Rejection of Bounded Disturbances via Invariant Ellipsoids Technique

Author

Polyak, Boris T. ; Nazin, Alexander V. ; Topunov, Michael V. ; Nazin, Sergey A.

Author_Institution

Inst. of Control Sci., Russian Acad. of Sci., Moscow

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

1429

Lastpage

1434

Abstract

In this paper an approach based on invariant ellipsoids is applied to the problem of persistent disturbance rejection by means of static state-feedback control. Dynamic system is supposed to be linear time-invariant and affected by unknown-but-bounded exogenous disturbances. Synthesis of an optimal controller that returns a minimum of the size of the corresponding invariant ellipsoid is reduced to one-dimensional convex minimization with LMI constraints. The problem is considered in continuous and discrete time cases

Keywords

linear matrix inequalities; optimal control; state feedback; 1D convex minimization; LMI constraints; bounded disturbances; dynamic system; invariant ellipsoids; linear time-invariant; optimal controller; persistent disturbance rejection; static state-feedback control; unknown-but-bounded exogenous disturbances; Control system synthesis; Control theory; Dynamic programming; Ellipsoids; Feedback control; Optimal control; Size control; Stochastic processes; USA Councils; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377785

Filename

4177254