Controller Design by using Sliding Mode and Passive Control Methods for Continuous Time Non-Linear Shimizu-Morioka Chaotic System

Research Area: Volume 4,Issue 6, Nov. 2015 Year: 2015
Type of Publication: Article Keywords: Chaos, Equilibrium Point, Passive Control, Shimizu-Morioka, Sliding Mode Control SMC
Authors:
  • Ercan KÖSE
Journal: IJEIR Volume: 4
Number: 6 Pages: 895-902
Month: November
Abstract:
In this study, the controllers are improved by way of the sliding mode control and passive control methods for continuous time nonlinear Shimizu-Morioka chaotic system. The control structure of Shimizu-Morioka chaotic system for both methods were calculated as analytically, and then applied a numerical example. Shimizu-Morioka chaotic system like other chaotic systems show nonlinear behavior and this causes the systems to be unstable. The Shimizu-Morioka non-linear chaotic system for the analysis of stability was linearized continuous time via Taylor Series. In addition, the state variables were analyzed whether they reach the equilibrium point or not, while controllers at different times were activated. Both the sliding mode and passive methods reached to an equilibrium point, but the results of the simulations sliding mode control were better performance than passive control technique based on the performance criteria.

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