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基于鲁棒可靠性的不确定系统最优二次鲁棒镇定控制器设计
引用本文:郭书祥.基于鲁棒可靠性的不确定系统最优二次鲁棒镇定控制器设计[J].航空学报,2007,28(6):1438-1442.
作者姓名:郭书祥
作者单位:空军工程大学,理学院,力学教研室,陕西,西安,710051
基金项目:中国博士后科学基金 , 空军工程大学理学院科学基金
摘    要: 基于二次稳定性准则,从可靠性这一新的角度考虑不确定系统的稳定性问题,提出了基于鲁棒可靠性的不确定系统鲁棒镇定控制器设计方法,将鲁棒控制器设计归结为基于可靠性的优化问题:以鲁棒可靠度为约束,极小化控制代价。依据该法设计的控制系统可满足稳定性意义上的鲁棒可靠性要求,并给出保证系统稳定性所要求的基本参数的最大鲁棒界限。适用于不确定参数的摄动范围准确已知和未知等情况。对F4E型战斗机的稳定控制器设计及对比研究表明了所提方法是实用、有效和可行的。

关 键 词:鲁棒控制  稳定性  鲁棒可靠性  线性矩阵不等式

Optimal Controller Design of Quadratic Stabilization of Parametric Uncertain Systems Using Robust Reliability Method
Guo Shuxiang.Optimal Controller Design of Quadratic Stabilization of Parametric Uncertain Systems Using Robust Reliability Method[J].Acta Aeronautica et Astronautica Sinica,2007,28(6):1438-1442.
Authors:Guo Shuxiang
Institution:Faculty of Mechanics, Science Institute, Air Force Engineering University
Abstract:Stability issue of uncertain systems is studied from a new viewpoint of reliability and based on quadratic σ stability criterion.A new method for robust stabilizing controller design of parametric uncertain systems that based on robust reliability consideration is proposed.The optimal robust controller design is carried out by an optimization based on reliability, and the controller designed by the presented method can satisfy the requirements for robust reliability in the sense of quadratic stability and the maximum robustness bounds of uncertain parameters can be provided.
Keywords:robust control  stability  robust reliability  linear matrix inequality
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