Title :
A general class of sliding surface for sliding mode control
Author :
Chung, Ching-yei Steven ; Lin, Chun-Liang
Author_Institution :
Dept. of Autom. Control Eng., Feng-Chia Univ., Taichung, Taiwan
Abstract :
In the conventional sliding mode control, the relative degree of the chosen sliding surface is usually one. This paper addresses a general class of sliding surface whose relative degree is no longer restricted to one. We show that when the relative degree is more than two, it is inevitable that there will exist a limit cycle for the nonlinear sign function. For the case of relative degree two, the system possesses poor phase margin. However, these disadvantages can be overcome by soothing out the control nonlinearity in a suitable boundary layer with a saturation function that ensures globally exponential stability of the overall system
Keywords :
control nonlinearities; dynamics; limit cycles; stability; state-space methods; transfer function matrices; variable structure systems; boundary layer; control nonlinearity; dynamics; exponential stability; limit cycle; phase margin; saturation function; sliding mode control; sliding surface; state space model; transfer function matrix; Control nonlinearities; Control system synthesis; Control systems; Drives; Quantum cascade lasers; Sliding mode control; Stability; Transfer functions; Uncertainty; Vectors;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577595