Jiahui Wang, Yabin Gao, Yifan Liu, Jianxing Liu, Guanghui Sun, Ligang Wu
Summary: This paper explores the dynamic practical-sliding-mode control and estimation of unknown functions for singular Markovian jump systems with system perturbations. It proposes an intelligent dynamic practical sliding mode control method based on ellipsoidal-type interval type-2 fuzzy neural networks, and proves its stability and performance.
INFORMATION SCIENCES
(2022)
Article
Computer Science, Artificial Intelligence
Zhiqi Wei, Huan Li, Yuechao Ma
Summary: This article presents the application of the Takagi-Sugeno fuzzy sliding mode approach in nonlinear semi-Markovian modedependent delay switching systems, considering mixed H-infinity/passive performance. The introduction of a non-fragile observer reconstructs variables to obtain error dynamics. By establishing a new closed-loop sliding mode dynamic with a novel fuzzy integral sliding surface function, the system satisfies both mixed H-infinity/passive performance index and stochastic stability.
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2023)
Article
Mathematics, Applied
Tiantian Liang, Shengli Shi, Yuechao Ma
Summary: This paper mainly designs an asynchronous sliding mode controller for singular Markov jump systems (SMJSs) under event-triggered strategy (ETS). A sampling-based ETS is introduced, which can not only save resources but also avoid Zeno behavior. Hidden Markov model (HMM) is used to describe the phenomenon that the system mode is not synchronized with the controller mode. A novel delay-dependent sliding mode surface is constructed. Then, an asynchronous sliding mode control (SMC) law is obtained by utilizing the ETS, which guarantees the reachability of the closed-loop system. A stochastic admissibility with H infinity performance criterion is established for SMJSs by linear matrix inequality. Finally, effectiveness of the theoretical approach is demonstrated through two examples.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Automation & Control Systems
Yuexia Yin, Guangming Zhuang, Guoliang Chen, Junsheng Zhao, Junwei Lu
Summary: This paper investigates the deconvolution filter for Lur'e time-varying delays singular Markovian jump systems. Stochastic stability conditions and H(infinity) performance index are obtained for Lur'e singular Markovian jump systems by establishing mode-dependent Lyapunov-Krasovski functional and considering sector bounded conditions. Regularity and impulse-freeness are acquired through the singular value decomposition technique. The deconvolution filter is realized using linear matrix inequalities. The utility of this method is validated through a numerical example and an oil catalytic cracking process.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Hui Zhao, Weidong Li, Zhicheng Li, Yu Ren
Summary: This article investigates the problem of dynamic event-triggered control for Markovian jump linear systems with time-varying delay. The proposed dynamic ETC reduces the transmission frequency and conditions of stochastic stability are proposed using a novel stochastic Lyapunov-Krasovskii functional and scaled stochastic small-gain theorem. By designing dynamic ETC, conservatism for stability results is reduced and transmission efficiency is improved.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Information Systems
Zhiqi Wei, Yuechao Ma
Summary: This work focuses on the synthesis of observer-based sliding mode control for non-linear T-S fuzzy descriptor time-varying delay systems, dealing with uncertainties and unmeasurable premise variables. By using a sliding mode observer to estimate unmeasurable variables and proposing sliding surfaces for stabilization, the approach effectively handles nonlinearity and uncertainties. Stability criterions based on LMI technique are presented, and the SMC is obtained to drive system trajectories to predefined sliding surfaces in a finite time, with the effectiveness of the method demonstrated through simulation examples.
INFORMATION SCIENCES
(2021)
Article
Automation & Control Systems
Xiaojie Su, Chunlian Wang, Hongbin Chang, Yue Yang, Wudhichai Assawinchaichote
Summary: This paper focuses on sliding mode control for networked Markovian jump systems with partially-known transition probabilities via an event-triggered scheme. It establishes the mean-square asymptotic stability of the closed-loop system and provides sufficient conditions for co-designing the switching function and trigger parameters, as well as a novel control scheme for handling Markovian jump parameters. Simulation results confirm the effectiveness of the proposed design schemes.
