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A pole placement controller for nonlinear dynamic plants

Zhu, Quanmin; Guo, L Z


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Quan Zhu
Professor in Control Systems

L Z Guo


In this study a control-oriented model is proposed to represent a wide range of non-linear discrete-time dynamic plants. As a testimony to the efficiency of the model structure for control system design, a pole placement controller is designed for non-linear discrete-time plants. Mathematically the solution of the controller output is converted into resolving a polynomial equation in the current control term u(t), which significantly reduces the difficulties encountered in non-linear control system synthesis and computational complexities. The integrated procedure provides a straightforward methodology to use in linear control system design techniques when designing non-linear control systems. For a demonstration of the effectiveness of the proposed methodology used to deal with practical problems, pole placement controllers are designed for three non-linear plants, including the Hammerstein model, a laboratory-scale liquid level system and a continuous stirred tank reactor. The simulation results are presented with graphical illustrations.


Zhu, Q., & Guo, L. Z. (2002). A pole placement controller for nonlinear dynamic plants. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 216(6), 467-476.

Journal Article Type Article
Publication Date Sep 1, 2002
Journal Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
Print ISSN 0959-6518
Publisher SAGE Publications
Peer Reviewed Not Peer Reviewed
Volume 216
Issue 6
Pages 467-476
Keywords non-linear control systems, control oriented plant models, pole placement control
Public URL
Publisher URL
Additional Information Additional Information : This is the first time that the control oriented U-model has been proposed to facilitate nonlinear dynamical control system design. Several simulated applications are tested to demonstrate the effectiveness of the design procedure. This provides a significant potential for simplifying nonlinear control system design.