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Output feedback form of Chua’s circuit and modular adaptive control of chaos using single measurement

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  • Maganti, Ganesh B.
  • Singh, Sahjendra N.

Abstract

The paper treats the question of the representation of the Chua’s circuit in an output feedback form and then derives an adaptive control system for the control of chaos by a single output (node voltage) feedback. The design is performed under the assumption that all the circuit parameters are unknown, but only the lower bound on the coefficient of virtual control input and its sign are given. Based on the output feedback form of the Chua’s circuit, certain filters are designed for the estimation of the state variables. The derived controller has a modular structure consisting of an input-to-state stabilizing (ISS) control module and a passive parameter identifier. In the closed-loop system, output trajectory control is accomplished and the state vector converges to the equilibrium point. Simulation results are presented which show that the designed control system regulates the node voltage to the reference point and suppresses the chaotic motion using a single node voltage feedback.

Suggested Citation

  • Maganti, Ganesh B. & Singh, Sahjendra N., 2006. "Output feedback form of Chua’s circuit and modular adaptive control of chaos using single measurement," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 724-738.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:3:p:724-738
    DOI: 10.1016/j.chaos.2005.08.139
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    References listed on IDEAS

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    1. Chang, Wei-Der & Yan, Jun-Juh, 2005. "Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 167-175.
    2. Fotsin, Hilaire & Bowong, Samuel & Daafouz, Jamal, 2005. "Adaptive synchronization of two chaotic systems consisting of modified Van der Pol–Duffing and Chua oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 215-229.
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    Cited by:

    1. Lee, Keum W. & Singh, Sahjendra N., 2007. "Robust control of chaos in Chua’s circuit based on internal model principle," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1095-1107.
    2. Wang, Jiang & Si, Wenjie & Li, Huiyan, 2009. "Robust ISS-satisficing variable universe indirect fuzzy control for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 28-38.

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