Title :
Lyapunov function normalization for controlled switching of hybrid systems
Author :
Bishop, Bradley E.
Author_Institution :
US Naval Acad., Annapolis, MD, USA
Abstract :
We consider tools for control of switched nonlinear systems using Lyapunov function-based techniques. We focus our efforts on those switched nonlinear systems that admit a single equilibrium point that is common to all subsystems, and have stability properties encoded in Lyapunov functions for each subsystem. We develop techniques by which independent Lyapunov functions can be normalized so that switching surfaces are implicitly generated and switches guarantee some level of system performance, including stability and state convergence
Keywords :
Lyapunov methods; continuous time systems; discrete systems; nonlinear control systems; stability; time-varying systems; Lyapunov function normalization; controlled switching; hybrid systems; single equilibrium point; stability properties; state convergence; switched nonlinear systems; Control systems; Convergence; Hybrid power systems; Lyapunov method; Nonlinear control systems; Stability; Switches; System performance; Systems engineering and theory; Weapons;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786490