Control-Scheduling Codesign for NCS based Fuzzy Systems

Authors

  • Paul Erick Mendez-Monroy IIMAS-Merida Universidad Nacional Autonoma de Mexico, Parque Cientifico y Tecnologico de Yucatan, 5.5Km Carretera Sierra Papacal - Chuburna, C.P. 97302 Sierra Papacal, Yucatan, Mexico
  • Israel Sanchez Dominguez IIMAS-Merida Universidad Nacional Autonoma de Mexico, Parque Cientifico y Tecnologico de Yucatan, 5.5Km Carretera Sierra Papacal - Chuburna, C.P. 97302 Sierra Papacal, Yucatan, Mexico
  • Ali Bassam Facultad de Ingenieria, Universidad Autonoma de Yucatan, Av. Industrias no Contaminantes, Apdo. Postal 150 Merida, Yucatan, Mexico
  • Oscar May Tzuc Facultad de Ingenieria, Universidad Autonoma de Yucatan, Av. Industrias no Contaminantes, Apdo. Postal 150 Merida, Yucatan, Mexico

Keywords:

codesign, dynamic scheduling, fuzzy control, networked control system

Abstract

In the present paper, a fuzzy codesign approach is proposed to deal with the controller and scheduler design for a networked control system which is physically distributed with a shared communication network. The proposed fuzzy controller is applied to generate the control with different sampling-actuation periods, the configuration supposes a strict actuation period disappears the jitter. The proposed fuzzy scheduling is designed to select the sampling-actuation period. So, the fuzzy codesign reduces the rate of transmission when the system is stable through the scheduler while the controller adjusts the control signal. The fuzzy codesign guarantees the stability of all the system if the network uncertainties do not exceed an upper bound and is a low computational cost method implemented with an embedded system. An unstable, nonlinear system is used to evaluate the proposed approach and compared to a hybrid control, the results show greater robustness to multiple lost packets and time delays much larger than the sampling period. (This paper is an extension of [20]. Reprinted (partial) and extended, with permission based on License Number 4275590998661 IEEE, from "Electrical Engineering, Computing Science and Automatic Control, 2017 14th International Conference on")

References

Albertos, P.; Crespo, A. (1999); Real-time control of non-uniformly sampled systems, Control Engineering Practice, 7(4), 445-458, 1999. https://doi.org/10.1016/S0967-0661(99)00005-2

Astrom, K.J. (2007); Event Based Control, In Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori, Springer Verlag, 2007.

Benitez-Perez, H. et al. (2016); A Fuzzy Networked Control System Following Frequency Transmission Strategy, International Journal of Computers Communications & Control, 11(1), 11-25, 2016.

Chae, S.; Nguang, S. K. (2014); SOS based robust H1 fuzzy dynamic output feedback control of nonlinear networked control systems, IEEE Trans. Cybern., 44(7), 1204-1213, 2014. https://doi.org/10.1109/TCYB.2013.2281458

Chai, S.; Liu, G.P.; Rees, D.; Xia Y. (2008); Design and practical implementation of internetbased predictive control of a servo system, IEEE Trans. on Control Systems Technology, 16(1), 158-168, 2008. https://doi.org/10.1109/TCST.2007.903095

Chow, M.-Y.; Tipsuwan, Y. (2003); Gain adaptation of networked DC motor controllers based on QoS variations, IEEE Trans. on Industrial Electronics, 50(5), 936-943, 2003. https://doi.org/10.1109/TIE.2003.817576

Du, D. (2012); Reliable H1 control for Takagi-Sugeno fuzzy systems with intermittent measurements, Nonlinear Analysis: Hybrid Systems, 6(4), 930-941, 2012. https://doi.org/10.1016/j.nahs.2012.05.002

Guan, X.P.; Chen, C. L. (2004); Delay-dependent guaranteed cost control for TS fuzzy systems with time delays, IEEE transactions on fuzzy systems, 12(2), 236-249, 2004. https://doi.org/10.1109/TFUZZ.2004.825085

Hespanha, J.; Naghshtabrizi, P.; Xu, Y. (2007); A survey of recent results in networked control systems, Proc. IEEE, 138-162, 2007.

Hu, H.; Liu, G.; Rees, D. (2007); Event-driven networked predictive control, IEEE Transactions on Industrial Electronics, 54(3), 1603- 1613, 2007. https://doi.org/10.1109/TIE.2007.894720

Ji, K.; Kim, W.J. (2007); Stochastic optimal control and network co-design for networked control systems, International Journal of Control, Automation and Systems, 5(5), 515-525, 2007.

Ji, K.; Kim, W.J. (2007); Robust control for networked control systems with admissible parameter uncertainties, International Journal of Control, Automation and Systems, 5(4), 372-378, 2007.

Li, H.; Sun, Z.; Liu, H.; Chow, M.Y. (2008); Predictive observer-based control for networked control systems with network-induced delay and packet dropout, Asian Journal of Control, 10(6), 1-3, 2008.

