Robust High-Gain Generalization of PID Controllers with Anti-Windup Compensation

Abstract Generalization of PID controllers depending on the plant relative degree is addressed in the paper. The consecutive compensator approach is redesigned in the state-space representation and augmented with the integral loop and anti-windup scheme. The stability of the closed-loop system is proved. Efficiency of the proposed approach is illustrated by the experiments carried out using the 2-DOF indoor quadcopter testbed.

[1]  Nikolay V. Kuznetsov,et al.  Hidden Oscillations in Aircraft Flight Control System with Input Saturation , 2013, PSYCO.

[2]  A. Bobtsov,et al.  Fradkov theorem-based design of the control of nonlinear systems with functional and parametric uncertainties , 2005 .

[3]  Robert E. Mahony,et al.  Control of a quadrotor helicopter using visual feedback , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[4]  B. R. Andrievskii,et al.  Aircraft control with anti-windup compensation , 2012 .

[5]  Alexey A. Bobtsov.  A note to output feedback adaptive control for uncertain system with static nonlinearity , 2005, Autom..

[6]  Tore Hägglund,et al.  Advanced PID Control , 2005 .

[7]  Jacobus E. Rooda,et al.  An Anti-Windup Based Approach to the Control of Manufacturing Systems , 2008 .

[8]  Boris Andrievsky,et al.  Passification based simple adaptive control of quadrotor attitude: Algorithms and testbed results , 2017 .

[9]  Nikolay V. Kuznetsov,et al.  Convergence-based Analysis of Robustness to Delay in Anti-windup Loop of Aircraft Autopilot , 2015 .

[10]  P. Olver.  Nonlinear Systems , 2013 .

[11]  Alexey A. Bobtsov,et al.  Fradkov theorem-based design of the control of nonlinear systems with functional and parametric uncertainties , 2005 .

[12]  A. Pyrkin,et al.  Output Robust Control with Anti-Windup Compensation for Quadcopters , 2016 .

[13]  Alexander L. Fradkov.  Passification of Non-square Linear Systems and Feedback Yakubovich - Kalman - Popov Lemma , 2003, Eur. J. Control.

[14]  Alexey A. Bobtsov,et al.  Experimental study on robust output control for quadcopters , 2017, 2017 25th Mediterranean Conference on Control and Automation (MED).

[15]  Nikolay V. Kuznetsov,et al.  Convergence based anti-windup design method and its application to flight control , 2012, 2012 IV International Congress on Ultra Modern Telecommunications and Control Systems.

[16]  A. Pyrkin,et al.  Simple adaptive control for quadcopters with saturated actuators , 2017 .