Regular Papers

International Journal of Control, Automation and Systems 2017; 15(2): 656-667

Published online March 8, 2017

https://doi.org/10.1007/s12555-015-0466-4

© The International Journal of Control, Automation, and Systems

A Robust Adaptive Controller for Hammerstein Nonlinear Systems

Ping Yuan, Bi Zhang*, and Zhi-Zhong Mao

Northeastern University

Abstract

Hammerstein nonlinear systems have appeared useful in modeling nonlinear processes encountered in engineering practice. Control algorithms may lead to unsatisfactory performance if the parametric model does not agree with the plant. To this end, this paper proposes a new robust adaptive control approach for discretetime Hammerstein nonlinear systems which are more close to some industrial plants. The adaptive control law and recursive parameter estimation are updated by introducing the estimate of the model error as a feedback. Theoretical results show that parameter estimation convergence and closed-loop system stability can be guaranteed under mild conditions. Simulation examples including a continuous stirred tank reactor (CSTR) system are given to show the effectiveness of the obtained results."

Keywords Adaptive control, convergence, CSTR system, Hammerstein nonlinear systems, stability.

Article

Regular Papers

International Journal of Control, Automation and Systems 2017; 15(2): 656-667

Published online April 1, 2017 https://doi.org/10.1007/s12555-015-0466-4

Copyright © The International Journal of Control, Automation, and Systems.

A Robust Adaptive Controller for Hammerstein Nonlinear Systems

Ping Yuan, Bi Zhang*, and Zhi-Zhong Mao

Northeastern University

Abstract

Hammerstein nonlinear systems have appeared useful in modeling nonlinear processes encountered in engineering practice. Control algorithms may lead to unsatisfactory performance if the parametric model does not agree with the plant. To this end, this paper proposes a new robust adaptive control approach for discretetime Hammerstein nonlinear systems which are more close to some industrial plants. The adaptive control law and recursive parameter estimation are updated by introducing the estimate of the model error as a feedback. Theoretical results show that parameter estimation convergence and closed-loop system stability can be guaranteed under mild conditions. Simulation examples including a continuous stirred tank reactor (CSTR) system are given to show the effectiveness of the obtained results."

Keywords: Adaptive control, convergence, CSTR system, Hammerstein nonlinear systems, stability.

IJCAS
January 2025

Vol. 23, No. 1, pp. 1~88

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