Design of L-Q regulators for state constrained continuous-time systems

Author

Dórea, Carlos E T ; Milani, Basílio E A

Author_Institution

Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France

Volume

40

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

544

Lastpage

548

Abstract

A new methodology to the design of LQ regulators for continuous-time systems subject to linear state constraints is proposed, consisting of two parts. In the first one, the positive invariance of the polyhedron defined by the constraints in the state space is imposed, guaranteeing thereby that the constraints will not be violated. Furthermore, the admissible constrained controllers are parameterized via the determination of the elements which are fixed in the state feedback matrix. This parameterization enables in a second part the L-Q regulator to be obtained from the solution of a parameter optimization problem subject to linear constraints, for which it is proposed a specialized feasible directions method

Keywords

control system synthesis; linear quadratic control; state-space methods; LQ regulator design; admissible constrained controllers; linear state constraints; positive invariance; state feedback matrix; state space; state-constrained continuous-time systems; Constraint optimization; Constraint theory; Control systems; Design methodology; Open loop systems; Optimal control; Regulators; State feedback; State-space methods; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.376078

Filename

376078