A pole placement controller for nonlinear dynamic plants

Zhu, Quanmin; Guo, L Z

Abstract

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.

Citation

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. https://doi.org/10.1177/095965180221600603

• 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• Peer Reviewed: Not Peer Reviewed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
• DOI: https://doi.org/10.1177/095965180221600603
• Keywords: non-linear control systems, control oriented plant models, pole placement control
• Publisher URL: http://dx.doi.org/10.1177/095965180221600603
• 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.