A unified analysis of self-exciting regulators using internal impulse sequences

We present a unified analysis of the exciting capability for a class of regulators involving deterministic internal impulse-type sequences. Different excitation properties (e.g. persistent, vanishing, switched) can be achieved, through such exciting sequences, in many situations (e.g. open-loop identification, adaptive control).

[1]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[2]  Iven M. Y. Mareels,et al.  Non-linear dynamics in adaptive control: Chaotic and periodic stabilization , 1986, Autom..

[3]  G. Kreisselmeier,et al.  Stable adaptive regulation of arbitrary nth-order plants , 1986 .

[4]  Jan Willem Polderman,et al.  A state space approach to the problem of adaptive pole assignment , 1989, Math. Control. Signals Syst..

[5]  Fouad Giri,et al.  Stable pole placement direct adaptive control for systems with arbitrary zeros , 1988 .

[6]  Richard M. Johnstone,et al.  Exponential convergence of recursive least squares with exponential forgetting factor , 1982, 1982 21st IEEE Conference on Decision and Control.

[7]  Mohammed M'Saad,et al.  On the robustness of discrete-time indirect adaptive (linear) controllers , 1988, Autom..

[8]  R. Cristi,et al.  Global stability of adaptive pole placement algorithms , 1985 .

[9]  Richard M. Johnstone,et al.  Global adaptive pole positioning , 1985, IEEE Transactions on Automatic Control.

[10]  Mohammed M'Saad,et al.  Parameter estimation aspects in adaptive control , 1991, Autom..

[11]  E. Bai,et al.  Persistency of excitation, sufficient richness and parameter convergence in discrete time adaptive control☆ , 1985 .

[12]  M. M'Saad,et al.  A cautious approach to robust adaptive regulation , 1988 .

[13]  B. Anderson Exponential stability of linear equations arising in adaptive identification , 1977 .

[14]  Petros A. Ioannou,et al.  A stable indirect adaptive control scheme for first-order plants with no prior knowledge on the parameters , 1993, IEEE Trans. Autom. Control..

[15]  Roberto Cristi Internal persistency of excitation in indirect adaptive control , 1987 .

[16]  Graham C. Goodwin,et al.  Adaptive filtering prediction and control , 1984 .

[17]  F. Giri,et al.  Pole placement direct adaptive control for time-varying ill-modeled plants , 1990 .

[18]  Robert R. Bitmead,et al.  Persistence of excitation conditions and the convergence of adaptive schemes , 1984, IEEE Trans. Inf. Theory.

[19]  F. Giri,et al.  Robust pole placement direct adaptive control , 1987, 26th IEEE Conference on Decision and Control.

[20]  R. Bitmead,et al.  Nonlinear Dynamics in Adaptive Control: Chaotic and Periodic Stabilization , 1987 .

[21]  M. M'Saad,et al.  A globally convergent pole placement indirect adaptive controller , 1987, 26th IEEE Conference on Decision and Control.

[22]  F. Giri,et al.  Robust pole placement direct adaptive control , 1989 .

[23]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[24]  Brian D. O. Anderson,et al.  Adaptive systems, lack of persistency of excitation and bursting phenomena , 1985, Autom..

[25]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .

[26]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[27]  G. Goodwin,et al.  Persistency of excitation in the presence of possibly unbounded signals , 1985 .