Optimal tracking performance for unstable processes with NMP zeroes

  • Authors:
  • Jianguo Wang;Shiwei Ma;Xiaowei Gou;Ling Wang;Li Jia

  • Affiliations:
  • Shanghai Key Lab of Power Station Automation Technology, Shanghai, China and School of Mechatronical Engineering and Automation, Shanghai University, Shanghai, China;Shanghai Key Lab of Power Station Automation Technology, Shanghai, China and School of Mechatronical Engineering and Automation, Shanghai University, Shanghai, China;Shanghai Key Lab of Power Station Automation Technology, Shanghai, China and School of Mechatronical Engineering and Automation, Shanghai University, Shanghai, China;Shanghai Key Lab of Power Station Automation Technology, Shanghai, China and School of Mechatronical Engineering and Automation, Shanghai University, Shanghai, China;Shanghai Key Lab of Power Station Automation Technology, Shanghai, China and School of Mechatronical Engineering and Automation, Shanghai University, Shanghai, China

  • Venue:
  • LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part II
  • Year:
  • 2010

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Abstract

This paper has investigated optimal tracking performance for unstable processes with non-minimum phase (NMP) under control energy constraint. Firstly, based on prime factorization of unstable process, a performance index containing tracking error and plant input energy is defined, which is represented by sensitivity function and control sensitivity function. Then, utilizing spectral factorization to minimize the performance criterion, we derive an optimal controller design method for unstable processes and furthermore study the optimal tracking performance under control energy constraint. The validity of the obtained result can be illustrated by the simulation research.