不确定时滞系统的自适应H_∞控制及仿真研究  

Daptive H_∞ Control and Simulation Study for Nonlinear Systems with Time-delay

作　　者：何率天[1] 柴春红[1] 

机构地区：[1]空军第一航空学院基础部,河南信阳464000

出　　处：《计算机仿真》2009年第4期223-227,共5页Computer Simulation

摘　　要：时滞和不确定性是自然界中广泛存在而又不可避免的现象。研究不确定时滞系统的稳定性与控制问题,对于解决工程中的时延问题,提高控制系统性能,有着理论和实践意义。采用模糊T-S模型对不确定非线性时滞系统进行逼近,利用保守性较弱的松散稳定性分析系统的鲁棒稳定性,并讨论了系统的H∞控制问题。所得结论利用线性矩阵不等式的形式给出,增益矩阵可以通过求解线性矩阵不等式直接得出。引入的自适应参数可以自动抵消不确定因素带来的扰动,具有较强的鲁棒性,在观测器中引入自适应参数,减小了因不确定性、扰动等因素造成的观测误差。最后通过一个实例验证了所给结论的有效性。Time - delay and uncertainty are phenomena of nature which exist widely and cannot be avoided. It is very important to study the stability and controlling problems of uncertain time - delay systems in resolving the retard questions of engineering and improving the performance of control systems. In this paper, the T - S fuzzy model is used to approach the uncertain nonlinear systems with time - delay, the relaxed stability method is adopted to analyze the robust stability of systems, and the H∞ controlling problem is also discussed. The sufficient stability conditions for closed - loop systems is proposed in the form of linear matrix inequalities, observer gains and feedback gains can be gotten by solving a set of linear matrix inequalities （LMIs）. The disturbance caused by uncertainty can be counteracted by the introduced adaptive parameter, which leads the systems have stronger robustness, the observe error caused by uncertainty and disturbance can be minished by the adaptive parameter introduced in the observer. Lastly, the effectiveness of the proposed method is illustrated by an example.

关 键 词：时滞系统 鲁棒稳定性 模糊自适应控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]