时滞广义区间系统的弹性保性能控制

研究了一类时滞广义区间系统的弹性保性能控制问题.利用线性矩阵不等式处理方法,导出了系统弹性保性能控制器存在的条件,证明了该条件等价于一个线性矩阵不等式的可行性问题,并用该线性矩阵不等式的可行解给出了弹性保性能控制器的一个参数化表示.进一步,通过求解一个凸优化问题,给出了系统的最优弹性保性能控制器的设计方法.最后的数值例子说明了所给方法的有效性.

Resilient guaranteed cost control for singular interval systems with time-delay

The problem of resilient guaranteed cost control was investigated for a class of singular interval systems with time-delay.A condition for the existence of resilient guaranteed cost controller is derived.Furthermore,it is shown that this condition is equivalent to the feasibility problem of a linear matrix inequality(LMI),and its solutions provide a parametrized representation of resilient guaranteed cost controllers.On this basis,the design problem of the optimal resilient guaranteed cost controller for the systems 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 application of the proposed method.