<i>H</i><sub>2</sub> output feedback controller design for discrete-time 2D switched systems

Zhaoxia Duan; Zhengrong Xiang

doi:10.1177/0142331213485279

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H₂ output feedback controller design for discrete-time 2D switched systems

Zhaoxia Duan Zhengrong Xiang

Year: 2013 Journal: Transactions of the Institute of Measurement and Control Vol: 36 (1)Pages: 68-77 Publisher: SAGE Publishing

DOI: 10.1177/0142331213485279

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Abstract

This paper investigates the H 2 control problem for a class of discrete-time two-dimensional (2D) switched systems represented by a model of Roesser type. By using a multiple Lyapunov function method, sufficient conditions for evaluation of the H 2 performance for the 2D switched systems are presented in terms of linear matrix inequalities. Based on the obtained results, an H 2 output feedback controller design scheme is developed for the discrete-time 2D switched systems. A numerical example is included to demonstrate the effectiveness of the proposed method.

Keywords:

Control theory (sociology) Discrete time and continuous time Controller (irrigation) Output feedback Lyapunov function Mathematics Linear matrix inequality Scheme (mathematics) Function (biology) Class (philosophy) Control (management) Computer science Mathematical optimization Nonlinear system

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Stability and Control of Uncertain Systems

Physical Sciences → Engineering → Control and Systems Engineering

Adaptive Control of Nonlinear Systems

Physical Sciences → Engineering → Control and Systems Engineering

Control and Stability of Dynamical Systems

Physical Sciences → Engineering → Control and Systems Engineering

H₂ output feedback controller design for discrete-time 2D switched systems

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