Title :
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
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;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873953
