Comparison of Tracking Performance and Robustness of Simplified Models of Multirotor UAV’s Propulsion Unit with CDM and PID Controllers (with anti-windup compensation)

The main aim of this article is to compare two tuning methods, namely CDM (Coefficient Diagram Method) and PID (Proportional-Integral-Derivative) based on pole placement with five different anti-windup compensators. For three example models, commonly used in multirotor unmanned aerial vehicles, presenting different physical and dynamical properties (e.g. thrusts), authors proposed simplified mathematical models (first-order inertial model with time-delay). First model was obtained by estimation based on MATLAB System Identification Toolbox, second was estimated with graphical method and empirical selection of parameters. Thrust characteristics were recorded on the test stand and used for model parameterization. Tuning methods (CDM algorithm and PID pole placement) are briefly described in further part of this paper in the context of tracking performance and tolerance to parameter uncertainty. The comparison was based on two integral quality indices types: IAE (Integral of Absolute Error) and ISE (Integral of Squared Error).

[1]  Bernd Tibken,et al.  Digital design of Coefficient Diagram Method , 2009, 2009 American Control Conference.

[2]  Dariusz Horla,et al.  Robust CDM and pole placement PID based thrust controllers for multirotor motor-rotor simplified model: The comparison in a context of using anti-windup compensation , 2016, 2016 International Siberian Conference on Control and Communications (SIBCON).

[3]  Kimon P. Valavanis,et al.  Linear and Nonlinear Control of Small-Scale Unmanned Helicopters , 2010 .

[4]  Roland Siegwart,et al.  PID vs LQ control techniques applied to an indoor micro quadrotor , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[5]  Wojciech Giernacki,et al.  Performance of Coaxial Propulsion in Design of Multi-rotor UAVs , 2016, AUTOMATION.

[6]  真一 中須賀 IFAC Symposium on Automatic Control in Aerospace 参加報告 , 2004 .

[7]  Muhammet Köksal,et al.  A program for the design of linear time invariant control systems: CDMCAD , 2004, Comput. Appl. Eng. Educ..

[8]  Shunji,et al.  Recent Development of Coefficient Diagram Method , 2000 .

[9]  Dariusz Horla,et al.  Analysis of simple anti-windup compensation in pole-placement control of a second order oscillatory system , 2015 .

[10]  Shunji Manabe COEFFICIENT DIAGRAM METHOD IN MIMO APPLICATION: AN AEROSPACE CASE STUDY , 2005 .

[11]  Jun Li,et al.  Dynamic analysis and PID control for a quadrotor , 2011, 2011 IEEE International Conference on Mechatronics and Automation.

[12]  Elmer R. Magsino,et al.  Implementation of Speed and Torque Control on Quadrotor Altitude and Attitude Stability , 2013 .

[13]  S. Manabe Coefficient Diagram Method , 1998 .

[14]  Rogelio Lozano,et al.  Modeling and Control of mini UAV , 2013 .

[15]  Roman Czyba,et al.  Modeling and identification of electric propulsion system for multirotor unmanned aerial vehicle design , 2014, 2014 International Conference on Unmanned Aircraft Systems (ICUAS).

[16]  Agus Budiyono,et al.  Intelligent Unmanned Systems: Theory and Applications , 2009, Intelligent Unmanned Systems.

[17]  Dariusz Horla,et al.  Analysis of simple anti-windup compensation in approximate pole-placement control of a second order oscillatory system with time-delay , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

[18]  Xun Gong,et al.  Modeling and robust backstepping sliding mode control with Adaptive RBFNN for a novel coaxial eight-rotor UAV , 2015, IEEE/CAA Journal of Automatica Sinica.

[19]  Harlan D. Mills,et al.  What is a Program , 1972 .

[20]  Fan Zhang,et al.  Attitude control of coaxial tri-rotor UAV based on Linear Extended State Observer , 2014, The 26th Chinese Control and Decision Conference (2014 CCDC).

[21]  Wojciech Giernacki,et al.  CDM controller order and disturbance rejection ability , 2014 .

[22]  Rogelio Lozano,et al.  PID switching control for a highway estimation and tracking applied on a convertible mini-UAV , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).