一类不确定双线性系统的状态反馈Robust控制*
Robust Control via State Feedback for a Class of Uncertain Bilinear Systems
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摘要: 本文针对一类含不确定性的双线性系统设计了一种线性状态反馈控制.在一定的条件下,利用改进的李雅普诺夫第二方法关于稳定性的理论,证明了系统的稳定性.并给出例子说明.Abstract: This paper is concerned with the problem of designing a salabilizing controller for a class of uncertain bilinear systems. The uncertainties in the systems must satisfy matching condition and their bounds should be known. The so-called imyroved gpproach for stability analysis of nonlinear systems is used. Under some suitable assumptions a linear robust state feedback controller can be desikned. At last an illustralive example is demonstrated.
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Key words:
- Robust control /
- bilinear system /
- uncertain /
- stability analysis /
- Liapunov function
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[1] W,C,Yang and M,Tomizuka,Discrete-time Robust control via state feedback for single input systems,IEEE Trans,Automat,Control.,AC-35(1990),590-598 [2] 俞向呈、顾兴源,一类不确定离散时间系统的最优鲁棒控制,自动化学报.18(5)(1992),542-550 [3] B.R.Barmish,M,Corless and G,Leitmann,A new class of stabilizing controllers for uncertain dynamical systems,SIAM J,Control Optim.,21(2)(1983),246-255. [4] K,Liu and F,L.Lewis,An improved result on the stability analysis of nonlinear systems,IEEE Trans.Automat,Control.,AC-37(9)(1992).1425-1431. [5] 华向明,《双线性系统建模与控制》,华东化工学院出版社,上海(1990),148-166. [6] 高为炳,《运动稳定性基础》,高等教育出版社.北京(1987). -
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