摘要
针对一类用T-S模糊模型描述的多时滞离散不确定系统,研究了其输出反馈保性能鲁棒控制问题。基于线性矩阵不等式方法,给出了系统模糊输出反馈保性能控制律存在的一个充分条件和性能上界,并证明了该条件等价于一组线性矩阵不等式的可行性问题。通过建立和求解一个凸优化问题,给出了系统设计次优保性能模糊输出反馈控制律的方法。最后通过算例验证了结果的有效性。
Based on T-S fuzzy model, a fuzzy output feedback guaranteed cost control problem is studied for a class of uncertain discrete-time systems with multiple time delays. A Sufficient condition for the existence of fuzzy output feedback guaranteed cost control law and upper bound of cost function for the systems are given by using the linear matrix inequality method. Furthermore, it is shown that this condition is equivalent to the feasibility problem of guaranteed cost controllers. Based on that fact, the design method for the suboptimal fuzzy guaranteed cost control law is formulated as a convex optimization problem, which can be solved by recent convex optimization techniques. Finally, a numerical example is provided to demonstrate the validity of the proposed method.
出处
《电气传动自动化》
2007年第1期12-16,共5页
Electric Drive Automation
关键词
多时滞
模糊输出反馈
保性能控制
离散不确定系统
multiple time delays
fuzzy output feedback
guaranteed cost control
uncertain discrete systems
