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New approach to gain-scheduled H2 controller synthesis for continuous-time polytopic LPV systems

机译：用于连续时间多主题LPV系统的增益计划H2控制器综合的新方法

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摘要

This paper is concerned with the problem of gain-scheduled H2 controller synthesis for continuous-time linear parameter-varying systems. By employing a basis-parameter dependent Lyapunov function and introducing some slack variables to the well-established performance conditions, sufficient conditions for the existence of the desired gain-scheduled H2 state feedback are established in terms of parameterized linear matrix inequalities. Based on the polytopic characteristic of the dependent parameters and a convexification method, the corresponding controller synthesis problem is then cast into finite-dimensional convex optimization problem which can be efficiently solved by using standard numerical softwares. A numerical example is given to illustrate the effectiveness and advantage of the proposed method.
机译：本文关注的是连续时间线性参数变化系统的增益调度H2控制器综合问题。通过采用依赖于基本参数的Lyapunov函数并将一些松弛变量引入已建立的性能条件，就可以根据参数化线性矩阵不等式为存在所需的增益预定的H2状态反馈建立充分的条件。基于相关参数的多面体特征和凸化方法，将相应的控制器综合问题转化为有限维凸优化问题，可以通过使用标准数值软件有效地解决该问题。数值算例说明了该方法的有效性和优越性。

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