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Paper WeC10.2

Samadi, Behzad (Concordia University), Rodrigues, Luis (Concordia University)

Sampled-Data Piecewise Affine Slab Systems: A Time-Delay Approach

Scheduled for presentation during the Lecture Session "Switched Delay Systems" (WeC10), Wednesday, June 11, 2008, 16:20−16:40, Cascade I (A)

2008 American Control Conference, June 11-13, 2008, Westin Seattle Hotel, Seattle, Washington, USA

This information is tentative and subject to change. Compiled on April 16, 2014

Keywords Stability of hybrid systems, Switched systems, LMIs

Abstract

This paper addresses stability analysis of sampled-data piecewise-affine (PWA) systems consisting of a continuous-time plant and a discrete-time emulation of a continuous-time state feedback controller. We consider the sampled-data system as a delayed system with a variable delay. The paper then presents conditions under which the trajectories of the sampled-data closed-loop system will converge to an attracting invariant set. It is also shown that when the sampling period converges to zero, the conditions derived in this paper reduce to sufficient conditions for non-fragility of the stabilizing continuous-time PWA state feedback controller. A new result for linear systems is also presented. A numerical example demonstrates that the proposed method for linear systems is less conservative than existing methods.

 

 

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