Linear dynamically varying linear quadratic control of systems with complicated dynamics

Author

Bohacek, S. ; Jonckheere, E.

Author_Institution

Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA

Volume

2

fYear

2000

fDate

2000

Firstpage

205

Abstract

Linear quadratic controllers for dynamical systems with complicated dynamics are presented. Systems with complicated dynamics are those that run over compact sets and have such features as nontrivial recurrence, periodic and aperiodic orbits. The controllers are based on modeling the nonlinear dynamical systems as linear dynamically varying systems. Necessary and sufficient conditions for the existence of such controllers are linked to the existence of a bounded solution to a functional algebraic Riccati equation. Several methods to solve the functional Riccati equation are presented. Finally, an example of controlling the Henon map is presented

Keywords

Henon mapping; Riccati equations; linear quadratic control; nonlinear dynamical systems; Henon map; aperiodic orbits; controllers; functional Riccati equation; linear dynamically varying systems; linear quadratic control; nonlinear dynamical systems; periodic orbits; recurrence; Control systems; Iron; Linear approximation; Mathematics; Nonlinear dynamical systems; Nonlinear equations; Orbits; Riccati equations; Sufficient conditions; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-6434-1

Type

conf

DOI

10.1109/COC.2000.873953

Filename

873953