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H_2 GUARANTEED COST CONTROL BY DYNAMIC OUTPUT FEEDBACK FOR UNCERTAIN SINGULARLY PERTURBED SYSTEMS

机译:不确定奇异摄动系统的动态输出反馈H_2保证成本控制

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In this paper, the H_2 guaranteed cost output feedback control for uncertain singularly perturbed systems is addressed. The design procedure shows how the full-order uncertain system can be stabilized for small value of e > 0 avoiding high dimensionality and ill-conditioning. It is shown that when necessary and sufficient conditions formulated for the slow and fast subsystems are satisified, a singularly perturbed controller which stabilizes the full-order system is obtained. The solution of the H_2 guaranteed cost problem is searched in the set of such two time scale controllers.
机译:本文针对不确定奇异摄动系统,提出了H_2保证成本输出反馈控制方法。设计过程说明了如何在e> 0较小的情况下稳定全阶不确定系统,避免高维和不良情况。结果表明,当满足为慢子系统和快子系统制定的必要条件和充分条件时,可以获得稳定整个系统的奇摄动控制器。在这样的两个时标控制器的集合中搜索H_2保证成本问题的解决方案。

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