Computable Delay Margins for Adaptive Systems With State Variables Accessible

Robust adaptive control of plants whose state variables are accessible in the presence of an input time delay is established in this paper. It is shown that a standard model reference adaptive controller modified with projection ensures global boundedness of the overall adaptive system for a range of nonzero delays. The upper bound of such delays, that is, the delay margin, is explicitly defined and can be computed a priori.

[1]  Delphine Bresch-Pietri,et al.  Adaptive trajectory tracking despite unknown input delay and plant parameters , 2009, Autom..

[2]  L. Praly,et al.  Adaptive nonlinear regulation: estimation from the Lyapunov equation , 1992 .

[3]  Anuradha M. Annaswamy,et al.  Guaranteed delay margins for adaptive systems with state variables accessible , 2013, 2013 American Control Conference.

[4]  Anuradha M. Annaswamy,et al.  Guaranteed delay margins for adaptive control of scalar plants , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[5]  Petros A. Ioannou,et al.  Robust adaptive control: a unified approach , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[6]  M. Krstić Delay Compensation for Nonlinear, Adaptive, and PDE Systems , 2009 .

[7]  R. Ortega,et al.  Globally stable adaptive controller for systems with delay , 1988 .

[8]  Hassan K. Khalil,et al.  Output feedback control of nonlinear systems using RBF neural networks , 2000, IEEE Trans. Neural Networks Learn. Syst..

[9]  Anuradha M. Annaswamy,et al.  Trustable autonomous systems using adaptive control , 2011, IEEE Conference on Decision and Control and European Control Conference.

[10]  Silviu-Iulian Niculescu,et al.  Survey on Recent Results in the Stability and Control of Time-Delay Systems* , 2003 .

[11]  K. Narendra,et al.  A New Adaptive Law for Robust Adaptation without Persistent Excitation , 1986, 1986 American Control Conference.

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

[13]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

[14]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[15]  Anuradha M. Annaswamy,et al.  Adaptive posicast controller for time-delay systems with relative degree n*<=2 , 2010, Autom..

[16]  Miroslav Krstic,et al.  Delay-adaptive feedback for linear feedforward systems , 2010, Proceedings of the 2010 American Control Conference.

[17]  K. Narendra,et al.  Robust adaptive control in the presence of bounded disturbances , 1986 .

[18]  Anuradha M. Annaswamy,et al.  An adaptive Smith-controller for time-delay systems with relative degree n*≤2 , 2003, Syst. Control. Lett..

[19]  K. Narendra,et al.  Stable model reference adaptive control in the presence of bounded disturbances , 1982 .

[20]  Sanjeev M. Naik,et al.  Robust continuous-time adaptive control by parameter projection , 1992 .