带模有界时变不确定的非线性系统的输出反馈鲁棒H~∞控制

Robust H￣∞ Control for Uncertain Nonlinear Systems with Norm-Bounded Time-Varying Uncertainties viea Output Feedback

考虑一类带模有界时变不确定非线性不确定系统的鲁棒Ｈ∞控制问题，讨论其带内部稳定的状态反馈及输出反馈鲁捧Ｈ∞控制问题可解的充分条件。结果表明，带模有界结构的时变不确定非线性系统，其鲁棒Ｈ∞控制问题可以转化为Ｈａｍｉｌｔｏｎ－Ｊａｃｏｂｉ－Ｉｓａａｃｓ不等式方程的可解性来讨论。

In this paper, the robust H∞ control problem for a class of.uncertain nonlinear systems with time-varying uncertainties are considered. The sufficient conditions of the robust H∞ control problem with internal stability to be solvable via the state feedback and the output feedback are discussed. The results in the paper show that, for nonlinear systems with norm-bounded structure uncertainties, the robust H∞ control problem can be converted into the problem of the solvability of an Hamilton-Jacobi-Isaacs (inequality) equations.