Optimal Control and Scheduling of Switched Systems

被引：68
|
作者：
Goerges, Daniel [1 ]
Izak, Michal [1 ]
Liu, Steven [1 ]
机构：
[1] Univ Kaiserslautern, Dept Elect & Comp Engn, Inst Control Syst, D-67663 Kaiserslautern, Germany
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 01期
关键词：
Piecewise quadratic (PWQ) Lyapunov functions; reachability analysis; receding-horizon control (RHC); relaxed dynamic programming; stability analysis; switched systems; MODEL-PREDICTIVE CONTROL; PIECEWISE AFFINE; STABILITY;
D O I：
10.1109/TAC.2010.2085573
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note addresses optimal control and scheduling (controlled switching) of discrete-time switched linear systems. A receding-horizon control and scheduling (RHCS) problem is introduced and solved by dynamic programming, leading to a combinatorial optimization problem with exponential complexity. By relaxed dynamic programming, complexity is reduced while relaxing optimality within prespecified bounds. The resulting RHCS strategy is expressed explicitly as a piecewise linear state feedback control law defined over regions implied by quadratic forms. Closed-loop stability is not guaranteed inherently for the RHCS strategy. Therefore, a posteriori stability criteria based on piecewise quadratic Lyapunov functions are proposed. Finally, a region-reachability criterion is presented.
引用
收藏
页码：135 / 140
页数：6
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