Robust MPC for networks with varying communication capabilities

Abstract We consider the control of constrained, uncertain systems over wireless communication networks with varying capabilities. We focus on the case that a radio resource manager, which manages the wireless network, provides guaranteed minimum communication at fixed time instants while offering more frequent communication depending on the current load of the shared network, available network capacity or other conditions. To exploit the additionally available communication we propose a robust model predictive control strategy exploiting ideas of tube MPC that utilizes the possibly additionally available communication to improve the closed loop performance. Conditions to guarantee closed loop properties are presented. Simulations illustrate the proposed approach and its benefits.

[1]  Daniel E. Quevedo,et al.  Controller and Scheduler Codesign for Feedback Control Over IEEE 802.15.4 Networks , 2016, IEEE Transactions on Control Systems Technology.

[2]  Paulo Tabuada,et al.  An introduction to event-triggered and self-triggered control , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[3]  David Q. Mayne,et al.  Robust model predictive control using tubes , 2004, Autom..

[4]  Sebastian Trimpe,et al.  Event-based State Estimation: An Emulation-based Approach , 2017, ArXiv.

[5]  W. P. M. H. Heemels,et al.  Robust self-triggered model predictive control for constrained discrete-time LTI systems based on homothetic tubes , 2015, 2015 European Control Conference (ECC).

[6]  Rolf Findeisen,et al.  Discrete-time robust model predictive control for continuous-time nonlinear systems , 2015, 2015 American Control Conference (ACC).

[7]  Graham C. Goodwin,et al.  Robust model predictive control: reflections and opportunities , 2014 .

[8]  Johan Efberg,et al.  YALMIP : A toolbox for modeling and optimization in MATLAB , 2004 .

[9]  W. P. M. H. Heemels,et al.  On integration of event-based estimation and robust MPC in a feedback loop , 2010, HSCC '10.

[10]  Manfred Morari,et al.  Multi-Parametric Toolbox 3.0 , 2013, 2013 European Control Conference (ECC).

[11]  Frank Allgöwer,et al.  Robust Event-Triggered MPC for Constrained Linear Discrete-Time Systems with Guaranteed Average Sampling Rate* , 2015 .

[12]  Rolf Findeisen,et al.  Stability of NMPC with Cyclic Horizons , 2013, NOLCOS.

[13]  David Q. Mayne,et al.  Robust model predictive control of constrained linear systems with bounded disturbances , 2005, Autom..

[14]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[15]  Sandra Hirche,et al.  Error-dependent data scheduling in resource-aware multi-loop networked control systems , 2017, Autom..

[16]  David Q. Mayne,et al.  Competing methods for robust and stochastic MPC , 2018 .

[17]  Xiaofeng Wang,et al.  Preliminary results on state-trigered scheduling of stabilizing control tasks , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[18]  Rolf Findeisen,et al.  Combined control and communication scheduling for constrained system using robust output feedback MPC , 2019, 2019 18th European Control Conference (ECC).

[19]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[20]  D. Limón,et al.  Input-to-State Stability: A Unifying Framework for Robust Model Predictive Control , 2009 .

[21]  Sebastian Trimpe,et al.  Distributed Event-Based State Estimation for Networked Systems: An LMI Approach , 2017, IEEE Transactions on Automatic Control.

[22]  Hong Ye,et al.  Scheduling of networked control systems , 2001 .

[23]  Rolf Findeisen,et al.  Robust output feedback predictive control with self-triggered measurements , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[24]  R. Findeisen,et al.  Fusing multiple time varying tubes for robust MPC , 2020 .

[25]  S. Raković Invention of Prediction Structures and Categorization of Robust MPC Syntheses , 2012 .

[26]  Frank Allgöwer,et al.  Rollout scheduling and control for disturbed systems via tube MPC* , 2020, 2020 59th IEEE Conference on Decision and Control (CDC).

[27]  Rolf Findeisen,et al.  Robust output feedback MPC for uncertain linear systems with reduced conservatism , 2017 .

[28]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[29]  Sandra Hirche,et al.  Optimal design of decentralized event-triggered controllers for large-scale systems with contention-based communication , 2011, IEEE Conference on Decision and Control and European Control Conference.

[30]  D. Q. Mayne,et al.  Robust and Stochastic MPC: Are We Going In The Right Direction? , 2015 .

[31]  David Q. Mayne,et al.  Robust and stochastic model predictive control: Are we going in the right direction? , 2016, Annu. Rev. Control..

[32]  Rolf Findeisen,et al.  Output feedback MPC with send-on-delta measurements for uncertain systems , 2016 .

[33]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[34]  Rolf Findeisen,et al.  Combined online communication scheduling and output feedback MPC of cyber-physical systems , 2019, 2019 16th IEEE Annual Consumer Communications & Networking Conference (CCNC).

[35]  Rolf Findeisen,et al.  Robust MPC with Reduced Conservatism Blending Multiples Tubes , 2020, 2020 American Control Conference (ACC).

[36]  Daniel E. Quevedo,et al.  Self-Triggered Model Predictive Control for Network Scheduling and Control , 2012 .

[37]  Luigi Chisci,et al.  Systems with persistent disturbances: predictive control with restricted constraints , 2001, Autom..

[38]  Frank Allgöwer,et al.  Predictive Control Over a Dynamical Token Bucket Network , 2019, IEEE Control Systems Letters.

[39]  Daniel E. Quevedo,et al.  Tradeoffs in Stochastic Event-Triggered Control , 2017, IEEE Transactions on Automatic Control.

[40]  Guido Herrmann,et al.  Scheduling of the FlexRay static segment for robust controller integration , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[41]  Paulo Tabuada,et al.  Guest Editorial Special Issue on Control of Cyber-Physical Systems , 2014, IEEE Trans. Autom. Control..

[42]  Daniel E. Quevedo,et al.  Predictive control, embedded cyberphysical systems and systems of systems - A perspective , 2016, Annu. Rev. Control..