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
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
Automation & Control Systems
Guifang Cheng, Yuanyuan Ju, Xiaowu Mu
Summary: This paper explores the stochastic finite-time stability and state feedback controller design for linear semi-Markovian jump systems with generally uncertain transition rates. A sufficient condition is established using a stochastic Lyapunov functional, and a state feedback controller is obtained based on linear matrix inequality conditions to ensure finite-time stabilization. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(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
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
Mathematics, Applied
Jiamin Liu, Zhao-Yan Li, Feiqi Deng
Summary: A new integral inequality method is proposed to analyze the general decay stability of Markovian switching neutral stochastic functional differential systems. By utilizing the integral inequality, general decay stability can be obtained in terms of pth moment and the almost sure, with the application of nonnegative semimartingale convergence theorem and Lyapunov stability theory. The results obtained can be applied to specific types of neutral stochastic differential systems studied in literature, and an example is presented to verify the analytical results.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Automation & Control Systems
Gui-Hua Zhao, Xue Zhang
Summary: In this paper, the finite-time stabilization of a class of nonlocal Lipschitzian stochastic nonlinear systems with Markovian switching and stochastic inverse dynamics is investigated. The finite-time stability theory for stochastic nonlinear systems with Markovian switching under the framework of weak solutions is presented. Furthermore, a finite-time controller with state feedback is constructed for a class of stochastic high-order nonlinear systems with Markovian switching and stochastic inverse dynamics. It is proved that the trivial weak solution of the closed-loop system is globally finite-time stable in probability. Finally, the effectiveness of the proposed design method is verified through a simulation example.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Computer Science, Information Systems
Gui-Hua Zhao, Shu-Jun Liu
Summary: This study investigates the stochastic finite-time stability theory and finite-time stabilization of stochastic time-varying nonlinear systems with Markovian switching in the sense of weak solutions. A finite-time stabilization controller is constructively designed for a class of high-order stochastic nonlinear systems with Markovian switching, proving the global finite-time stability of the system's trivial weak solution. The proposed finite-time control method's effectiveness is illustrated through a numerical example.
SCIENCE CHINA-INFORMATION SCIENCES
(2022)
Article
Computer Science, Artificial Intelligence
Guoliang Chen, Jianwei Xia, Ju H. Park, Hao Shen, Guangming Zhuang
Summary: This article investigates the synchronization problem of stochastic Markovian jump neural networks under aperiodic sampled-data control, and proposes two different stochastic stability criteria as well as corresponding controller design methods. Numerical simulation results demonstrate that the proposed controller design method can effectively stabilize unstable neural networks.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Automation & Control Systems
Han Dong, Shaosheng Zhou
Summary: This paper investigates the problems of stochastic admissibility and extended dissipativity analysis, as well as state feedback controller design, for interval type-2 singular systems with nonhomogeneous Markovian switching. A novel lemma is proposed for developing the state feedback controller, and simulation examples are provided to validate the effectiveness of the proposed approach.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
Xikui Liu, Xinye Guo, Wencheng Liu, Yan Li
Summary: This paper discusses the finite-time boundedness (FTB) and H-8 FTB problems of time-delay Markovian jump systems with partially unknown transition rate. It provides sufficient conditions to ensure FTB and H-8 FTB of systems using linear matrix inequalities (LMIs). A new type of partially delay-dependent controller (PDDC) is designed to achieve FTB and H-8 disturbance attenuation. The effectiveness of the proposed approaches is demonstrated through numerical examples.
