Robust Control Synthesis for Linear Differential Systems with Parametric Uncertainty

Yitao Yan, Ruigang Wang, J. Bao
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引用次数: 2

Abstract

This paper presents a robust control synthesis method for linear time-invariant (LTI) differential systems with parametric uncertainty. The uncertain dynamics is described by a parametric kernel representation. We use parametric quadratic differential forms (QDF) to represent the dissipativity properties (both storage function and supply rate) of the uncertain system. The control design utilizes sum-of-squares (SOS) programming to search for a QDF supply rate for the controller such that the supply rate of the closed-loop system satisfies robust stability and performance conditions. Such a supply rate is then applied for control synthesis based J-factorization.
参数不确定性线性微分系统的鲁棒控制综合
针对具有参数不确定性的线性时不变(LTI)微分系统,提出了一种鲁棒控制综合方法。不确定动力学用参数核表示来描述。我们使用参数二次微分形式(QDF)来表示不确定系统的耗散特性(存储函数和供应速率)。控制设计利用平方和(SOS)编程来搜索控制器的QDF供电率,使闭环系统的供电率满足鲁棒稳定性和性能条件。然后将这样的供给率应用于基于j因子分解的控制综合。
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