Regulator problem for linear discrete-time delay systems with Markovian jumping parameters and symmetrical constraints

Authors:
N. Daraoui;A. Benzaouia
Affiliations:
Faculty of Science Semlalia, Department of Physics, Research unit: Constrained and Robust Regulation, Marrakech, Morocco;Faculty of Science Semlalia, Department of Physics, Research unit: Constrained and Robust Regulation, Marrakech, Morocco
Venue:
International Journal of Systems Science
Year:
2006

Citing 3
Cited 0

Deterministic and Stochastic Time-Delay Systems

Deterministic and Stochastic Time-Delay Systems
Time-Delay Systems: Analysis, Optimization and Applications

Time-Delay Systems: Analysis, Optimization and Applications
Technical Communique: Exponential stabilizability of stochastic systems with Markovian jumping parameters altfnThis paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Editor Peter Dorato.

Automatica (Journal of IFAC)

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Abstract

In this paper, we investigate the regulation problem for linear discrete-time delay systems with Markovian jumps and constrained control. The constraints used here are of symmetrical inequality type. A sufficient condition of stochastic stability of closed-loop system is derived. We use the positive invariance approach of the common set for all the modes to guarantee the admissibility of the control law. In the case of one mode, we obtain the condition of stability for a linear discrete-time delay system as known in the literature. A numerical example is given to illustrate the theoretic results.