A Study on the Internal Relationship among Smith Predictor Dahlin Controller & PID
It is now common knowledge that the PID (Proportional-Integral-Derivative) is not suitable for controlling long time delay processes and the conventional Smith predictor is sensitive to model mismatch and has poor disturbance rejection capability. By illustrating the design procedure of the H∞ Smith predictor and H2 Smith predictor first proposed by Zhang 9, who designed an analytical Smith predictor in terms of H∞ or H2 theory, the internal relationship among the Smith predictor, Dahlin Controller and practical PID is established. The range of the filtering time constantλ is derived theoretically and a set of analytical tuning formulae is proposed. This paper also takes a different viewpoint on the applicability and robustness of PID and the Smith predictor. An illustrative simulation example gives a persuasive view to the conclusions drawn in this paper.
PID H∞ Smith predictor H2 Smith predictor Dahlin controller equivalence
Wei Tang Mengxiao Wang Yuyan Chao Lifeng He Hidenori Itoh
Microcomputer Application and Development Institute Shaanxi University of Science and Technology Xia Nagoya Sangyo University, Aichi, 488-8711, Japan Aichi Prefectural University, Aichi, 480-1198, Japan Nagoya Institute of Technology, Nagoya, 466-8555, Japan
国际会议
2007 IEEE International Conference on Automation and Lofistics
山东济南
英文
2007-08-18（万方平台首次上网日期，不代表论文的发表时间）