非线性不确定系统的鲁棒镇定

本文将带有模有界条件的非线性不确定系统化为一个确定性的非线性系统H∞问题来考虑，利用非线性系统H∞控制理论的现有结果讨论其普林镇定性。比较了非线性不确定系统在匹配条件下与在模有界条件下各律可镇定的优劣。结果表明带模有界条件的非线性不确定系统可以使整个闭环系统鲁林斯近镇定到平衡点，两种结构条件下的鲁棒分析和设计各有其特点．带模有界条件的非线性不确定系统鲁棒镇定更易于实现。

The Robust Stabilization of Nonlinear Uncertain Systems

In this paper, the nonlinear uncertain systems, with norm-bounded uncertaintide, whichis changed to a scale nonlinear Hco control problem is considered. Its robust stabilization isdiscussed by using the recent results of nonlinear H∞ control theory. The advantage and dis-advantage of the robust stabilizationble for the nonlinear uncertain systems under both thematching and the nonm - bounded conditions are compared. The results in this note showthat the nonlinear uncertain .systems with the norm - bounded condition can stabilized ro-bustly the closed-loop systems to approach to equilibrium peint. The robust analysis and de-sign of the nonlinear system under both structured conditions have themselves characteris-tics .the robust stabiliztion of nonlinear uncertain systems wiih norm-bounded condition osmore easily to realize in practice.