Title
Design of L-Q regulators for state constrained continuous-time systems
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.
Year
DOI
Venue
1995
10.1109/9.376078
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
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
Journal
40
Issue
ISSN
Citations 
3
0018-9286
9
PageRank 
References 
Authors
3.32
2
2
Name
Order
Citations
PageRank
C. E. T. Dorea12514.67
Basílio E. A. Milani24712.78