具有非线性摄动的不确定系统的保性能控制

Guaranteed Cost Control of Uncertain Systems with Nonlinear Perturbation

利用线性矩阵不等式方法,讨论了具有非线性摄动的不确定系统的保性能控制问题.给出了问题可解的一个充分条件和保性能控制器的设计,以及相应的保性能指标.最后,举例说明所提出方法的正确性.

The problem of guaranteed cost control is studied for a class of nonlinear perturbation systems with norm - bounded time - varying parametric uncertainty and a given cost function. A sufficient condition for the existence of guaranteed cost controller is presented in terms of linear matrix inequalities （ LMIS）, the design of the robust guaranteed cost controller and the corresponding guaranteed cost of the systems are obtained. Finally, a numerical example is given to illustrate the design method.