一类具有加法不确定性非线性系统的鲁棒性分析

来源期刊：中南大学学报(自然科学版)2000年第3期

论文作者：张凌波 吴敏 桂卫华

文章页码：272 - 274

关键词：非线性系统;加法不确定性;H_∞控制; Hamilton-Jacobi不等式

Key words：nonlinear systems; additive uncertainty;H_∞control; Hamilton-Jacobi inequality

摘    要：针对自由系统、外部干扰输入矩阵和控制输入矩阵都具有加法不确定性的一类仿射非线性系统,讨论了非线性系统的鲁棒H_∞控制问题,将这类非线性系统具有鲁棒性能的充分条件归结为Hamilton-Jacobi不等式的可解性问题,并获得了非线性鲁棒控制器的一种形式.

Abstract: The authors dealwith robust H_∞ control for a class of nonlinear systemwith additive uncertainties in the free system, external disturbance inputmatrix and control inputmatrix. Sufficient conditions for solvingthe robust H_∞ control problem are reduced to the solvability problem of the Hamilton-Jacobi inequalities, and a nonlinear robust controller is designed to guarantee the nonlinear control system to satisfy the robust performance.