一类受限线性系统的最优控制  

Optimal Control for a Class of Linear System with Constraints

作　　者：屈百达[1] 郭宏民[1] 徐保国[1] 

机构地区：[1]江南大学通信与控制工程学院,江苏无锡214122

出　　处：《计算机仿真》2009年第3期187-190,共4页Computer Simulation

基　　金："863"基金(2006AA10Z335);"863"重大基金(2006AA10A301)资助

摘　　要：研究了一类受限线性系统的最优控制问题。对于输入和状态联合受限线性系统的最优控制,引入多参数二次规划方法进行求解;首先将控制问题转化为标准的多参数二次规划问题,然后应用多参数二次规划方法求得系统的可行状态空间及其子空间,并对每个子空间的求出其时变最优控制率,最后归纳上述过程得到一般性结论。方法不仅能使系统约束的处理更加系统化和透明化,还可以获得系统的显式分段仿射控制率。仿真结果表明了该方法的有效性。In this paper, optimal control for a class of linear system with constraints is researched. Aiming at the optimal control for linear system with input and state co -constraints, Multi -parametric Quadratic Programming（ Mp -QP） is introduced. Firstly, the optimal control problem is transformed into Mp -QP problem, then, the system state space is partitioned into several sub - space, and corresponding to everyone, the optimal control law is computed by means of Mp - QP. Finally, general result is generalized. The method can not only deal with the constraints systematically and transparently, but also obtain the explicit piecewise affine control law. The simulation shows its validation.

关 键 词：最优控制 多参数二次规划 分段仿射控制率 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]