Observer-based offset-free internal model control

Abstract A linear feedback control structure is proposed that allows internal model control design principles to be applied to unstable and marginally stable plants. The control structure comprises an observer using an augmented plant model, state estimate feedback and disturbance estimate feedback. Conditions are given for both nominal internal stability and offset-free action even in the case of plant-model mismatch. The Youla parameterization is recovered as a limiting case with reduced order observers. The simple design methodology is illustrated for a marginally stable plant with delay.

[1]  C. D. Johnson,et al.  Accomodation of external disturbances in linear regulator and servomechanism problems , 1971 .

[2]  Gabriele Pannocchia,et al.  Disturbance models for offset‐free model‐predictive control , 2003 .

[3]  E. Davison,et al.  Design of industrial regulators. Integral feedback and feedforward control , 1972 .

[4]  Somanath Majhi,et al.  A new Smith predictor and controller for unstable and integrating processes with time delay , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[5]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[6]  Kenneth R. Muske,et al.  Disturbance modeling for offset-free linear model predictive control , 2002 .

[7]  James C. Hung,et al.  Internal Model Control , 2011, Control and Mechatronics.

[8]  Derek P. Atherton,et al.  PID controller tuning , 1999 .

[9]  Edward J. Davison,et al.  A note on the design of industrial regulators: Integral feedback and feedforward controllers , 1974, Autom..

[10]  Sunwon Park,et al.  PID controller tuning for integrating and unstable processes with time delay , 2000 .

[11]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[12]  Manfred Morari,et al.  Nonlinear offset-free model predictive control , 2012, Autom..

[13]  Manfred Morari,et al.  Linear offset-free Model Predictive Control , 2009, Autom..

[14]  Stephen Duncan,et al.  Discrete-time anti-windup compensation for synchrotron electron beam controllers with rate constrained actuators , 2016, Autom..

[15]  Vladimír Kučera.  A Method to Teach the Parameterization of All Stabilizing Controllers , 2011 .

[16]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[17]  D. Luenberger.  Observers for multivariable systems , 1966 .

[18]  C. Desoer,et al.  Feedback system design: The fractional representation approach to analysis and synthesis , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[19]  Gabriele Pannocchia,et al.  Offset-free tracking MPC: A tutorial review and comparison of different formulations , 2015, 2015 European Control Conference (ECC).

[20]  Daniel E. Rivera,et al.  Internal Model Control , 2010, Encyclopedia of Machine Learning.