Abstract

ZHANG, W.; SU, H.; LIANG, Y.  and  HAN, Z.. Robust stability test for uncertain discrete-time systems: a descriptor system approach. Lat. Am. appl. res. [online]. 2011, vol.41, n.4, pp.359-364. ISSN 0327-0793.

This paper presents a new and less conservative condition for the robust stability test of discrete-time polytopic systems by using a descriptor system approach. The stability 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 discretetime counterpart of the continuous-time one proposed by Cao and Lin (2004). This also enables us to offer a unified 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.

Keywords : Discrete-time systems; Robust stability; Parameter-dependent Lyapunov functions; Descriptor system approach.

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