非线性离散不确定系统的鲁棒H_∞状态反馈控制

The Robust H_∞ State Feedback Control of Nonlinear Discrete -Time System with Uncertainty

研究具有不确定非线性离散系统的鲁棒性能准则问题 .基于二人零和动态对策理论 ,给出并证明了系统鲁棒稳定以及扰动衰减问题解存在的充分条件 ,通过求解离散时间Hamilton jacobi Isaacs方程给出了其鲁棒H∞ 状态反馈控制解 .

This paper investigated the problem of robust performance index about uncertain discrete time nonlinear systems. Based on the concept of two person zero sum differential game, the sufficient conditions for the existence of an H ∞ state feedback controller to guarantee the robust stability and disturbance attenuation level is obtained, and the solution is given in terms of Hamilton Jacobi Isaacs equation.