Robust stability test for uncertain discrete-time systems: a descriptor system approach

This paper presents a new and less conservative condition for the robust sta- bility test of discrete-time polytopic systems by using a descriptor system approach. The sta- bility condition is formulated in terms of a set of linear matrix inequalities and can be easily adapted for robust controller synthesis. The developed results can be viewed as a discrete- time counterpart of the continuous-time one proposed by Cao and Lin (2004). This also en- ables us to ofier a unifled framework, namely the so-called descriptor system approach, for the analysis and synthesis of both discrete-time and continuous-time uncertain linear systems. Simulation examples are given to illustrate the theoretical results we established.

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