Exponential stabilization controller design for interconnected time delay systems

Chang Chun Hua, Qing Guo Wang, Xin Ping Guan

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)

Abstract

Decentralized robust control problem is investigated for a class of large scale systems with time varying delays. The considered systems have mismatches in time delay functions. A state coordinate transformation is first employed to change the original system into a cascade system. Then the virtual linear state feedback controller is developed to stabilize the first subsystem. Based on the virtual controller, a memoryless state feedback controller is constructed for the second subsystem. By choosing new Lyapunov Krasovskii functional, we show that the designed decentralized continuous adaptive controller makes the solutions of the closed-loop system exponentially convergent to a ball, which can be rendered arbitrary small by adjusting design parameters. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed design techniques.

Original languageEnglish
Pages (from-to)2600-2606
Number of pages7
JournalAutomatica
Volume44
Issue number10
DOIs
Publication statusPublished - Oct 2008
Externally publishedYes

Keywords

  • Adaptive control
  • Decentralized control
  • Interconnected systems
  • Nonlinear time delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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