TY - JOUR
T1 - Robust chaos suppression for the family of nonlinear chaotic systems with noise perturbation
AU - Liao, Teh Lu
AU - Yan, Jun Juh
AU - Hou, Yi You
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/7/1
Y1 - 2008/7/1
N2 - This paper investigates the robust chaos suppression problem for some classical Rössler systems using the sliding mode controller (SMC). Based on the proportional-integral (PI) switching surface, a SMC is derived to not only guarantee asymptotical stability of the equilibrium points of the Rössler systems but also reduce the effect of noise perturbation to an H∞-norm performance. The parameter matrix necessary for constructing both PI switching surface and the SMC can be easily solved by the linear matrix inequality (LMI) optimization technique. Finally, two illustrative examples are provided to demonstrate the efficacy of the proposed control methodology.
AB - This paper investigates the robust chaos suppression problem for some classical Rössler systems using the sliding mode controller (SMC). Based on the proportional-integral (PI) switching surface, a SMC is derived to not only guarantee asymptotical stability of the equilibrium points of the Rössler systems but also reduce the effect of noise perturbation to an H∞-norm performance. The parameter matrix necessary for constructing both PI switching surface and the SMC can be easily solved by the linear matrix inequality (LMI) optimization technique. Finally, two illustrative examples are provided to demonstrate the efficacy of the proposed control methodology.
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U2 - 10.1016/j.na.2007.04.036
DO - 10.1016/j.na.2007.04.036
M3 - Article
AN - SCOPUS:43049174624
SN - 0362-546X
VL - 69
SP - 14
EP - 23
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 1
ER -