Generalized bang-bang control for feed-forward constrained regulation

被引：12

作者：

Consolini, Luca ^{[1
]}

Piazzi, Aurelio ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Ingn Informaz, I-43100 Parma, Italy

来源：

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2006年

关键词：

minimum-time; linear systems; generalized bang-bang control; input and output constraints;

D O I：

10.1109/CDC.2006.377142

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 a behavioral framework, simple sufficient conditions for 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.

引用

页码：893 / 898

页数：6