Disturbance Compensation and Control Algorithm with Application for Non-linear Twin Rotor MIMO System

The disturbance compensation algorithm for continuous-time multi input multi output (MIMO) nonlinear plants under parametric uncertainties and external disturbances with quantized output signal is proposed. The auxiliary loop approach is used for estimation disturbance function. The proposed algorithm guarantees that the output of the plant tracks the reference output with the required accuracy. The experimental results on non-linear twin rotor MIMO system illustrate the efficiency and robustness of the suggested control system.

[1]  B. Widrow.  Statistical analysis of amplitude-quantized sampled-data systems , 1961, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[2]  Alexey A. Bobtsov.  Output control algorithm with the compensation of biased harmonic disturbances , 2008 .

[3]  Eduardo Sontag,et al.  Linear systems with sign-observations , 1993 .

[4]  D. Delchamps.  Stabilizing a linear system with quantized state feedback , 1990 .

[5]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

[6]  John Baillieul,et al.  Feedback Designs for Controlling Device Arrays with Communication Channel Bandwidth Constraints , 1999 .

[7]  Daniel Liberzon,et al.  Compensation of disturbances for MIMO systems with quantized output , 2015, Autom..

[8]  Daniel Liberzon,et al.  Hybrid feedback stabilization of systems with quantized signals , 2003, Autom..

[9]  Orla Feely,et al.  A tutorial introduction to non‐linear dynamics and chaos and their application to sigma–delta modulators , 1997 .

[10]  Igor B. Furtat,et al.  Robust control of uncertain linear systems in conditions of output quantization , 2015 .

[11]  J. Baillieul.  Feedback coding for information-based control: operating near the data-rate limit , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[12]  Sekhar Tatikonda,et al.  Control under communication constraints , 2004, IEEE Transactions on Automatic Control.

[13]  J. Hespanha,et al.  Towards the Control of Linear Systems with Minimum Bit-Rate , 2002 .

[14]  Igor Furtat,et al.  Robust control of linear MIMO systems in conditions of parametric uncertainties, external disturbances and signal quantization , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

[15]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[16]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[17]  A. M. Tsykunov.  Robust control with compensation of bounded perturbations and noise , 2014 .

[18]  R. Evans,et al.  Stabilization with data-rate-limited feedback: tightest attainable bounds , 2000 .

[19]  Daniel Liberzon,et al.  Input to State Stabilizing Controller for Systems With Coarse Quantization , 2012, IEEE Transactions on Automatic Control.