不确定多时滞非线性系统的H_∞输出反馈控制器设计  

On Designing Output Feedback H_∞ Controller for Uncertain Nonlinear Systems with Multiple Time Delays

作　　者：贾秋玲[1] 吴成富[1] 王新民[1] 何长安[1] 

机构地区：[1]西北工业大学自动化学院,陕西西安710072

出　　处：《西北工业大学学报》2003年第6期719-722,共4页Journal of Northwestern Polytechnical University

基　　金：国家"973"重点发展研究项目 ( G19980 30 4 17)

摘　　要：研究一类更具一般性的不确定性范数有界的多时滞非线性系统的输出反馈 H∞ 控制问题。运用微分对策和耗散性原理 ,给出了这类问题可解的充分条件。文章的要旨在于只要一对 Riccati方程的解存在 ,就能确定出输出反馈控制律中的参数矩阵。典型算例说明了此类控制律的设计步骤 ,仿真结果表明 ,该方法对干扰输入具有较强的抑制能力。Our previous paper on the same subject suffers from two shortcomings: (1)the two Riccati equations concerned are coupled; (2)the gain matrix requires separate determination. In this paper, we present a more elegant solution avoiding these two shortcomings. Section 2 forms the core of this paper. In its turn, Theorem 1 forms the core of section 2. Theorem 1 presents the sufficient conditions for the solvability of the measurement output feedback H ∞ control based on observer for a class of uncertain nonlinear systems with multiple time delays and norm bounded uncertainty. To sum up, section 2, particularly including Theorem 1, describes in some detail a method of design more elegant than that in Ref.6. Section 3 gives a numerical example showing step by step our design procedure; simulation results, shown in Fig.1, proves preliminarily that our design method is effective and that the designed controller can attenuate disturbances effectively .

关 键 词：不确定性 多时滞 非线性系统 输出反馈H∞控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]