摘要
针对二次型代价指标,研究了一类状态和控制输入都存在时滞的参数不确定线性离散切换系统的保代价控制问题。利用分段Lyapunov函数,在基于状态的切换规则下,给出了此类系统保代价控制律,所得到的控制律不仅能使系统闭环鲁棒渐近稳定,而且使系统的闭环代价指标在对象参数摄动的范围内不超过确定的上界。最后通过一个实例的仿真验证了设计方法的有效性。
The guaranteed cost control problem of the uncertain discrete time switched systems with delayed states and inputs is discussed for the quadrautic performance index. Based on the piecewise quadratic Lyapunov functions,the synthesis method of the guaranteed cost controllers with state-based switching law is developed. By the obtained control law,the perturbed discrete time switched systems can be asymptotically stabilized and the close loop cost is not greater than a specified upper limit for all admissible uncertainties. The simulation result shows the effectiveness of the proposed approach.
出处
《科技通报》
北大核心
2009年第2期207-213,共7页
Bulletin of Science and Technology
基金
国家自然科学基金资助项目(60604017)
