Advertisement

Adaptive Stabilization

  • Zhiyong ChenEmail author
  • Jie Huang
Chapter
Part of the Advanced Textbooks in Control and Signal Processing book series (C&SP)

Abstract

In Chap.  4, the plant uncertainty, represented by \(d(t)\), must be ranged in a compact set \({\mathbb D}\). As a result, a high gain feedback control strategy can be used to dominate uncertainty so that the stability of the closed-loop system is maintained regardless of the change of \(d(t)\) as long as \(d(t)\in {\mathbb D}\) for all \(t \ge 0\).

References

  1. 1.
    Kanellakopoulos I, okotovi P, Morse AS (1991) Systematic design of adaptive controllers for feedback linearizable systems. IEEE Trans Autom Control 36:1241–1253CrossRefzbMATHGoogle Scholar
  2. 2.
    Krstic M, Kanellakopoulos I, Kokotovi P (1992) Adaptive nonlinear control without overparametrization. Syst control Lett 19:177–185CrossRefzbMATHGoogle Scholar
  3. 3.
    Krstic M, Kanellakopoulos I, Kokotović P (1995) Nonlinear and adaptive control design. Wiley, New YorkGoogle Scholar
  4. 4.
    Liu L, Chen Z, Huang J (2009) Parameter convergence and minimal internal model with an adaptive output regulation problem. Automatica 45:1306–1311CrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    Liu L, Chen Z, Huang J (2011) Global disturbance rejection of lower triangular systems with an unknown linear exosystem. IEEE Trans Autom Control 56(7):1690–1695CrossRefMathSciNetGoogle Scholar
  6. 6.
    Ye XD, Huang J (2003) Decentralized adaptive output regulation for a class of large-scale nonlinear systems. IEEE Trans Autom Control 48:276–281CrossRefMathSciNetGoogle Scholar
  7. 7.
    Liu L, Huang J (2008) Asymptotic disturbance rejection of the Duffing system by adaptive output feedback control. IEEE Trans Circuit Syst 55:1030–1066Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.School of Electrical Engineering and Computer ScienceUniversity of NewcastleCallaghanAustralia
  2. 2.Department of Mechanical and Automation EngineeringThe Chinese University of Hong KongShatinChina

Personalised recommendations