Tuning of an iP controller for a time-delayed plant by a performance portrait method

This paper deals with a performance analysis and optimal tuning of an intelligent proportional (iP) controller for the first order time delayed plants. iP control represents the simplest solution used within the so called “model free control”. Although it has been primarily developed for more complex nonlinear plants, its basic performance analysis may preferably be carried out in a simple linear setup by considering an integral time delayed plant with an input (load) disturbance. The corresponding disturbance observer is based on a finite-impulse-response (FIR) filter, which makes an analytical tuning inapplicable. The paper shows, how it may be carried out by the performance portrait method. Inspired by analogous problems solved already in a traditional disturbance observer based control, comparison of both approaches shows new interesting features of the “model free” control under time delays.

[1]  Mikuláš Huba,et al.  Performance measures, performance limits and optimal PI control for the IPDT plant , 2013 .

[2]  Mikuláš Huba.  Performance Portrait Method: A New CAD Tool , 2013, ACE.

[3]  Michel Fliess,et al.  A mathematical explanation via “intelligent” PID controllers of the strange ubiquity of PIDs , 2010, 18th Mediterranean Conference on Control and Automation, MED'10.

[4]  Mikulas Huba.  Analyzing limits of one type of disturbance observer based PI control by the performance portrait method , 2015, 2015 23rd Mediterranean Conference on Control and Automation (MED).

[5]  José Luis Guzmán,et al.  An unified approach for DTC design using interactive tools , 2009 .

[6]  Cédric Join,et al.  Model-free control , 2013, Int. J. Control.

[7]  Mikulás Huba.  Modular disturbance observer based constrained PI-controller design , 2012, 2012 12th IEEE International Workshop on Advanced Motion Control (AMC).

[8]  Kouhei Ohnishi,et al.  Microprocessor-Controlled DC Motor for Load-Insensitive Position Servo System , 1985, IEEE Transactions on Industrial Electronics.

[9]  Pavol Bistak,et al.  P- AND PD- CONTROLLERS FOR I1 AND I2 MODELS WITH DEAD TIME , 1999 .

[10]  Julio E. Normey-Rico,et al.  Control of integral processes with dead-time. Part 1: Disturbance observer-based 2DOF control scheme , 2002 .

[11]  Cédric Join,et al.  Stability margins and model-free control: A first look , 2014, 2014 European Control Conference (ECC).

[12]  Zhiqiang Gao,et al.  Active disturbance rejection control: a paradigm shift in feedback control system design , 2006, 2006 American Control Conference.

[13]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[14]  M. Huba.  Comparing 2DOF PI and predictive disturbance observer based filtered PI control , 2013 .

[15]  S. Skogestad.  Simple analytic rules for model reduction and PID controller tuning , 2004 .

[16]  Zhiqiang Gao,et al.  On the centrality of disturbance rejection in automatic control. , 2014, ISA transactions.

[17]  Eduardo F. Camacho,et al.  Unified approach for robust dead-time compensator design , 2009 .

[18]  Johannes A.G.M. van Dijk,et al.  Disturbance Observers for Rigid Mechanical Systems: Equivalence, Stability, and Design , 2002 .

[19]  Vladimír Kučera,et al.  Diophantine equations in control - A survey , 1993, Autom..