一类具有时滞的两个状态和输出的非线性不确定奇异系统的鲁棒H∞控制
Robust H∞ control for a class of nonlinear uncertain singular systems with time delays both in state and output
关键词:控制器;时滞;非线性;奇异系统
摘 要:This paper discusses the problem of robust H∞ control for a class of nonlinear uncertain singular systems with time delays.Considering the nonlinear disturbance link to uncertain singular systems with time delays effects,the design idea of robust H∞ controller is presented.Using Lyapunov stability theory and linear matrix inequality (LMI) method,a robust H∞ controller design example of such nonlinear uncertain singular systems with time delays both in state and output is given.Under nonlinear uncertain functions satisfying Lipschitz condition,a sufficient condition of such nonlinear uncertain singular systems which are asymptotically stable and satisfy the robust H∞ performance is obtained.Finally,a numerical example is given to show the applicability of the proposed method.