摘要
研究一类参数不确定非线性系统的非自适应鲁棒控制及自适应控制问题。通过引入二人零和对策得到非自适应鲁棒控制律，并与参数估计结合得到自适应控制律。证明了参数估计有界和收敛时闭环系统Ｌｙａｐｕｎｏｖ稳定性和渐近稳定性。仿真结果说明了该方法的有效性及具体实现方法。
The solution of control for nonlinear systems with uncertain parameters is studied. Two methods are employed which are robust control and adaptive control. By using a two-person zero-sum differential game method, an adaptive control law is constructed basing on the combination of H ∞ robust control law and parameter estimate. The Lyapunov stability of the closed-loop system is proved when the estimate is bound and the Lyapunov asymptotically stability is proved when the estimate is convergence. The simulation result shows the effectiveness and the realization procedures of the method in this paper.
出处
《控制与决策》
EI
CSCD
北大核心
1998年第2期103-108,共6页
Control and Decision
基金
国家自然科学基金
中国博士后基金
关键词
非线性系统
自适应控制
鲁棒控制
控制理论
nonliner systems with uncertain parameters, adaptive control, two-person zero-sum game, Lyapunov stability
