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摘要: 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.该文研究了Takagi-Sugeno模糊模型的部分状态反馈控制问题,设计问 题可以归结为求解一组双线性矩阵不等式.通过使控制器增益由全状态反馈变化为部分状态 反馈,这类双线性矩阵不等式可以利用同伦算法求解.从而,镇定模糊部分状态反馈控制器可 以通过迭代方法得到.仿真例子验证了算法的有效性.Abstract: Controller using partial state information belong to a class of static output feedback controllers, and is difficult to obtain by using linear matrix inequality. This paper considers a fuzzy partial-state-feedback controller design problem for the Takagi-Sugeno (T-S) fuzzy systems. The design problem can be reduced to a feasibility problem of a set of bilinear matrix inequalities (BMIs). The objective of this paper is to propose an algorithm for solving the resulting BMIs by using the idea of the homotopy method, where controller gains are deformed from the fuzzy full-state-feedback matrices to the fuzzy partial-state-feedback gains. Thus, the stabilizing fuzzy partial-state-feedback controller gains can be obtained via an iterative algorithm. The efficiency of the proposed algorithm is demonstrated by a simulation example.
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Key words:
- Fuzzy systems /
- partial-state-feedback /
- bilinear matrix inequalities
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