Parameter and Controller Dependent Lyapunov Functions for Robust D-Stability and Robust Performance Controller Design

Graziano Chesi

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Parameter and Controller Dependent Lyapunov Functions for Robust D-Stability and Robust Performance Controller Design

机译：参数和控制器相关的Lyapunov函数可实现稳定的D稳定性和稳定的性能控制器设计

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This paper addresses the design of output controllers of chosen order in a given set for ensuring a number of desired properties, such as robust D-stability and robust performance. It is shown that a sufficient condition for determining such controllers can be obtained by solving convex optimization problems with linear matrix inequality constraints through the introduction of a Lyapunov function depending polynomially on both uncertainty and controller. The proposed condition is also necessary for sufficiently large degrees of the polynomials involved under some assumptions.

机译：本文介绍了给定集合中选定顺序的输出控制器的设计，以确保许多所需的属性，例如鲁棒的D稳定性和鲁棒的性能。结果表明，通过引入依赖于不确定性和控制器的多项式的Lyapunov函数，可以解决具有线性矩阵不等式约束的凸优化问题，从而可以获得确定此类控制器的充分条件。对于某些假设所涉及的足够大的多项式，建议的条件也是必要的。

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来源
《IEEE Transactions on Automatic Control》 |2017年第9期|4798-4803|共6页
作者
Graziano Chesi;
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作者单位

Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong;

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原文格式 PDF
正文语种 eng
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关键词
Robustness; Lyapunov methods; Symmetric matrices; Uncertainty; Cost function; Convex functions;

机译：鲁棒性;Lyapunov方法;对称矩阵;不确定性;成本函数;凸函数;

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Parameter and Controller Dependent Lyapunov Functions for Robust D-Stability and Robust Performance Controller Design

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