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Mode-dependent H∞ Filtering for Time-varying Delays Neutral Jump Systems Based on FWM Technique
Guowei Zhao,Guangming Zhuang,Jianwei Xia,Wei Sun,Junsheng Zhao,Minsong Zhang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.6
This paper is concerned with the problem of mode dependent H∞ filter for uncertainty Markovian jump system with neutral delay and retarded time-varying delay. By using free weight matrix (FWM) technique, the stability conditions of delay dependent are obtained under the framework of Lyapunov stability theory. Based on those result, the delay dependent conditions for full order and mode dependent Markovian jump linear filters are gained, which are expressed by Linear matrix inequalities (LMIs). Finally, a numerical example and a PEEC practical example are employed to prove the validity of the results.
Kun Ma,Guangming Zhuang,Jianwei Xia,Guoliang Chen,Huasheng Zhang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.9
This paper considers the topic of the observer-based non-fragile mixed passivity and H∞ state feedback control for time-varying delay and norm-bounded parameter uncertainties fuzzy stochastic Markovian jump system subject to quantized measurements. The aim of this paper is to provide a suitable observer-based non-fragile state feedback controller to enhance stochastic stabilization of the closed-loop system and satisfy mixed passivity and H∞ performance. By constructing mode-dependent Lyapunov-Krasovskii functional, novel conditions are achieved in virtue of linear matrix inequalities. Two examples including truck-trailer model are given to illustrate the effectiveness of the developed method.
Yuqian Lin,Guangming Zhuang,Jianwei Xia,Wei Sun,Junsheng Zhao 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.3
In this paper, the problem of asynchronous robust H∞ dynamic output feedback control for Markovian jump neural networks with norm-bounded parameter uncertainties and mode-dependent time-varying delays is investigated. The improved delay-dependent stochastic stability conditions and bounded real lemma are obtained by introducing the relaxation variables, which reduces the conservatism caused by boundary technology and model transformation. An improved Lyapunov-Krasovskii functional is constructed using linear matrix inequalities. On this basis, the solution of robust H∞ dynamic output feedback problem and sufficient conditions for solving the problem of asynchronous dynamic output feedback controller are given respectively. Asynchronous dynamic output feedback controller is constructed to ensure that the closed-loop mode-dependent time-varying delays Markovian jump neural networks achieve different convergence speeds. The given H∞ performance index is satisfied for the delays not bigger than a given upper bound. Numerical examples are employed to show the effectiveness and correctness of the method presented in this paper.
Xin Wang,Guangming Zhuang,Jianwei Xia,Guoliang Chen,Huasheng Zhang 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.12
This paper addresses the problem of observer-based extended dissipative control for singular Markovian jump systems with time-varying delays. By using relaxed Lyapunov-Krasovskii functional approach and strict linear matrix inequality method, sufficient conditions are proposed to ensure that the delayed singular Markovian jumping system is stochastically admissible and extended dissipative. Based on these conditions, a desired observer-based memory state feedback controller is designed to ensure that the closed-loop system satisfies stochastic admissibility and extended dissipativity. Finally, two examples including a numerical example and an oil catalytic cracking process are provided to illustrate the effectiveness of the proposed methods.
Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems
Hui Gao,Jianwei Xia,Guangming Zhuang 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.3
This paper investigates the problem of finite-time extended dissipative analysis and control for a class of uncertain switched time delay systems, where the uncertainties satisfy the polytopic form. By using the average dwell-time and linear matrix inequality technique, some sufficient conditions are proposed to guarantee that the switched system is finite-time bounded and has finite-time extended dissipative performance, where the H∞, L2-L∞, Passivity and (Q, S, R)-dissipativity performance can be solved simultaneously in a unified framework based on the concept of extended dissipative. Furthermore, a state feedback controller is presented to guarantee that the closedloop system is finite-time bounded and satisfies the extended dissipative performance. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.