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Observer-based Extended Dissipative Control for Delayed Singular Markovian Jump Systems via Relaxed Lyapunov-Krasovskii Functional

Xin Wang, Guangming Zhuang*, Jianwei Xia, Guoliang Chen, and Huasheng Zhang
International Journal of Control, Automation, and Systems, vol. 20, no. 12, pp.3833-3848, 2022

Abstract : 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.

Keyword : "Extended dissipative control, Markovian jump systems, memory state feedback controller, relaxed Lyapunov-Krasovskii functional, singular systems. "

 
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