Synthesis of asolutely sabilizing PID controllers and its application to a ball and wheel system

Ming-Tzu Ho, Jun Ming Lu

研究成果: Conference contribution

1 引文 斯高帕斯(Scopus)

摘要

In this paper, we consider the problem of synthesizing proportional- integral-derivative (PID) controllers that absolutely stabilize a given Lur'e system. Based on the circle criterion and the stability characterization of the strictly positive real property, sufficient conditions for the existence of stabilizing PID controllers are given in terms of simultaneous stabilization of complex polynomials. The results from the earlier work are then used to solve the resulting complex polynomial stabilization problem. For a fixed proportional gain, and by sweeping over a variable, the set of the stabilizing integral and derivative gain values can be determined constructively using linear-programming techniques. The proposed synthesis method is used to design a stabilizing PID controller for the ball and wheel system and the experimental results are also presented.

原文English
主出版物標題Proceedings of the 2004 IEEE International Conference on Control Applications
頁面825-830
頁數6
1
出版狀態Published - 2004
事件2004 IEEE International Conference on Control Applications - Taipei, Taiwan
持續時間: 2004 九月 22004 九月 4

Other

Other2004 IEEE International Conference on Control Applications
國家/地區Taiwan
城市Taipei
期間04-09-0204-09-04

All Science Journal Classification (ASJC) codes

  • 工程 (全部)

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