约束Sontag型控制器的滚动优化设计  

Receding optimal design of constrained Sontag-type controllers

作　　者：杨国诗[1,2] 何德峰[3] 季海波[2] 

机构地区：[1]淮南师范学院计算机与信息工程系,安徽淮南232038 [2]中国科学技术大学自动化系,安徽合肥230027 [3]浙江工业大学信息工程学院,浙江杭州310023

出　　处：《中国科学技术大学学报》2010年第2期210-215,共6页JUSTC

基　　金：国家自然科学基金(60674029);安徽高等学校自然科学基金(KJ2009B029)资助

摘　　要：考虑状态和输入受约束的非线性仿射系统,提出了Sontag型控制器的优化设计.首先把标准Sontag公式转变为一时变控制,其中时变参数近似闭环系统的衰减率;其次,结合滚动时域控制原理,设计了两种满足系统约束的最优Sontag型控制算法,并证明约束闭环系统的区间渐近稳定性.最后,与标准Sontag型控制的对比仿真验证了本文控制算法的有效性.The optimal design of Sontag type controllers was proposed for nonlinear eontrol-affine systems subject to constraints of the state and input. Firstly, the standard Sontag formula was modified as a time- varying controller where the time-varying parameter was close to the decay rate of the closed-loop system. Secondly, two algorithms of optimal Sontag-type controller were designed by combining the principle of receding horizon control, which were guaranteed to satisfy the system constraints. The regional asymptotic stability of the closed-loop system was then achieved. Finally, the effectiveness of this control scheme was illustrated by the comparison of the controller obtained here and the standard Sontag-type controller in simulation.

关 键 词：约束控制 Sontag型控制 滚动时域控制 弱控制Lyapunov函数 区域渐近稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]