Title :
Dynamical stability of the approximate equivalent control in sliding manifold systems
Author :
Johnson, R. ; Nistri, P.
Author_Institution :
Dept. of Syst. & Inf., Florence Univ., Italy
Abstract :
We study the dynamical stability properties of a suitably defined approximation of the equivalent control in sliding manifold systems. For this, we use spectral theory to solve a problem of singularly perturbed dynamical systems, then apply the theory of twist maps. Simple examples of control systems which preserve dynamical stability properties are presented
Keywords :
nonlinear control systems; stability; variable structure systems; approximate equivalent control; dynamical stability; singularly perturbed dynamical systems; sliding manifold systems; spectral theory; twist maps; Control system synthesis; Control systems; Feedback control; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Process control; Robust control; Sliding mode control; Stability;
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.1997.649656
