Title :
On signum feedback stabilization of second and third-order systems
Author :
Michalska, Hannah ; Hayward, Vincent
Author_Institution :
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada
Abstract :
This study endeavors to answer the question whether stabilization is possible if only the signs of the state variables are available as feedback information. This type of feedback is encountered with relay systems and systems using quantized state values in the feedback. We found that while systems in ¿2 can easily be stabilized without knowledge of the magnitude of the state variables, systems in ¿3 cannot. Our results illuminates the difficulties encountered in the control of even the simplest systems when information is partial.
Keywords :
Lyapunov methods; asymptotic stability; feedback; quantized state values; second-order systems; signum feedback stabilization; state variables; third-order systems; Asymptotic stability; Control systems; Electric variables control; Electromechanical systems; Equations; Feedback control; Quantization; Relays; Sampling methods; State feedback;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400485