Article
Automation & Control Systems
Qiaoyu Chen, Dongbing Tong, Wuneng Zhou
Summary: The finite-time stochastic boundedness (FTSB) analysis for Markovian jumping systems with time-delays is conducted using the sliding mode control (SMC) approach. An SMC law is designed to ensure the reachability of the sliding mode surface in a finite-time. Delay-dependent criteria for FTSB are obtained, and sufficient conditions are provided using linear matrix inequalities (LMIs) to guarantee FTSB over the whole finite-time interval.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Jin Zhu, Kai Xia, Qiang Ling, Wei Chen, Geir E. Dullerud
Summary: This article focuses on a specific type of discrete-time switched linear systems, where the switching signal is controlled by a Markov chain. It investigates the switching law design and seeks to find an optimal mode feedback controller to minimize a quadratic performance index. The admissible set of the mode feedback control is explored, and sufficient conditions for desired stochastic stability are derived. Algorithms are proposed for approximating the original performance index and calculating the optimal mode feedback controller. The effectiveness of the proposed mode feedback control mechanism is demonstrated through simulation results.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Rathinasamy Sakthivel, Venkatesan Nithya, Veeralpatti Thangavel Suveetha
Summary: This article investigates the problem of resilient finite-time fault detection dissipative-based filter design for a class of discrete-time semi-Markovian jump systems with incomplete measurements, dynamic quantization, and time-varying delay. The proposed filter design addresses various network-induced imperfections, such as missing measurements, transmission delay, and dynamic signal quantization, by modeling them using stochastic variables following the Bernoulli random distribution. By assuming proper Lyapunov-Krasovskii functional and using the S-procedure lemma, a set of sufficient conditions is derived in terms of linear matrix inequalities (LMIs) to ensure that the augmented filtering error system is stochastically finite-time bounded with prescribed dissipative performance. The applicability and usefulness of the proposed filter design are demonstrated through a pulse-width-modulation-boost-converter (PWM) model.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2022)
Article
Automation & Control Systems
Tianbo Xu, Xianwen Gao, Wenhai Qi
Summary: This paper presents the analysis results of disturbance-observer-based control (DOBC) for semi-Markovian jump systems (S-MJSs) with time-varying delay and generally uncertain transition rate (TR). The proposed method addresses issues such as conservatism of stability and difficulty in obtaining TR in practical systems, while also considering external disturbances and time-varying delays. Practical examples are used to demonstrate the effectiveness of the proposed methods.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2021)
Article
Computer Science, Artificial Intelligence
Zongcheng Liu, Hanqiao Huang, Ju H. Park, Jiangshuai Huang, Xin Wang, Maolong Lv
Summary: This paper proposes a global consensus control method with fully distributed manner for multiagent systems (MAS) under switching directed communication topologies and unknown system nonlinearities. Fuzzy logic systems (FLSs) are used to approximate the unknown disturbances, enhancing system robustness. A reconstructing mechanism using a novel piecewise differentiable function is introduced to deal with the switching topologies, enabling control design based on barrier functions. The proposed method achieves global consensus for MAS with switching directed topologies and unknown nonlinearities, and simulation results confirm its effectiveness.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Yunfei Qiu, Ju H. H. Park, Changchun Hua, Xijuan Wang
Summary: This article investigates the stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. Firstly, a novel Lyapunov-Krasovskii functional (LKF) is proposed by fully utilizing single integral polynomial-delay-product terms and membership-function-dependent matrices, considering more delay information. Secondly, by introducing negative integral estimation inequalities and polynomial inequality, the estimation gap of derivatives is further decreased. As a result, a less conservative criterion is presented. Finally, examples are used to verify the validity of the stability approach.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Fang Fang, Jiayu Li, Yajuan Liu, Ju H. Park
Summary: In this article, a resilient distributed sampled-data control scheme is proposed for multiagent systems. The scheme introduces novel logic processors to obtain information on DoS attacks and develops resilient distributed controllers using derived criteria. Two examples are provided to demonstrate the efficiency of the proposed scheme.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2023)
Article
Automation & Control Systems
Chenhui Jiang, Ze Tang, Ju H. Park, Neal N. Xiong
Summary: This article mainly studies the projective quasisynchronization for an array of nonlinear heterogeneous-coupled neural networks with mixed time-varying delays and a cluster-tree topology structure. The conditions for achieving cluster projective quasisynchronization are derived, and the synchronization error bound is optimized.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Dong Ding, Ze Tang, Ju H. Park, Yan Wang, Zhicheng Ji
Summary: This article investigates the synchronization of complex networks with nonlinear couplings and distributed time-varying delays. It analyzes a leader-following quasisynchronization issue using impulsive control due to the mismatched parameters of individual systems. A dynamic self-triggered impulsive controller is proposed to predict the available instants of impulsive inputs. The synchronization conditions within a specific bound are derived using the Lyapunov stability theorem and the comparison method.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Guopin Liu, Ju H. Park, Changchun Hua, Yafeng Li
Summary: This article considers the load frequency control problem for power systems using the dynamic event-triggered control approach. A model-based feedback controller is designed to compensate for errors between plant states and feedback data. A dynamic event-triggered mechanism is proposed to exclude Zeno behavior by regularizing the triggering interval. A hybrid model is established to describe the dynamics of the power system under DoS attacks. The stability of the power system can be preserved if the attacks frequency and duration are within a certain range.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Computer Science, Information Systems
Hao Shen, Yu-An Liu, Kaibo Shi, Ju H. Park, Jing Wang
Summary: This article introduces a more general semi-Markov process to describe the switching of communication topology among distributed generations in a microgrid. A distributed resilient secondary control method is proposed considering network constraints, network security, communication burden, and transmission delay. The method reduces communication numbers and transmission rate while achieving frequency restoration and accurate real power sharing of the microgrid.
