Adaptive Controller for Linear Plant with Parametric Uncertainties, Input Delay And Unknown Disturbance

Abstract We present a new stabilization approach for unstable linear plants with long input delay, unknown parameters and disturbance. The predictor-based algorithm providing plant identification and stabilization is proposed. Also the extension is considered with estimation and cancellation of an unknown disturbance. A numerical examples are given to illustrate the efficiency of our adaptive controller.

[1]  A. M. Tsykunov,et al.  Adaptive Control of an Object with a Delayed Control and Scalar Input-Output Signals , 2001 .

[2]  O. J. M. Smith,et al.  A controller to overcome dead time , 1959 .

[3]  Miroslav Krstic,et al.  Output Control Algorithm for Unstable Plant with Input Delay and Cancellation of Unknown Biased Harmonic Disturbance , 2010 .

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

[5]  Z. Artstein Linear systems with delayed controls: A reduction , 1982 .

[6]  Wook Hyun Kwon,et al.  Feedback stabilization of linear systems with delayed control , 1980 .

[7]  Anton A. Pyrkin Adaptive algorithm to compensate parametrically uncertain biased disturbance of a linear plant with delay in the control channel , 2010 .

[8]  Miroslav Krstic,et al.  Backstepping boundary control for first order hyperbolic PDEs and application to systems with actuator and sensor delays , 2007, 2007 46th IEEE Conference on Decision and Control.

[9]  Miroslav Krstic,et al.  Backstepping boundary control for first order hyperbolic PDEs and application to systems with actuator and sensor delays , 2007, CDC.

[10]  Alexey A. Bobtsov,et al.  Output control for nonlinear system with time-varying delay and stability analysis , 2011, IEEE Conference on Decision and Control and European Control Conference.

[11]  Miroslav Krstic,et al.  Rejection of sinusoidal disturbance of unknown frequency for linear system with input delay , 2010, Proceedings of the 2010 American Control Conference.

[12]  Miroslav Krstic,et al.  First-Order Hyperbolic PDEs and Delay Equations , 2008 .

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

[14]  Alexey A. Bobtsov,et al.  Cancelation of unknown multiharmonic disturbance for nonlinear plant with input delay , 2012 .

[15]  Sergey A. Kolyubin,et al.  Compensation of unknown multi-harmonic disturbances in nonlinear plants with delayed control , 2010 .

[16]  Sergey A. Kolyubin,et al.  Output control approach “consecutive compensator” providing exponential and L∞-stability for nonlinear systems with delay and disturbance , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[17]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

[18]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .