【摘要】 针对一类不确定离散系统,对二次稳定保成本控制问题进行了研究.假设存在有限个备选的控制增益已知的控制器,利用公共Lyapunov函数技术,得到了在任意切换下混杂状态反馈二次稳定保成本控制的充分条件.基于单Lyapunov函数的方法,通过在这有限个控制器之间切换给出了混杂状态反馈二次稳定保成本控制的充分条件及切换律的设计方案.最后用仿真验证了这一方法的有效性.更多还原

【Abstract】 Discusses hybrid state feedback guaranteed cost control with quadratic stability for a class of uncertain discrete systems of which the state matrix contains time-varying uncertainties.Assuming that there is a limited number of candidate controllers with known gain matrices and using the common Lyapunov function,a sufficient condition is derived to hybrid guaranteed cost control with quadratic stability under arbitrary switching laws.Then,based on the single Lyapunov function method,relevant sufficient conditions and conceptual design of switching rule are both given.A simulation demonstrated the effectiveness of the proposed method.更多还原