Title :
Piecewise linear quadratic optimal control
Author :
Rantzer, Anders ; Johansson, Mikael
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Abstract :
A technique for computation of piecewise quadratic Lyapunov functions is further developed for performance analysis and controller synthesis for nonlinear systems. In this way, degree of observability is estimated, L2 induced gain is computed and optimal control problems are solved. The computations are based on convex optimization in terms of linear matrix inequalities
Keywords :
Lyapunov methods; control system analysis; control system synthesis; linear quadratic control; matrix algebra; nonlinear control systems; observability; observers; optimisation; L2 induced gain; controller synthesis; convex optimization; degree of observability; linear matrix inequalities; optimal control problems; performance analysis; piecewise linear quadratic optimal control; Control systems; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Performance analysis; Piecewise linear techniques; Riccati equations; Stability;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.610884
