Abstract
Interval Observer Design for Discrete-Time Switched Systems by Linear Programming Method
Highlights
As a kind of an important hybrid system, switched systems have been paid much attention in the past decades [1, 2]
The tool that we employ is the linear programming method, and the multiple linear copositive Lyapunov function is used to analyze the stability of error systems
As far as we know, it is the first piece of work to apply the Linear Programming (LP) method to design the interval observer for discrete-time switched system
Summary
As a kind of an important hybrid system, switched systems have been paid much attention in the past decades [1, 2]. Under the given switching law, only one subsystem can be activated at each time. The states cannot be obtained directly, the observer's design for switched systems is important. By using the coordinate transformation method [23], and [24] addressed the interval observers design problem for nonlinear systems. To the best knowledge of the authors, the interval observers for switched systems have been paid little attention [29 - 31]. Motivated by the above discussion, this paper investigates the interval observers design approach for discrete-time switched systems. Different from the mentioned works [29 - 31], the observer gains are constructed by Multiple Linear Copositive Lyapunov Function (MLCLF), and sufficient conditions for the existence of the interval observers are given by LP forms.
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