Adaptive control of overmodeled linear time-invariant discrete systems

과모델된 선형 시불변 이산 시간 시스템의 적응 제어법칙

  • Yang, Hyun-Suk (Dept. of Electronic and Electrical Engineering, Hongik University) ;
  • Lee, Ho-Shin (Institute for Advanced Engineering)
  • Published : 1996.06.01


This paper presents a parameter adaptive control law that stabilizes and asymptotically regulates any single-input, linear time-invariant, controllable and observable, discrete-time system when only the upper bounds on the order of the system is given. The algorithm presented in this paper comprises basically a nonlinear state feedback law which is represented by functions of the state vector in the controllable subspace of the model, an adaptive identifier of plant parameters which uses inputs and outputs of a certain length, and an adaptive law for feedback gain adjustment. A new psedu-inverse algorithm is used for the adaptive feedback gain adjustment rather than a least-square algorithm. The proposed feedback law results in not only uniform boundedness of the state vector to zero. The superiority of the proposed algorithm over other algorithms is shown through some examples.


  1. IEEE Trans. Automatic Contr. v.39 Parameter adaptive control: A solution to the overmodeling problem G.Kreisselmeier
  2. IEEE Trans. Automat. Contr. v.AC-31 Stable adaptive regulation of arbitrary n_th order plants G.Kreisselmeier;M.C.Smith
  3. IEEE Trans. Automat. Contr. v.AC-34 An indirect adaptive controller with a self-excitation capability G.Kreisselmeier
  4. IEEE Trans. Automat. Contr. v.34 Robust adaptive regulation without persistent excitation R.Lozano-Leal
  5. IEEE Trans. Automatic Contr. v.37 Robust adaptive regulation with minimal prior knowledge F.Giri;M.M'Saad;L.Dugard;J.M.Dion
  6. Automatica v.25 Robustness of adaptive controllers-a survey R.Ortega;Y.Tang
  7. Tech. Rep. Dept. Elec. Eng. A cyclic switching strategy for parameter adaptive control F.M.Pait;A.S.Morse