非线性不确定系统与Lyapunov可镇定

Nonlinear Uncertain Systems and Lyapunov Stabilizability

考虑一类带模有界条件的非线性不确定系统的鲁棒镇定 ,在Lyapunov型可镇定的鲁棒意义和不确定项满足模有界结构的条件下 ,对控制矩阵的不确定性分两种情况分别从H∞ 控制和微分几何角度 ,建立了系统鲁棒可镇定性与Hamilton_Jacobi微分不等式正解存在性之间的联系 .给出了系统鲁棒镇定的充分条件 .

The robust stabilization is discussed for a class of nonlinear uncertain systems with norm_bounded condition. In the sense of Lyapunov_type robust stabilization and the assumption of norm_bounded uncertainties, two cases of input matrix uncertainties are considered, the relationships between the robust stabilizability and the existence of positive definite solution for Hamilton_Jacobi differential inequality are respectively established by means of H ∞ control and differential geometrical tool, and the sufficient conditions of robust stabilization are also obtained.