New results on discrete-time bounded real lemma for singular systems: strict matrix inequality conditions

Zhang, Gaomin; Jia, Yingmin

doi:10.1109/acc.2002.1024881

Cited by 4 publications

(1 citation statement)

References 18 publications

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“…The admissibility of a continuous-time and discretetime descriptor system are characterized in terms of strict LMIs in [12] and [14] respectively, but the results were not generalized to all LMI regions .…”

Section: Remarkmentioning

confidence: 99%

Robust pole-clustering for descriptor systems a strict LMI characterization

Marx¹,

Koenig²,

Duby³

2003

2003 European Control Conference (ECC)

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This paper tackles the problem of the characterization of robust pole-clustering for descriptor systems using linear matrix inequalities (LMI). It states a necessary and sufficient condition for a descriptor system to be impulse free and to have its finite poles in a specified convex region of the complex plane. A sufficient condition to guarantee this result in the presence of norm-bounded uncertainties is established. The results are expressed in terms of strict LMIs, thus they are numerically tractable with LMI optimization tools. Numerical examples are given.

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Section: Remarkmentioning

confidence: 99%

Robust pole-clustering for descriptor systems a strict LMI characterization

Marx¹,

Koenig²,

Duby³

2003

2003 European Control Conference (ECC)

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Improved LMI representations for bounded real criterion of systems with polytopic type uncertainty

Li¹,

Jia²

Proceedings of the 2003 American Control Conference, 2003.

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Non-fragile guaranteed cost controller design for discrete descriptor systems with parameter uncertainty

Xiao

2009

2009 Chinese Control and Decision Conference

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This paper is concerned with the design problem of non-fragile guaranteed cost controller for discrete descriptor systems with parameter uncertainty. The controller gain variations are assumed to be time-invariant and norm-bounded appearing in the controller coefficients. Sufficient conditions for the existence of a static state feedback guaranteed cost controller with additive uncertainty and multiplicative uncertainty are obtained in terms of a set of matrix inequalities, respectively. With these conditions, the problems of non-fragile guaranteed cost controller for discrete descriptor systems are solved. Explicit expressions of desired non-fragile state feedback guaranteed cost controllers are also given, and no matrix decomposition is required. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.

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New results on discrete-time bounded real lemma for singular systems: strict matrix inequality conditions

Cited by 4 publications

References 18 publications

Robust pole-clustering for descriptor systems a strict LMI characterization

Robust pole-clustering for descriptor systems a strict LMI characterization

Improved LMI representations for bounded real criterion of systems with polytopic type uncertainty

Non-fragile guaranteed cost controller design for discrete descriptor systems with parameter uncertainty

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