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Adaptive Control of Nonlinear Systems Using Multiple Models with Second-Level Adaptation

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Systems Thinking Approach for Social Problems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 327))

Abstract

Adaptive control of a class of single-input single-output (SISO) nonlinear systems with large parametric uncertainties has been investigated in this paper. Control of nonlinear systems using adaptive schemes suffers from the drawback of poor transient responses in parametrically uncertain environment. The use of multiple models presents a solution to this problem. In this paper, state transformation and feedback linearization have been used to algebraically transform nonlinear system dynamics to linear ones. The unknown parameter vector for the plant is assumed to be bounded within a set of compact parameter space. Indirect adaptive control using multiple identification models has been used to improve transient response and convergence time. The observer-based identifier model is used for all these models. Lyapunov stability analysis is used to obtain tuning laws for estimator parameters. Further, second-level adaptation using combination of all the adaptive estimator models is used. Simulations have demonstrated that multiple models with second-level adaptation yield better transient performance with faster convergence.

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Author information

Authors and Affiliations

  1. Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati, Guwahati, 781039, India

    Vinay Kumar Pandey, Indrani Kar & Chitralekha Mahanta

Authors
  1. Vinay Kumar Pandey
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  2. Indrani Kar
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  3. Chitralekha Mahanta
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Corresponding author

Correspondence to Vinay Kumar Pandey .

Editor information

Editors and Affiliations

  1. Systems Science, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan, India

    Vivek Vijay

  2. Information and Communication Tech., Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan, India

    Sandeep Kumar Yadav

  3. Systems Science, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan, India

    Bibhas Adhikari

  4. Systems Science, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan, India

    Harinipriya Seshadri

  5. Systems Science, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan, India

    Deepak Kumar Fulwani

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Pandey, V.K., Kar, I., Mahanta, C. (2015). Adaptive Control of Nonlinear Systems Using Multiple Models with Second-Level Adaptation. In: Vijay, V., Yadav, S., Adhikari, B., Seshadri, H., Fulwani, D. (eds) Systems Thinking Approach for Social Problems. Lecture Notes in Electrical Engineering, vol 327. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2141-8_21

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  • DOI: https://doi.org/10.1007/978-81-322-2141-8_21

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2140-1

  • Online ISBN: 978-81-322-2141-8

  • eBook Packages: EngineeringEngineering (R0)

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