不确定非线性系统的鲁棒H_∞控制分析与综合

Analysis and Synthesis for Robust H_∞ Control of Uncertain Nonlinear Systems

讨论一类仿射非线性系统的鲁棒H∞ 控制问题 .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系统 ,将鲁棒性能的分析和综合归结为求解一组Hamilton_Jacobi不等式 ,给出了确保非线性控制系统满足鲁棒干扰抑制性能的充分条件 ,获得了非线性鲁棒控制器的一种形式 .

The paper deals with the robust H ∞ control problem of a class of affine nonlinear systems. For the systems where there exist additive uncertainties in the free system, the external disturbance input matrix and the control input matrix, analysis and synthesis of robust performance are reduced to solving a set of Hamilton Jacobi inequalities. Sufficient conditions for guaranteeing the nonlinear control system to meet the robust disturbance attenuation performance are given, and the formulation of the nonlinear robust controller is obtained in this paper. A simulation example shows the correctness of the conclusions proposed.