Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays

Chang Chun Hua, Qing Guo Wang, Peng Shi, Xin Ping Guan

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The stabilization problem is investigated for a class of uncertain systems with multiple time-varying delays. The considered system includes the uncertain nonlinear time delay functions, whose bounds are in the form of polynomial-type functions with unknown coefficients. The system is decomposed into two subsystems based on the input matrix. For the first subsystem, a time delay dependent linear virtual control input is constructed. Then, a memoryless state feedback controller is designed based on backstepping method. By employing new Lyapunov-Krasovskii functional, we show that the closed-loop system is exponentially stable. Finally, simulations are conducted to verify the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)445041-445047
Number of pages7
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number4
Publication statusPublished - Jul 2008
Externally publishedYes


  • Adaptive method
  • Exponential stabilization
  • Multiple delays
  • Polynomial systems
  • Time delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications


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