Unification of discrete time explicit model reference adaptive control designs

Various discrete time explicit MRAC designs based on stability considerations are presented from a unified point of view. A general structure and a design procedure are given, which contain as particular cases various possible designs. Some of these designs have been already given in the literature but some are new. The general structure considered removes some of the restrictions encountered in previous designs and solves the important problem of independent specification of tracking and regulation objectives. The proof of boundedness of the control variables is also given. Simulations are included in order to evaluate the various designs in a deterministic environment.

[1]  I. Landau.  An extension of a stability theorem applicable to adaptive control , 1980 .

[2]  K. Narendra,et al.  Stable adaptive controller design--Direct control , 1978 .

[3]  I. D. Landau,et al.  Design of multivariable adaptive model following control systems , 1974 .

[4]  Tudor Ionescu,et al.  Discrete model reference adaptive control with an augmented error signal , 1975, Autom..

[5]  Rogelio Lozano,et al.  Redesign of explicit and implicit discrete time model reference adaptive control schemes , 1981 .

[6]  P. Ramadge,et al.  Discrete-time multivariable adaptive control , 1979 .

[7]  E. Irving,et al.  Improving power network stability and unit stress with adaptive generator control , 1979, Autom..

[8]  K. Narendra,et al.  Stable adaptive controller design, part II: Proof of stability , 1980 .

[9]  B. Egardt.  Stability analysis of discrete-time adaptive control schemes , 1980 .

[10]  I. Landau.  Unbiased recursive identification using model reference adaptive techniques , 1976 .

[11]  R. Lozano Leal.  Adaptive Control with Forgetting Factor , 1981 .

[12]  I. Landau.  Adaptive controllers with explicit and implicit reference models and stochastic self tuning regulators-eqivalence and duality aspects , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[13]  L. Dugard,et al.  Stochastic model reference adaptive controllers , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[14]  B. Egardt.  Unification of some discrete-time adaptive control schemes , 1980 .

[15]  Björn Wittenmark,et al.  On Self Tuning Regulators , 1973 .

[16]  Karl Johan Åström,et al.  Self-tuning Controllers Based on Pole Placement Design , 1978 .