Title :
A new extended minimal control synthesis algorithm with an application to the control of chaotic systems
Author :
di Bernardo, M. ; Stoten, D.P.
Author_Institution :
Dept. of Mech. Eng., Bristol Univ., UK
Abstract :
This paper investigates an extension to the minimal control synthesis (MCS) algorithm (Stoten and Benchoubane, 1990), for the control of systems with rapidly varying disturbances (plant nonlinearities, parameter variations and external inputs), namely a switching action whose amplitude is adaptively estimated is added to the original MCS control law. Proof of global asymptotic stability of the error dynamics is given and the algorithm is applied to the problem of controlling a chaotic system. The results are contrasted with those obtained by applying a standard MCS law
Keywords :
adaptive control; asymptotic stability; chaos; control nonlinearities; control system synthesis; nonlinear systems; state feedback; adaptive control; asymptotic stability; chaotic systems; error dynamics; minimal control synthesis; nonlinear systems; nonlinearities; rapidly varying disturbances; state feedback; switching action; Adaptive control; Amplitude estimation; Chaos; Control nonlinearities; Control system synthesis; Control systems; Electromagnetic compatibility; Mechanical engineering; Nonlinear control systems; Nonlinear dynamical systems;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657868