Li, K.; Baillieul, J. (2004); Robust quantization for digital finite communication bandwidth (DFCB) control, IEEE Trans. on Automatic Control, 49(9), 1573-1584, 2004. https://doi.org/10.1109/TAC.2004.834106

Li, H.; Wu, C.; Feng, Z. (2015); Fuzzy dynamic output-feedback control of non-linear networked discrete-time system with missing measurements, IET Control Theory and Applications, 9(3), 327-335, 2015. https://doi.org/10.1049/iet-cta.2014.0410

Lozoya, C.; Marti, P.; Velasco, M.; Fuertes, J.M. (2008); Control Performance Evaluation of Selected Methods of Feedback Scheduling of Real-time Control Tasks, 17th IFAC World Congress, July, 2008.

Marti, P.; Velasco, M. (2007); Toward Flexible Scheduling of Real-Time Control Tasks: Reviewing Basic Control Models, 10th International Conference on Hybrid Systems, Computation and Control, LNCS, 2007.

Mendez-Monroy, P.E.; Velasco, M.; Fuertes, J.M.; Benitez-Perez, H. (2012); Fuzzy observer based Fault Detection for Network Control Systems with Periodic Actuation Tasks, 8th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes (SafeProcess 2012), 2012.

Mendez-Monroy, P. E.; Benitez-Perez, H. (2011); Fuzzy control with estimated variable sampling period for non-linear networked control systems: 2-DOF helicopter as case study, Transactions of the Institute of Measurement and Control, 34(7), 802-814, 2011.

Mendez-Monroy, P. E. (2017); Fuzzy codesign for networked control systems, 14th International Conference on Electrical Engineering, Computing Science and Automatic Control, DOI: 10.1109/ICEEE.2017.8108887, 2017. https://doi.org/10.1109/ICEEE.2017.8108887

Montestruque, L.A.; Antsaklis, P.K. (2007); Static and dynamic quantization in model-based networked control systems, International Journal of Control, 80(1), 87-101, 2007. https://doi.org/10.1080/00207170600931663

Nilsson, J.; Bernhardsson, B.; Wittenmark, B. (1998); Stochastic analysis and control of real-time systems with random time delays, Automatica, 34(5), 57-64, 1998.

Park, J.; Kim, J.; Park, D. (2001); LMI-based design of stabilizing fuzzy controllers for nonlinear systems described by Takagi-Sugeno fuzzy model, Fuzzy Sets and Systems, 122, 73-82, 2001. https://doi.org/10.1016/S0165-0114(00)00050-6

Peng, C.; Yang, T.C. (2010); Communication-delay-distribution-dependent networked control for a class of T-S fuzzy systems, IEEE Transaction on Fuzzy Systems, 18(2), 326-335, 2010. https://doi.org/10.1109/TFUZZ.2010.2041354

Seiler, P.; Sengupta, R. (2005); An H1 approach to networked control, IEEE Transaction on Automatic Control, 50(3), 356-364, 2005. https://doi.org/10.1109/TAC.2005.844177

Tanaka, K.; Wang, H. O. (2001); Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, Wiley & Sons, Inc., 2001. https://doi.org/10.1002/0471224596

Tipsuwan, Y.; Chow, M.Y. (2003); Control methodologies in networked control systems, Control Engineering Practice, 11, 1099-1111, 2003. https://doi.org/10.1016/S0967-0661(03)00036-4

Tipsuwan, Y.; Chow, M. Y. (2004); On the Gain Scheduling for Networked PI Controller Over IP Network, IEEE/ASME Transaction Mechatronics, 9(3), 491-498, 2004. https://doi.org/10.1109/TMECH.2004.834645

Tong, S.W.; Qian, D.W.; Liu, G.P. (2014); Networked Predictive Fuzzy Control of Systems with Forward Channel Delays Based on a Linear Model Predictor, International Journal of Computers Comnunications & Control, 9(4), 471-481, 2014. https://doi.org/10.15837/ijccc.2014.4.227

Yi, H.C.; An C.J.; Choi J.Y. (2017); Compensation of Time-Varying Delay in Networked Control System over Wi-Fi Network, International Journal of Computers Comnunications & Control, 12(3), 415-428, 2017. https://doi.org/10.15837/ijccc.2017.3.2617

Yu, M.; Wang, L.; Chu, T.G., Xie, G.M. (2004); Stabilization of networked control systems with data packet dropout and network delays via switching system approach, Proc. of the 43th IEEE Conference on Decision and Control, 3539-3544, 2004.

Zhang, W.; Branicky, M.S.; Phillips, S.M. (2001); Stability of networked control systems, IEEE Cont. Sys. Mag., 21(1), 84-99, 2001. https://doi.org/10.1109/37.898794

Zhang, H.; Duan, G.; Xie, L. (2007); Linear quadratic regulation for linear time-varying systems with multiple input delays, Automatica, 42(9), 1465-1476, 2007.

Zhao, Y.; Gao, H.; Chen, T. (2010); Fuzzy constrained predictive control of non-linear systems with packet dropouts, IET control theory and applications, 4(9), 1665-1677, 2010. https://doi.org/10.1049/iet-cta.2009.0274

Published

2018-04-13

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