Title :
Feedback analysis of nonlinear systems
Author :
Fradkov, Alexander
Author_Institution :
Inst. for Problems of Mech. Eng., Acad. of Sci., St. Petersburg, Russia
Abstract :
An approach to analysis of nonlinear systems is proposed based on excitability index-the fully nonlinear analogue of the magnitude of the frequency response of the system. It can be used for the stability analysis of fully nonlinear cascade systems similar to the absolute stability analysis of Lur´e systems. The excitability index evaluates the ability of the system to exhibit resonance-like behavior under feedback action: feedback resonance. Speed-Gradient algorithms for creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds on energy and excitability change by feedback are established
Keywords :
absolute stability; cascade control; feedback; frequency response; nonlinear systems; resonance; Lur´e system; dissipative systems; excitability index; feedback resonance; frequency response; nonlinear multi-DOF oscillators; nonlinear systems; resonance; stability; Control theory; Ear; Feedback; Frequency response; Mechanical engineering; Nonlinear systems; Resonance; Robust stability; Stability analysis; Stability criteria;
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.2000.874321
