Delay-Independent Stabilization of Linear Discrete-Time Systems with Uncertain Delay
- Authors
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Bogdan Dumitrescu
Department of Automatic Control and Computers, POLITEHNICA University of Bucharest, Spl. Independentei 313, 060042 Bucharest, Romania
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- Abstract
- We propose two methods for testing the delay-independent stability of discrete-time systems with unknown delay. Both have LMI form. The first method is based on a polynomial Lyapunov equation that is equivalent to the stability of a parametric matrix. The second method tests the strict positivity of a bivariate matrix polynomial. Both methods are shown to give better results than previous methods. Also, we extend the polynomial Lyapunov function approach to finding a delay-independent stabilizing static output feedback, using an iterative algorithm in which each iteration consists of solving LMIs. The behavior of the algorithm is illustrated with extensive results.
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- Published
- 2010-06-15
- Issue
- Vol. 12 No. 2 (2010)
- Section
- Articles