Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Switching Adaptive Control

  • Minyue Fu
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_119-1


Switching adaptive control is one of the advanced approaches to adaptive control. By employing an array of simple candidate controllers, a properly designed monitoring function and switching law, this approach is capable to search in real time for a correct candidate controller to achieve the given control objective such as stabilization and set-point regulation. This approach can deal with large parameter uncertainties and offers good robustness against unmodelled dynamics. This article offers a brief introduction to switching adaptive control, including some historical background, basic concepts, key design components, and technical issues.


Adaptive control Supervisory control Hybrid systems Uncertain systems Multiple models Switching logic 
This is a preview of subscription content, log in to check access.


  1. Anderson BDO, Brinsmead T, Bruyne FD, Hespanha JP, Liberzon D, Morse AS (2000) Multiple model adaptive conrol. Part 1: finite controller coverings. Int J Robust Nonlinear Control 10(11–12):909–929CrossRefMATHGoogle Scholar
  2. Battistelli G, Hespanha JP, Tesi P (2012) Supervisory control of switched nonlinear systems. Int J Adapt Control Signal Process 26(8):723–738. Special issue on Recent Trends on the Use of Switching and Mixing in Adaptive ControlGoogle Scholar
  3. Fu M, Barmish BR (1986) Adaptive stabilization of linear systems via switching control. IEEE Trans Autom Control 31(12):1097–1103CrossRefMATHMathSciNetGoogle Scholar
  4. Hespanha JP, Liberzon D, Morse AS, Anderson BDO, Brinsmead T, Bruyne FD (2001) Multiple model adaptive control. Part 2: switching. Int J Robust Nonlinear Control 11:479–496CrossRefMATHGoogle Scholar
  5. Ioannou P, Sun J (1996) Robust adaptive control. Prentice Hall, Upper Saddle RiverMATHGoogle Scholar
  6. Leith DJ, Leithead WE (2000) Survey of gain-scheduling analysis and design. Int J Control 73(11):1001–1025CrossRefMATHMathSciNetGoogle Scholar
  7. Liberzon D (2003) Switching in systems and control. Birkhäuser, BostonCrossRefMATHGoogle Scholar
  8. Martensson B (1985) The order of any stabilizing regulator is sufficient information for adaptive stabilization. Syst Control Lett 6:87–91CrossRefMATHMathSciNetGoogle Scholar
  9. Milanese M, Taragna M (2005) H-infinity set membership identification: a survey. Automatica 41:2019–2032CrossRefMATHMathSciNetGoogle Scholar
  10. Morse AS (1985) A three-dimensional universal controller for the adaptive stabiliztion of any strictly proper minimum-phase system with relative degree not exceeding two. IEEE Trans Autom Control 30(12):1188–1191CrossRefMATHMathSciNetGoogle Scholar
  11. Morse AS (1996) Supervisory control of famillies of linear set-point controllers part I: exact matching. IEEE Trans Autom Control 41(10):1413–1431CrossRefMATHMathSciNetGoogle Scholar
  12. Morse AS (1997) Supervisory control of families of linear set-point controllers part II: robustness. IEEE Trans Autom Control 42(11):1500–1515CrossRefMATHMathSciNetGoogle Scholar
  13. Morse AS (2004) Lecture notes on logically switched dynamical systems. In: Nistri P, Stefani G (eds) Nonlinear and optimal control theory. Springer, Berlin, pp 61–162Google Scholar
  14. Nussbaum RD (1983) Some remarks on a conjecture in parameter adaptive control. Syst Control Lett 3:243–246CrossRefMATHMathSciNetGoogle Scholar
  15. Rohrs CE, Valavani L, Athans M, Stein G (1985) Robustness of continuous-time adaptive control algorithms in the presence of un-modeled dynamics. IEEE Trans Autom Control 30(9):881–889CrossRefMATHGoogle Scholar
  16. Zhivoglyadov PV, Middleton RH, Fu M (2000) Localization based switching adaptive control for time-varying discrete-time systems. IEEE Trans Autom Control 45(4):752–755CrossRefMATHMathSciNetGoogle Scholar
  17. Zhivoglyadov PV, Middleton RH, Fu M (2001) Further results on localization based switching adaptive control. Automatica 37:257–263CrossRefMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Electrical Engineering and Computer Science, University of NewcastleCallaghan, NSWAustralia