Brief Robust decentralized adaptive stabilization of interconnected systems with guaranteed transient performance

  • Authors:

  • Ying Zhang;Changyun Wen;Yeng Chai Soh

  • Affiliations:

  • Automation Technology Division, Gintic Institute of Manufacturing Technology, 71 Nanyang Drive, Singapore 638075, Singapore;School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore 639798, Singapore;School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore 639798, Singapore

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2000

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Abstract

This paper presents a scheme for designing a totally decentralized adaptive stabilizers for a class of large-scale systems with subsystems having arbitrary relative degrees. In the control design, both strong static interactions and weak dynamic interactions are considered. It is shown that with the proposed controller global stability of the overall system and perfect regulation can be guaranteed in the presence of these interactions. The transient performance of the adaptive system with the proposed decentralized controller is also evaluated by both L"~ and L"2 bounds of the tracking errors. It is shown that these bounds can be made arbitrarily small by properly choosing the control design parameters.