Multi-objective optimization framework for networked predictive controller design.

Networked Control Systems (NCSs) often suffer from random packet dropouts which deteriorate overall system's stability and performance. To handle the ill effects of random packet losses in feedback control systems, closed over communication network, a state feedback controller with predictive gains has been designed. To achieve improved performance, an optimization based controller design framework has been proposed in this paper with Linear Matrix Inequality (LMI) constraints, to ensure guaranteed stability. Different conflicting objective functions have been optimized with Non-dominated Sorting Genetic Algorithm-II (NSGA-II). The methodology proposed in this paper not only gives guaranteed closed loop stability in the sense of Lyapunov, even in the presence of random packet losses, but also gives an optimization trade-off between two conflicting time domain control objectives.

[1]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[2]  Koan-Yuh Chang,et al.  MULTI-OBJECTIVE CONTROL DESIGN FOR STOCHASTIC LARGE-SCALE SYSTEMS BASED ON LMI APPROACH AND SLIDING MODE CONTROL CONCEPT , 2021 .

[3]  Hu Shousong,et al.  Brief Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003 .

[4]  Mo-Yuen Chow,et al.  Gain scheduler middleware: a methodology to enable existing controllers for networked control and teleoperation - part I: networked control , 2004, IEEE Transactions on Industrial Electronics.

[5]  Panagiotis D. Christofides,et al.  Handling Communication Disruptions in Distributed Model Predictive Control , 2010 .

[6]  James Lam,et al.  Stabilization of linear systems over networks with bounded packet loss , 2007, Autom..

[7]  R. Braatz,et al.  A tutorial on linear and bilinear matrix inequalities , 2000 .

[8]  Adrian Gambier,et al.  Digital PID controller design based on parametric optimization , 2008, 2008 IEEE International Conference on Control Applications.

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

[10]  Mo-Yuen Chow,et al.  EDA-Based Speed Control of a Networked DC Motor System With Time Delays and Packet Losses , 2009, IEEE Transactions on Industrial Electronics.

[11]  Adrian Gambier Performance evaluation of several multi-objective optimization methods for control purposes , 2011, 2011 8th Asian Control Conference (ASCC).

[12]  Songlin Hu,et al.  Event-triggered control design of linear networked systems with quantizations. , 2012, ISA transactions.

[13]  W. P. M. H. Heemels,et al.  Controller synthesis for networked control systems , 2010, Autom..

[14]  Javad Poshtan,et al.  Novel system identification method and multi-objective-optimal multivariable disturbance observer for electric wheelchair. , 2013, ISA transactions.

[15]  Suk Lee,et al.  QoS-based remote control of networked control systems via Profibus token passing protocol , 2005, IEEE Trans. Ind. Informatics.

[16]  Adrian Gambier,et al.  Multi-objective Optimal Control: An Overview , 2007, 2007 IEEE International Conference on Control Applications.

[17]  Junwei Lu,et al.  Observer-based H(infinity) control for networked nonlinear systems with random packet losses. , 2010, ISA transactions.

[18]  Saptarshi Das,et al.  Handling Packet Dropouts and Random Delays for Unstable Delayed Processes in NCS by Optimal Tuning of PIλDμ Controllers with Evolutionary Algorithms , 2011, ISA transactions.

[19]  Panagiotis D. Christofides,et al.  Handling communication disruptions in distributed model predictive control , 2011 .

[20]  Saptarshi Das,et al.  Tuning of an optimal fuzzy PID controller with stochastic algorithms for networked control systems with random time delay. , 2011, ISA transactions.

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

[22]  Zeng-qi Sun,et al.  Stabilization of networked control systems with time delay and packet dropout - part I , 2007, 2007 IEEE International Conference on Automation and Logistics.

[23]  Qingling Zhang,et al.  Real-time guaranteed cost control of MIMO networked control systems with packet disordering , 2011 .

[24]  Jian Huang,et al.  Robust stability conditions for remote SISO DMC controller in networked control systems , 2009 .

[25]  Junmi Li,et al.  Delay-dependent fuzzy static output feedback control for discrete-time fuzzy stochastic systems with distributed time-varying delays. , 2012, ISA transactions.

[26]  Qixin Zhu,et al.  Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003, Autom..

[27]  Jian Zhang,et al.  Real-time random delay compensation with prediction-based digital redesign. , 2011, ISA transactions.

[28]  Peter J. Fleming,et al.  Evolutionary algorithms in control systems engineering: a survey , 2002 .

[29]  Miguel Strefezza,et al.  Multi-objective Pole Placement with Evolutionary Algorithms , 2007, EMO.

[30]  Amitava Gupta,et al.  Stabilizing Gain Selection of Networked Variable Gain Controller to Maximize Robustness Using Particle Swarm Optimization , 2011, 2011 International Conference on Process Automation, Control and Computing.

[31]  T. Thyagarajan,et al.  Eigenstructure assignment based Multiobjective Dynamic State feedback controller design for MIMO system using NSGA-II , 2010, Proceedings of the 2010 International Conference on Modelling, Identification and Control.

[32]  D. Rees,et al.  Design of robust networked predictive control systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[33]  Mo-Yuen Chow,et al.  Optimal Stabilizing Gain Selection for Networked Control Systems With Time Delays and Packet Losses , 2009, IEEE Transactions on Control Systems Technology.

[34]  Marie-Ange Bueno,et al.  Robust control strategies for an electric motor driven accumulator with elastic webs. , 2012, ISA transactions.

[35]  David W. Coit,et al.  Multi-objective optimization using genetic algorithms: A tutorial , 2006, Reliab. Eng. Syst. Saf..

[36]  Panos J. Antsaklis,et al.  Control and Communication Challenges in Networked Real-Time Systems , 2007, Proceedings of the IEEE.

[37]  Junwei Lu,et al.  Observer-based H ∞ control for networked nonlinear systems with random packet losses , 2009 .

[38]  Shantanu Das,et al.  Improved Model Reduction and Tuning of Fractional Order PIλDμ Controllers for Analytical Rule Extraction with Genetic Programming , 2012, ISA transactions.

[39]  Li Yu,et al.  One-step receding horizon H(∞) control for networked control systems with random delay and packet disordering. , 2011, ISA transactions.

[40]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[41]  Mikkel T. Jensen,et al.  Reducing the run-time complexity of multiobjective EAs: The NSGA-II and other algorithms , 2003, IEEE Trans. Evol. Comput..

[42]  Bin Wang,et al.  Robust fault detection for nonlinear networked systems with stochastic interval delay characteristics. , 2011, ISA transactions.

[43]  A. Gambier,et al.  MPC and PID control based on Multi-Objective Optimization , 2008, 2008 American Control Conference.

[44]  Adrian Gambier,et al.  Multi-objective optimal control: An introduction , 2011, 2011 8th Asian Control Conference (ASCC).

[45]  Mo-Yuen Chow,et al.  State feedback stabilisation of networked control systems , 2009 .

[46]  Alberto Herreros,et al.  MRCD: a genetic algorithm for multiobjective robust control design ☆ , 2002 .