Article
Automation & Control Systems
Meng Zhao, Zhiru Cao, Yekai Yang, Yugang Niu
Summary: This work develops a finite-time sliding mode control (SMC) design for Markovian jump systems with peak-bounded external disturbances, taking into account the channel fading and deception attacks. A multiplicative fading model is introduced to describe the fading phenomenon in the unpredictable communication network, and the channel coefficients are independent random variables within certain intervals. By devising a sliding surface involving fading parameter and designing a security finite-time SMC law, the finite-time reachability of the specified sliding surface is achieved. Moreover, a partitioning strategy is adopted during the reaching phase and sliding phase of SMC design to achieve stochastic finite-time boundedness. Numerical simulation results demonstrate the effectiveness of the developed finite-time SMC approach under fading communication and malicious attacks.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Wenhai Qi, Yaoyao Zhou, Lihua Zhang, Jinde Cao, Jun Cheng
Summary: This paper discusses the H-infinity finite-time realization for uncertain Markovian jump systems with unmeasurable state using the sliding mode control method. By designing an appropriate finite-time sliding mode control law based on a non-fragile observer, the system's overall performance can be improved. Through solving linear matrix inequalities, the controller gain and observer gain are obtained, and a single-link robot arm model is used to demonstrate the effectiveness of the proposed method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Computer Science, Artificial Intelligence
Zhiru Cao, Yugang Niu, Hak-Keung Lam, Jiancong Zhao
Summary: In this article, the sliding mode control problem for a class of Markovian jump systems is addressed using the T-S fuzzy model. A dynamic event-triggered strategy is introduced to reduce the frequency of state transmission and a mode detector is utilized to estimate the unavailable system mode. The proposed detected-mode-dependent event-triggered sliding mode controller relaxes the conditions on reachability and stability conditions by constructing a relation on the membership functions between the fuzzy model and the controllers.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Automation & Control Systems
Vijayakumar Muthusamy, Sakthivel Rathinasamy, Fanchao Kong, Marshal Anthoni Selvaraj
Summary: This paper proposes a nonfragile tracking problem for a class of switched systems with external disturbances using a modified repetitive controller. The designed repetitive controller improves the tracking performance of the switched systems by reducing the effects of external disturbances. The control synthesis ensures that the system output precisely tracks the reference signal even in the presence of external disturbances and gain fluctuations. Lyapunov stability technique and average dwell time approach are used to obtain sufficient conditions for exponential stability through linear matrix inequalities. Numerical examples demonstrate the efficiency and effectiveness of the proposed control schemes in tracking and estimating external disturbances.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2023)
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
Mathematics, Applied
Venkatesan Nithya, Rathinasamy Sakthivel, Fanchao Kong, Veeralpatti Thangavel Suveetha
Summary: This paper focuses on the problem of mixed H infinity and passivity-based filtering for networked nonlinear systems with randomly occurring parameter uncertainties, multipath data packet dropouts, time-varying delay, and quantization effects. It models the discrete-time nonlinear plant as a Takagi-Sugeno fuzzy system with plant rules. The paper considers both measurement and performance output signals affected by data missing phenomenon and employs measurement quantization to reduce network bandwidth utilization. It derives a set of sufficient conditions for stochastic stability of the filtering error system using Lyapunov stability theory. Numerical examples are provided to validate the developed filter design algorithm, including mass-spring-damper and tunnel diode circuit models.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(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
Automation & Control Systems
R. Sakthivel, N. Shobana, S. Priyanka, O. M. Kwon
Summary: This study focuses on state tracking and disturbance attenuation for Takagi-Sugeno fuzzy based model with input time-delay through an improved extended state observer based predictive proportional-integral tracking control. A predictive proportional-integral tracking controller is formulated using the Smith-Predictor strategy to address the issue of input time-delay. An improved extended state observer is used to estimate the lumped disturbance, which is combined with the predictive proportional-integral tracking control for disturbance attenuation. Stability criteria and gain matrices are derived using the Lyapunov theory approach. Numerical simulation results are provided to demonstrate the effectiveness of the proposed control system.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Computer Science, Artificial Intelligence
R. Sakthivel, O. M. Kwon, M. J. Park, S. M. Lee
Summary: This work addresses the problem of hybrid-driven-based robust synchronization for multi-weighted complex dynamical networks with actuator saturation and deception attacks. The hybrid-triggered mechanism is used to reduce data transmission and network burden. The equivalent-input-disturbance technique is applied to eliminate unknown disturbances. A memory controller is designed to ensure asymptotic synchronization. Numerical examples are provided to validate the theoretical results.
Article
Automation & Control Systems
Ramalingam Sakthivel, Oh-Min Kwon, Myeong Jin Park, Rathinasamy Sakthivel
Summary: This article addresses the event-based finite-time dissipative filtering issue for interval type-2 fuzzy complex dynamical networks with coupling delays and cyber attacks. An event-triggered scheme introducing the estimation error is designed to balance state estimator performance and network communication bandwidth based on practical requirements. The proposed filter design parameters are obtained by solving linear matrix inequalities (LMIs). The effectiveness and applicability of the proposed event-based dissipative filtering scheme are demonstrated through numerical and practical examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Muthusamy Vijayakumar, Rathinasamy Sakthivel, Dharmarajan Aravindh, Selvaraj Marshal Anthoni
Summary: In this article, the problem of robust tracking and disturbance rejection for Takagi-Sugeno fuzzy systems with time delay and external disturbances is discussed. A proportional-integral controller with an enhanced equivalent-input-disturbance technique is constructed to ensure tracking of the bounded reference input signal in the presence of external disturbances. The output tracking problem is transformed into a stabilization problem of an augmented system with state delay and uncertainties. The stabilization criteria for the considered fuzzy system are presented in the form of linear matrix inequalities using an augmented Lyapunov-Krasovskii functional.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Computer Science, Artificial Intelligence
Yue Yu, Kun She, Jinhua Liu, Xiao Cai, Kaibo Shi, O. M. Kwon
Summary: In recent years, deep learning super-resolution models for progressive reconstruction have achieved great success. However, these models ignore the information contained in the lower subspaces and do not explore the correlation between features in the wavelet and spatial domain, resulting in not fully utilizing the auxiliary information brought by multi-resolution analysis. Therefore, we propose a super-resolution network based on the wavelet multi-resolution framework (WMRSR) to capture the auxiliary information contained in multiple subspaces and to be aware of the interdependencies between spatial domain and wavelet domain features.
Article
Computer Science, Artificial Intelligence
Ramalingam Sakthivel, Oh-Min Kwon, Seong-Gon Choi, Rathinasamy Sakthivel
Summary: This paper investigates the observer-based state estimation issue for discrete-time semi-Markovian jump neural networks with Round-Robin protocol and cyber attacks. The Round-Robin protocol is used to schedule data transmissions to avoid network congestion and save communication resources. Cyber attacks are modeled as a set of random variables satisfying the Bernoulli distribution. Sufficient conditions are established to guarantee the dissipativity performance and mean square exponential stability of the system, and a linear matrix inequality approach is utilized to compute the estimator gain parameters. Two examples are provided to demonstrate the effectiveness of the proposed state estimation algorithm.
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)
