摘要
研究一类来自控制系统稳定化中的非光滑优化问题.考虑Lyapunov函数是非光滑的,特别是有限个光滑函数的极大值函数.建立了相应的非光滑优化模型,进一步导出了这类非光滑优化的KKT系统,然后基于非线性互补函数将此KKT系统转化成一个非光滑方程组,最后分别用广义牛顿法和光滑化牛顿法求解此非光滑方程组,使得此类稳定化设计可以具体实现.
A nonsmooth optimization problem, which arises from the stabilization for nonlinear control systems, is studied. Nonsmooth Lyapunov functions are obtained by maximizing finitely many smooth functions. First, a nonsmooth optimization model and its Karush-Kuhn-Tucker (KKT) system are proposed. Based on the nonlinear complementarity problem function, the KKT system is transformed into a system of nonsmooth equations. Finally, the generalized Newton method and the smoothing Newton method are applied to solving this system of nonsmooth equations.
出处
《控制与决策》
EI
CSCD
北大核心
2006年第1期118-120,共3页
Control and Decision
基金
教育部归国留学人员基金项目
上海市教委重点项目(04EA01)
上海市重点学科建设项目(T0502)