Title :
Observer-based hybrid feedback: a local separation principle
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of California, Santa Barbara, CA, USA
fDate :
June 30 2010-July 2 2010
Abstract :
Asymptotic stability of a closed-loop feedback system is analyzed, where the plant is a continuous-time system and the feedback controller is a hybrid dynamical system. The feedback controller is derived in two steps: first a hybrid, full-state feedback controller is constructed; then the feedback is implemented by replacing unmeasured states with estimates that come from an observer. The observer is allowed to be a hybrid dynamical system. A local separation principle is obtained for the case where there are no purely discrete-time solutions for the observer nor for the ideal state feedback. In this case, if the hybrid state feedback is asymptotically stabilizing, and the hybrid observer produces accurate state estimates asymptotically, then the output-feedback hybrid controller achieves local asymptotic stability.
Keywords :
asymptotic stability; closed loop systems; continuous time systems; nonlinear dynamical systems; observers; state feedback; closed-loop feedback system; continuous-time system; full-state feedback controller; hybrid dynamical system; hybrid state feedback; local asymptotic stability; local separation principle; observer-based hybrid feedback; Adaptive control; Asymptotic stability; Control systems; Nonlinear control systems; Nonlinear systems; Observers; Output feedback; State estimation; State feedback; State-space methods;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530471
