基于部分状态信息的控制器是一类特殊的静态输出反馈控制器,一般难以利用线性矩阵不等式工具求解.本文研究离散T-S模糊系统的部分状态反馈镇定及部分状态反馈H∞控制问题.通过引入松弛变量,将离散T-S模糊系统的部分状态反馈镇定问题转换成求解一组线性矩阵不等式(LMI),并给出基于LMI的部分状态反馈H∞控制器设计方法.通过数值算例验证了所给方法的有效性.
Controllers based on partial state information are a special class of static output feedback controllers and are usually difficult to design with linear matrix inequality (LMI) technique. This paper investigates the problems of partial state feedback stabilization and partial state feedback H∞ control of discrete T-S fuzzy systems. By intruducing relax variables, the partial-state-feedback stabilization problem of discrete T-S fuzzy system is transformed into the problem of solving a set of LMIs, and an LMI-based design method of partial-state-feedback H∞ controller is given. Numerical examples are given to illustrate the validity of the presented methods.