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Mixed H2/H∞ Control for a Class of Nonlinear Networked Control Systems
Yanqian Wang,Junwei Lu,Ze Li,Yuming Chu 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.3
In this paper, the mixed H2=H∞ control problem is investigated for a class of nonlinear discrete-time networkedcontrol systems with random network-induced delays, stochastic packet dropouts and probabilistic sensorfaults. The packet dropouts process is modeled as a homogeneous Markov chains taking values in a finite statespace. Network-induced delays occur in a random way with known upper bound. A set of stochastic variablesare exploited to describe sensor faults with different probabilistic density functions. By using a delay-dependentLyapunov functional, a mode-dependent mixed H2=H∞ controller is designed to guarantee both stochastic stabilityof the closed-loop system and the prescribed H2, H∞ control performances. Sufficient conditions for the existenceof the mixed H2=H∞ controller are presented in terms of a series of LMIs. If these LMIs are feasible, then the modedependentmixed H2=H∞ controller can be obtained. A numerical example is given to demonstrate the effectivenessof the developed method.