In this paper, we consider the problem of finite-time H -optimal control of linear, singularly perturbed, discrete-time systems. The problem is addressed from the game theoretic approach. This leads to a singularly perturbed, matrix Riccati difference equation, the solution of which is given in term
Finite-time control of discrete-time systems with time-varying exogenous disturbance
โ Scribed by Lin Zhu; Yanjun Shen; Cuicui Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 169 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
This paper deals with some finite-time control problems for uncertain discrete-time linear systems subject to exogenous disturbance. Sufficient conditions are presented for finite-time stabilization via state feedback. These conditions can be reduced to feasibility problems involving linear matrix inequality (LMI). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example illustrates the proposed methodology.
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