不确定离散模糊系统的保性能控制

对一类具有范数有界、时变参数不确定性的离散模糊时间系统和一个二次型性能指标的保性能状态控制律的设计问题进行研究。通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，证明了该条件等价于一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。在此基础上，通过建立并求解一个凸优化问题，给出了保性能控制律的设计方法。

Guaranteed Cost Control for Uncertain Discrete-time Fuzzy Systems

For a class of discrete-time fuzzy systems with norm-bounded time-varying parameter uncertainty and a quadratic cost index,the problem of designing an guaranteed cost state feedback controller is considered.A necessary and sufficient condition for the existence of guaranteed cost control is derived.Furthermore,it is shown that this condition is dquivalent to the solvability problem of a system of linear matrix inequalities,and its solution provided a parameterized representation of guaranteed cost controllers.Based on that,the design problem of the guaranteed cost controller is formulated as a convex optimization problem,which can be solved by the existing convex optimization techniques.Finally,an example is given to illustrate the proposed results.