不确定时滞奇异摄动控制系统的滤波器设计

Filter Design for Uncertainty Singularly Perturbed Control System with Time Delay

构造一种新的滤波误差动态系统,基于Lyapunov稳定性理论,矩阵分析方法、线性矩阵不等式方法和时滞分段分析、自由权矩阵等方法,研究不确定性时滞奇异摄动控制系统的滤波器设计方法。获得了新的滤波器存在条件和滤波器设计算法,以及具体求解滤波器的参数化线性矩阵不等式条件,该方法不需要系统分解和降阶技术,可以为相关控制领域的系统分析、设计提供一定的理论参考,适用于标准和非标准情形,最后用数值样例证明所设计方法的有效性和可行性。

Based on the Lyapunov stability theory,the filter design for uncertainty singularly perturbed filterable system with time delay is studied by using linear matrix inequality methods,time-delay segment analysis methods,free-weight matrix methods and matrix analysis methods,etc.By constructing a new filtering error dynamic system,the filter existence theorem is put forword,and then a new filter design algorithm is further deduced.It does not need system decomposition and order reduction techniques,to provide theoretical reference for system analysis and design in related control fields,and is suitable for standard and non-standard cases,finally,a numerical example is given to demonstrate the effectiveness and feasibility of the designed method.