Generalized bang-bang control for feedforward constrained regulation

被引：17
|
作者：
Consolini, Luca [1 ]
Piazzi, Aurelio [1 ]
机构：
[1] Univ Parma, Dipartimento Ingn Informaz, I-43124 Parma, Italy
来源：
AUTOMATICA | 2009年 / 45卷 / 10期
关键词：
Feedforward control; Generalized bang-bang control; Set-point constrained regulation; Input-output constraints; Minimum-time control; Linear programming; Linear systems;
D O I：
10.1016/j.automatica.2009.06.030
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the behavioral framework for continuous-time linear scalar systems, simple sufficient conditions for the solution of the minimum-time rest-to-rest feedforward constrained control problem are provided. The investigation of the time-optimal input-output pair reveals that the input or the output saturates on the assigned constraints at all times except for a set of zero measure. The resulting optimal input is composed of sequences of bang-bang functions and linear combinations of the modes associated to the zero dynamics. This signal behavior constitutes a generalized bang-bang control that can be fruitfully exploited for feedforward constrained regulation. Using discretization, an arbitrarily good approximation of the optimal generalized bang-bang control is found by solving a sequence of linear programming problems. Numerical examples are included. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2234 / 2243
页数：10
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