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EFFICIENT LMI-BASED QUADRATIC STABILITY AND STABILIZATION OF PARAMETER-DEPENDENT INTERVAL SYSTEMS WITH APPLICATIONS

机译:基于LMI的有效二次稳定性和参数依赖区间系统的稳定性及应用

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摘要

This paper is concerned with the problem of quadratic stability and stabilization for continuous-time linear parameter-dependent interval systems. Differing from previous results in the analysis and control design of interval systems, the new necessary and sufficient conditions proposed in this paper for the quadratic stability, quadratic stabilization and 3i-stabilization are based on parameter-dependent model representation of interval systems. In the quadratic framework, an approach based on a vertex result on interval uncertain parameters is proposed. This allows the solvability conditions to be presented in terms of a set of parameterized linear matrix inequalities which can be efficiently solved by using standard numerical softwares. A linearized longitudinal dynamic model of the flight control system of a supersonic cruise missile is presented to illustrate the effectiveness and advantage of the proposed methods.
机译:本文关注的是连续时间线性参数相关区间系统的二次稳定性和镇定问题。与以前的区间系统分析和控制设计结果不同,本文提出的区间系统二次稳定,二次稳定和3i稳定的新的充要条件是基于参数的区间系统模型表示。在二次框架中,提出了一种基于区间不确定参数顶点结果的方法。这允许以一组参数化线性矩阵不等式表示可解性条件,可以使用标准数值软件有效地解决这些问题。提出了超音速巡航导弹飞行控制系统的线性纵向动力学模型,以说明所提出方法的有效性和优势。

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