Adaptive PI control with robust variable structure anti-windup strategy for systems with rate-limited actuators: Application to compression systems

Abstract In this paper, an adaptive proportional–integral (PI) control strategy for nonlinear systems with constrained actuators is discussed. In particular, a variable-structure anti-windup strategy that can be retrofitted onto different control structures is proposed and validated. Both the developed controller and anti-windup method are attuned to an automotive industrial control application: the control of air mass flow-rate and pressure in a fuel cell system using a high speed turbo-compressor and an electromechanical valve. Both the compressor and valve are rate-limited. The results from experimental tests agree with the simulations obtained and showing the effectiveness of the proposed approach by evidencing the fast control dynamics and the proper and desired closed-loop performance of the scheme without windup phenomena.

[1]  Kenji Hirata,et al.  A reference governor in a piecewise state affine function: the implementation and validation , 2003, SICE 2003 Annual Conference (IEEE Cat. No.03TH8734).

[2]  Jay H. Lee,et al.  Model predictive control: Review of the three decades of development , 2011 .

[3]  Shu Lin,et al.  Model Predictive Control — Status and Challenges , 2013 .

[4]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[5]  Matthew C. Turner,et al.  Anti-windup synthesis for systems with rate-limits using Riccati equations , 2010, Int. J. Control.

[6]  Stefano Di Cairano,et al.  Reference and command governors: A tutorial on their theory and automotive applications , 2014, 2014 American Control Conference.

[7]  Jung-Su Kim,et al.  Robust tracking model predictive control for input-constrained uncertain linear time invariant systems , 2014, Int. J. Control.

[8]  Fabricio Garelli,et al.  Variable structure strategy to avoid amplitude and rate saturation in pitch control of a wind turbine , 2010 .

[9]  E. Garone,et al.  Fast reference governor for linear systems , 2017 .

[10]  Sophie Tarbouriech,et al.  Anti-windup strategy for reset control systems , 2011 .

[11]  Jay H. Lee,et al.  Model predictive control: past, present and future , 1999 .

[12]  Kenji Hirata,et al.  Reference Governor for Constrained Systems with Time-varying References , 2006, 2006 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems.

[13]  Michael Nikolaou,et al.  MPC: Current practice and challenges , 2012 .

[14]  Faryar Jabbari,et al.  Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation , 2000, Autom..

[15]  Carlos Ocampo-Martinez,et al.  Sliding Mode Anti-windup Strategy for Mass Flow-Rate Regulation of Compressors with Rate-Limited Motors , 2018, 2018 15th International Workshop on Variable Structure Systems (VSS).

[16]  Torbjørn Sønstebø Grong.  Modeling of Compressor Characterisics and Active Surge Control , 2009 .

[17]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[18]  Fredrik Hellström,et al.  Numerical computations of the unsteady flow in turbochargers , 2010 .

[19]  Silvia Canale,et al.  Electric vehicles charging control in a smart grid: A model predictive control approach , 2014 .

[20]  Edoardo Mosca,et al.  Robust command governors for constrained linear systems , 2000, IEEE Trans. Autom. Control..

[21]  P. D. Chandana Perera,et al.  Sensorless Control of Permanent-Magnet Synchronous Motor Drives , 2002 .

[22]  Antonio Ferramosca,et al.  MPC for tracking with optimal closed-loop performance , 2008, 2008 47th IEEE Conference on Decision and Control.

[23]  R. Bhushan Gopaluni,et al.  Model Predictive Control in Industry: Challenges and Opportunities , 2015 .

[24]  Matthew C. Turner,et al.  Anti-windup design with rate and magnitude actuator and sensor saturations , 2009, 2009 European Control Conference (ECC).

[25]  G. Martin,et al.  Nonlinear model predictive control , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[26]  S. Tarbouriech,et al.  Anti-windup design: an overview of some recent advances and open problems , 2009 .

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

[28]  Sophie Tarbouriech,et al.  On dynamic inversion with rate limitations , 2012, 2012 American Control Conference (ACC).

[29]  Huijun Gao,et al.  Vibration Isolation for Active Suspensions With Performance Constraints and Actuator Saturation , 2015, IEEE/ASME Transactions on Mechatronics.

[30]  Oskar Leufvén,et al.  Compressor Modeling for Control of Automotive Two Stage Turbochargers , 2010 .

[31]  K. Kogiso,et al.  A reference governor in a piecewise state affine function , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[32]  Hernán De Battista,et al.  Advanced Control for Constrained Processes and Systems , 2011 .

[33]  Igor Boiko.  Non-parametric Tuning of PID Controllers , 2012 .

[34]  Karolos M. Grigoriadis,et al.  Actuator saturation control , 2002 .

[35]  Sophie Tarbouriech,et al.  Sampled‐data control under magnitude and rate saturating actuators , 2016 .

[36]  Julia H. Buckland,et al.  Reference and extended command governors for control of turbocharged gasoline engines based on linear models , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[37]  Elmer G. Gilbert,et al.  Constrained linear systems with hard constraints and disturbances: An extended command governor with large domain of attraction , 2011, Autom..

[38]  Cheng-Ching Yu,et al.  Autotuning of PID Controllers: Relay Feedback Approach , 1999 .

[39]  Anna G. Stefanopoulou,et al.  Control of Fuel Cell Power Systems: Principles, Modeling, Analysis and Feedback Design , 2004 .

[40]  Anthony Tzes,et al.  Switching model predictive attitude control for a quadrotor helicopter subject to atmospheric disturbances , 2011 .

[41]  Shumin Fei,et al.  Analysis of Actuator Rate Limit Effects on First-Order Plus Time-Delay Systems under Fractional-Order Proportional-Integral Control ⁎ ⁎This work was supported by China Scholarship Council (CSC) under Grant (201606090086). , 2018 .

[42]  Philipp Nadel,et al.  Control Of Fuel Cell Power Systems Principles Modeling Analysis And Feedback Design , 2016 .

[43]  Graham C. Goodwin,et al.  Constrained Control and Estimation: an Optimization Approach , 2004, IEEE Transactions on Automatic Control.

[44]  Ilya Kolmanovsky,et al.  Turbocharger Modeling for Automotive Control Applications , 1999 .

[45]  Michael Cave,et al.  Blade Thickness Effect on Impeller Slip Factor , 2010 .