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The problem of robust H∞ model reduction for uncertain stochastic systems with time-delay is considered in this paper. For a given stable system, we focus on the construction of reduced-order models which guarantee the corresponding error system to be asymptotically stable and have a prescribed H∞ performance. Sufficient conditions are obtained for the existence of solutions to time-delay dependent...
In this paper the problems of H∞ performance analysis and control of networked control systems with time varying sampling intervals and delays are studied. A new impulsive system based method is introduced to deal with this problem. Moreover, a new Lyapunov-Krasovskii functional is proposed to establish sufficient conditions for exponential stability and H∞ control of networked control systems. The...
The state observer and H∞ control via output feedback for time-delay neutral systems are studied in this paper. A sufficient condition is given for the existence of the H∞ state observer of the system first. And then a new criterion of the stability for the closed loop system via output feedback is presented by two linear matrix inequalities. Finally a numerical example is given to demonstrate the...
This paper is concerned with non-fragile H∞ filtering for linear systems in network environments. The filtering error system is modeled as a linear system with an interval time-varying delay. Then a delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H∞ disturbance attenuation level, where the non-fragility...
In this technical note, an H2 approach to network-based control system with multiple packet dropouts is introduced. The communication links over network media are assumed to be data-packet dropouts. Two channel packet dropouts are simultaneously considered due to limited communication capacity and unreliable communication links. One is measurement channel packet dropouts which are from the sensor...
Based on observer, delay-dependent robust H∞ controller design problem for time-delay systems with a class of nonlinear uncertainties is discussed in the paper. Assuming that the nonlinear uncertain functions in the considered model are gain-bounded, we obtain a sufficient condition for the robustly asymptotic stability and H∞ performance of the closed-loop system in the light of Lyapunov stability...
The problem of decentralized H∞ state feedback control for a class of large-scale systems made of switched linear systems is addressed. Using convex combinations approach, decentralized switching strategy and decentralized control laws are presented based on linear matrix inequalities. These switching strategy and control laws guarantee the global asymptotical stability of the controlled systems in...
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