Output adaptive controller for linear system with input delay and multisinusoidal disturbance

We present a new stabilization approach for a linear plant with the input delay and an unknown multisinusoidal disturbance affected the input and the output. To solve this problem, we combine the well-known predictor feedback approach with the state observer and adaptive scheme that identifies the frequency of the disturbance. Compared to the existing approaches, our adaptive scheme is applicable to plants that are unstable, non-minimum phase, and have an arbitrary relative degree.

[1]  Romeo Ortega,et al.  A globally convergent frequency estimator , 1999, IEEE Trans. Autom. Control..

[2]  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.

[3]  Alexey A. Bobtsov,et al.  Adaptive cancellation of unknown multiharmonic disturbance for nonlinear plant with input delay , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[4]  Alexey A. Bobtsov,et al.  Adaptive observer of an unknown sinusoidal output disturbance for linear plants , 2009 .

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

[6]  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.

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

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

[9]  Alexey A. Bobtsov,et al.  The compensation of a harmonic perturbation under conditions of a delay in control , 2008 .

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

[11]  Riccardo Marino,et al.  Output Regulation for Linear Minimum Phase Systems with Unknown Order Exosystem , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  Pedro Albertos,et al.  Robust tuning of a generalized predictor-based controller for integrating and unstable systems with long time-delay , 2013 .

[13]  Riccardo Marino,et al.  Adaptive stabilization of linear systems with outputs affected by unknown sinusoidal disturbances , 2007, 2007 European Control Conference (ECC).

[14]  R. Lozano,et al.  Robustness of a discrete-time predictor-based controller for time-varying measurement delay , 2010 .

[15]  Denis V. Efimov,et al.  Switched Algorithm for Frequency Estimation with Noise Rejection , 2012, IEEE Transactions on Automatic Control.

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

[17]  Riccardo Marino,et al.  Regulation of Linear Systems with Unknown Additive Sinusoidal Sensor Disturbances , 2008 .

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

[19]  X. Xia,et al.  Global frequency estimation using adaptive identifiers , 2002, IEEE Trans. Autom. Control..

[20]  Alexey A. Bobtsov,et al.  Compensation of unknown sinusoidal disturbances in linear plants of arbitrary relative degree , 2009 .

[21]  Riccardo Marino,et al.  Adaptive Regulator for Uncertain Linear Minimum Phase Systems with Unknown Undermodeled Exosystems , 2008 .

[22]  Tore Hägglund,et al.  Control of unstable non-minimum-phase delayed systems , 2006 .

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

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

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