离散马尔可夫跳变不确定系统的保成本控制

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) Pub Date : 1998-06-21 DOI:10.1109/ACC.1998.703504

E. Boukas, P. Shi

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引用次数: 5

摘要

首先研究了一类具有马尔可夫跳变参数和Frobenius范数有界参数不确定性的不确定离散线性系统的鲁棒二次均方稳定性和镇定问题。给出了上述问题的充分必要条件，其形式是一组耦合代数Riccati不等式的正定解。然后，研究了底层系统的鲁棒二次保成本控制问题。保证成本控制的目的是确保成本函数在一定范围内，而不考虑所有可接受的不确定性。

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Guaranteed cost control of discrete-time Markovian jumping uncertain systems

We first study the problems of robust quadratic mean square stability and stabilization for a class of uncertain discrete-time linear systems with both Markovian jumping parameters and Frobenius norm-bounded parametric uncertainties. Necessary and sufficient conditions for the above problems are proposed, which are in terms of positive definite solutions of a set of coupled algebraic Riccati inequalities. Then, the problem of robust quadratic guaranteed cost control for the underlying systems is investigated. A guaranteed cost control is designed to ensure the cost function is within a certain bound, irrespective of all admissible uncertainties.

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Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)

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