IEEE SYSTEMS JOURNAL
(2023)
Article
Engineering, Electrical & Electronic
Bo Zhang, Chunxia Dou, Dong Yue, Ju H. Park, Yusheng Xue, Zhanqiang Zhang, Yudi Zhang, Xiaohua Ding
Summary: In this study, a hierarchical multi-mode management strategy is proposed for restoring the balance of supply and demand in a severely disturbed microgrid. The strategy includes predicting and fitting the support capacity of neighbor microgrids, managing local source-storage-load, and establishing mathematical models for analyzing system stability. The effectiveness of the proposed methods is verified through case studies.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Automation & Control Systems
Zhihua Wang, Ze Tang, Ju H. Park, Jianwen Feng
Summary: This article investigates the global and exponential synchronization of Lur'e networks with hybrid time-varying delays. A novel impulsive adaptive controller is presented to save control costs, where the adaptive feedback control input is used to compensate the control effects of the impulsive signal. Suitable control gains are obtained based on adaptive updating laws. Sufficient conditions for achieving global and exponential synchronization of Lur'e dynamical networks are derived using the definition of average impulsive interval, the generalized comparison principle, and the formula of parameter variation. Two numerical simulations are provided to illustrate the effectiveness of theoretical analysis and the control scheme.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2023)
Article
Automation & Control Systems
Guopin Liu, Ju H. Park, Hongshuang Xu, Changchun Hua
Summary: This paper considers the output-feedback tracking control problem for a class of nonlinear time-delay systems in a strict-feedback form. A novel output-feedback control scheme is proposed using the backstepping approach, which can guarantee the system performance within a prescribed region. An adaptive fuzzy approximation control strategy is also proposed when the upper bound functions are unknown.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Deqiang Zeng, Liping Yang, Ruimei Zhang, Ju H. Park, Zhilin Pu, Xiangpeng Xie
Summary: This article studies the synchronization in probability of reaction-diffusion neural networks (RDNNs) with stochastic sampling. A new switching system protocol is proposed by introducing a stochastic switching parameter for stochastic sampling control systems, effectively improving existing methods. A stochastic switching sampled-data controller is designed using the protocol, transforming the considered system into a switching system. New synchronization in probability criteria are established for RDNNs by constructing a new stochastic switching Lyapunov-Krasovskii functional (LKF) and utilizing the law of large numbers and the Lagrange mean value theorem. The effectiveness of the proposed results is verified by two numerical examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Xiangze Lin, Jingxin Huang, Ju H. H. Park
Summary: This article investigates the problem of adaptive nonsmooth state-feedback stabilization for uncertain output-constrained cascade switched systems. To solve the problem of adaptive control, some mild assumptions have been imposed on the subsystems, such as zero dynamics with input-to-state stability, nonlinear terms with a growth condition, and well-known small signal conditions. State-feedback control laws are designed and an adaptive law is constructed using the adding a power integrator (AAPI) technique. A common Lyapunov function is constructed to cope with output constraints. The proposed method can handle adaptive stabilization of switched systems with uncertain cascade switched systems with/without output constraints.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Dong Ding, Ze Tang, Ju H. Park, Zhicheng Ji
Summary: This study focuses on the bipartite synchronization issue of multicoupled complex dynamic networks with mismatched parameters. A generalized processing analysis method for networks with derivative coupling is presented, and a novel memory-based self-triggered impulsive controller is designed. Sufficient conditions for bipartite synchronization are obtained using the Lyapunov stability theorem, parameter variation approach, and the definition of average impulsive interval. The introduction of the average impulsive gain allows for estimation of convergence rates and error bounds. Numerical examples and comparative experiments demonstrate the effectiveness of the proposed mathematical deductions.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
M. S. Mekala, Gaurav Dhiman, Ju H. Park, Ho-Youl Jung, Wattana Viriyasitavat
Summary: This article introduces a method for improving service reliability and quality in edge computing, which optimizes service execution error rate through the node-centric Lyapunov method and distributed Markov mechanism. Furthermore, a nonlinear programming multi-tenancy heuristic method is used to enhance resource utilization.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2023)
Article
Automation & Control Systems
Wenhui Dou, Shihong Ding, Ju H. Park
Summary: This article proposes a novel event-triggered second-order sliding mode (SOSM) control algorithm using the small-gain theorems. The algorithm has a global event property in terms of the triggering time intervals. It first designs an SOSM controller related to the sampling error of states and proves the finite-time input-to-state stability (FTISS) of the closed-loop system with the sampling error using the small-gain theorems. Then, a new triggering mechanism is proposed based on the sampling error by designing the appropriate FTISS gain condition. The practical finite-time stability of the closed-loop system is verified, showing that the minimum triggering time interval is always positive in the whole state space. Finally, simulation results demonstrate the effectiveness of the developed control method.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
