Authors:
Nan-Chyuan Tsai
and
Chien-Ting Chen
Affiliation:
National Cheng Kung University, Taiwan
Keyword(s):
Singular perturbation, Two-time-scale systems, Kharitonov Theorem.
Related
Ontology
Subjects/Areas/Topics:
Informatics in Control, Automation and Robotics
;
Real-Time Systems Control
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
For a singularly perturbed magnetic suspension system, two kinds of state feedback controllers are synthesized to account for the inherent instability of the open-loop plant with two-time-scale properties. Kharitonov polynomials, extremal vertex and uncertain Nyquist plot are employed to examine the maximum tolerance against system parameters uncertainties such that the stability of the closed-loop system is still retained. Experimental simulations are reported to illustrate the robustness of designed controllers both in stability and performance. At last, Interlacing Theorem is introduced to analyze the stability of uncertain suspension systems via the characteristic interval polynomials. It is found that identical results are obtained, in comparison with extremal vertex approach.