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研究具有非线性结构扰动广义系统的鲁棒H∞控制和鲁棒H∞保性能控制问题,该不确定性为时间和状态的函数,且满足Lipschitz条件.目的是分别设计系统的鲁棒H∞控制器和鲁棒H∞保性能控制器.应用线性矩阵不等式方法,分别给出了系统的鲁棒H∞控制器和鲁棒H∞保性能控制器存在的充分条件.当这些条件可解时,分别给出了鲁棒H∞控制器和鲁棒H∞保性能控制器的表达式.最后通过一个仿真算例说明了所给出方法的应用.
The problem of robust H∞ control and robust H∞ guaranteed cost control for a generalized system with nonlinear structural perturbations is investigated as a function of time and state and satisfies the Lipschitz condition.The purpose of this paper is to design the robust H∞ Controller and robust H∞ guaranteed cost controller are given.The sufficient conditions for the existence of robust H∞ controller and robust H∞ guaranteed cost controller are given respectively by using the method of linear matrix inequality The expressions of robust H∞controller and robust H∞ guaranteed controller are given respectively. Finally, a simulation example is given to illustrate the application of the proposed method.