Stochastic MPC with applications to process control

This paper presents a model predictive control formulation for Networked Control Systems subject to independent and identically distributed delays and packet dropouts. The design takes into account the presence of a communication network in the control loop, resorting to a buffer at the actuator side to store and consistently apply delayed control sequences when fresh control inputs are not available. The proposed approach uses a statistical description of transmissions to optimise the expected future control performance conditioned upon the current system state, previously calculated control packets and transmission acknowledgements. Experimental studies using a quadruple tank process illustrate the applicability of the method to process control.

[1]  Daniel E. Quevedo,et al.  Packetized Predictive Control of Stochastic Systems Over Bit-Rate Limited Channels With Packet Loss , 2011, IEEE Transactions on Automatic Control.

[2]  Ivan Stojmenovic,et al.  Guest Editorial Special Issue on Wireless Sensor and Actuator Networks , 2011 .

[3]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[4]  Marco F. Huber,et al.  Stochastic Nonlinear Model Predictive Control based on Gaussian Mixture Approximations , 2009 .

[5]  Daniel E. Quevedo,et al.  Input-to-State Stability of Packetized Predictive Control Over Unreliable Networks Affected by Packet-Dropouts , 2011, IEEE Transactions on Automatic Control.

[6]  Carlos Vivas,et al.  Networked predictive control of systems with data dropouts , 2008, 2008 47th IEEE Conference on Decision and Control.

[7]  Karl Henrik Johansson,et al.  The quadruple-tank process: a multivariable laboratory process with an adjustable zero , 2000, IEEE Trans. Control. Syst. Technol..

[8]  David Levy,et al.  Configuring the Worst-Case Communication Delay in Real-Time Networked Control Systems , 2007, ESA.

[9]  Panagiotis D. Christofides,et al.  Lyapunov-Based Model Predictive Control of Nonlinear Systems Subject to Data Losses , 2007, IEEE Transactions on Automatic Control.

[10]  Uwe D. Hanebeck,et al.  Stochastic model predictive control of time-variant nonlinear systems with imperfect state information , 2008, 2008 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems.

[11]  Uwe D. Hanebeck,et al.  Sequence-based control for networked control systems based on virtual control inputs , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[12]  Daniel E. Quevedo,et al.  Stability of Sequence-Based Control With Random Delays and Dropouts , 2014, IEEE Transactions on Automatic Control.

[13]  Clarence W. de Silva,et al.  Stability validation of a constrained model predictive networked control system with future input buffering , 2007, Int. J. Control.

[14]  Arshad Iqbal,et al.  Network Traffic Analysis and Intrusion Detection Using Packet Sniffer , 2010, 2010 Second International Conference on Communication Software and Networks.

[15]  Daniel E. Quevedo,et al.  Adaptive Controller Placement for Wireless Sensor-Actuator Networks with Erasure Channels , 2013, Autom..

[16]  F. Billari,et al.  does it matter? , 2007 .

[17]  Harold Chestnut.  The International Federation of Automatic Control , 1960 .

[18]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[20]  Daniel Lyons,et al.  Robust model predictive control with least favorable measurements , 2010, 2010 IEEE Conference on Multisensor Fusion and Integration.

[21]  David L. Neuhoff,et al.  The validity of the additive noise model for uniform scalar quantizers , 2005, IEEE Transactions on Information Theory.

[22]  Sandro Zampieri,et al.  Trends in Networked Control Systems , 2008 .

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

[24]  Christopher Crossman,et al.  Sensor and Actuator Networks: Protecting Environmentally Sensitive Areas , 2009, IEEE Pervasive Computing.

[25]  Vivek K Goyal.  High-rate transform coding: how high is high, and does it matter? , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[26]  Huiping Li,et al.  Networked min–max model predictive control of constrained nonlinear systems with delays and packet dropouts , 2013, Int. J. Control.

[27]  Francisco R. Rubio,et al.  Formation Control of Autonomous Underwater Vehicles Subject to Communication Delays , 2014 .