Development of RMPC Algorithm for Compensation of Uncertain Time-Delay and Disturbance in NCS

Document Type : بنیادی - نظری


Shahrood University of technology



In this paper‎, ‎a synthesis method based on robust model predictive control is developed for compensation of uncertain time-delays in networked control systems with bounded disturbance‎. ‎The proposed method uses linear matrix inequalities and uncertainty polytope to model uncertain time-delays and system disturbances‎. ‎The continuous system with time-delay is discretized using uncertainty polytope‎. ‎Then‎, ‎the discretized model together with model disturbance is compensated‎. ‎Uncertain parameters and additive disturbances are included in the controller design explicitly and robust stability is guaranteed in this method‎. ‎The proposed method is applied to a level process‎. ‎It is simulated by applying conventional RMPC as well‎. ‎The simulation results show the effectiveness of the proposed method compared with the conventional algorithm of the RMPC\footnote{Robust Model Predictive Control} method.


‎Zhang X. M.‎, ‎Han Q‎. ‎L.‎, ‎Yu X‎. ‎(2016)‎. ‎``Survey on recent advances in networked control systems''‎, ‎IEEE Transactions on Industrial Informatics 12‎, ‎5‎, ‎1740--1752‎.
‎Hespanha J‎. ‎P.‎, ‎Naghshtabrizi P.‎, ‎Xu Y‎. ‎(2007)‎. ‎``A survey of recent results in networked control systems''‎, ‎Proceedings of the IEEE 95‎, ‎1‎, ‎138--162‎.
‎Tipsuwan Y.‎, ‎Chow M. Y. J. C‎. ‎e‎. ‎p‎. ‎(2003)‎. ‎``Control methodologies in networked control systems''‎, ‎Control engineering practice 11‎, ‎10‎, ‎1099--1111‎.
‎Vatanski N.‎, ‎Georges J. P.‎, ‎Aubrun C.‎, ‎Rondeau E.‎, ‎J"{a}ms"{a}-Jounela S. L. J. C. E. P‎. ‎(2009)‎. ‎``Networked control with delay measurement and estimation''‎, ‎Control engineering practice 17‎, ‎2‎, ‎231--244‎.
‎Li Q.‎, ‎Jiang J.‎, ‎Rankin D‎. ‎J‎. ‎(2011)‎. ‎``Evaluation of delays induced by profibus pa networks''‎, ‎IEEE Transactions on Instrumentation and Measurement 60‎, ‎8‎, ‎2910--2917‎.
‎Yu X.‎, ‎Jiang J‎. ‎(2014)‎. ‎``Analysis and compensation of delays in $ff h1$ fieldbus control loop using model predictive control''‎, ‎IEEE Transactions on Instrumentation and Measurement 63‎, ‎10‎, ‎2432--2446‎.
‎Li Q.‎, ‎Rankin D‎. ‎J.‎, ‎Jiang J‎. ‎(2009)‎. ‎``Evaluation of delays induced by foundation fieldbus $h1$ networks''‎, ‎IEEE Transactions on Instrumentation and Measurement 58‎, ‎10‎, ‎3684‎.
‎Zheng Y.‎, ‎Li S.‎, ‎Li N‎. ‎(2011)‎. ‎``Distributed model predictive control over network information exchange for large-scale systems''‎, ‎Control engineering practice 19‎, ‎7‎, ‎757--769‎.
‎Caldieri M. R.‎, ‎Bigheti J. A.‎, ‎Godoy E. P‎. ‎(2017)‎. ‎``Implementation and evaluation of wireless networked control systems using modbus''‎, ‎IEEE Latin America Transactions 15‎, ‎2‎, ‎206--212‎.
‎Caruntu C. F.‎, ‎Lazar M.‎, ‎Gielen R. H.‎, ‎Van den Bosch P.‎, ‎Di Cairano S.J.C.E.P‎. ‎(2013)‎. ‎``Lyapunov based predictive control of vehicle drivetrains over can''‎, ‎Control engineering practice 21‎, ‎12‎, ‎1884--1898‎.
‎Ding B‎. ‎(2011)‎. ‎``Stabilization of linear systems over networks with bounded packet loss and its use in model predictive control''‎, ‎Automatica 47‎, ‎11‎, ‎2526--2533‎.
‎Liu G.‎, ‎Mu J.‎, ‎Rees D.‎, ‎Chai S‎. ‎(2006)‎. ‎``Design and stability analysis of networked control systems with random communication time delay using the modified mpc''‎, ‎International Journal of Control 79‎, ‎4‎, ‎288--297‎.
‎Pang Z. H.‎, ‎Liu G. P.‎, ‎Zhou D.‎, ‎Sun D‎. ‎(2016)‎. ‎``Data-based predictive control for networked nonlinear systems with network-induced delay and packet dropout''‎, ‎IEEE Transactions on Industrial Electronics 63‎, ‎2‎, ‎1249--1257‎.
‎Zhang Y.‎, ‎Li S‎. ‎(2007)‎. ‎``Networked model predictive control based on neighbourhood optimization for serially connected large-scale processes''‎, ‎Journal of process control 17‎, ‎1‎, ‎37--50‎.
‎Lee K. C.‎, ‎Lee S.‎, ‎Lee M. H‎. ‎(2006)‎. ‎``Worst case communication delay of real-time industrial switched ethernet with multiple levels''‎, ‎IEEE Transactions on Industrial Electronics 53‎, ‎5‎, ‎1669--1676‎.
‎Huang G.‎, ‎Wang S‎. ‎(2009)‎. ‎``Use of uncertainty polytope to describe constraint processes with uncertain time-delay for robust model predictive control applications''‎, ‎ISA transactions 48‎, ‎4‎, ‎503--511‎.
‎Seiler P.‎, ‎Sengupta R‎. ‎(2005)‎. ‎``An h∞ approach to networked control''‎, ‎IEEE Transactions on Automatic Control 50‎, ‎3‎, ‎356--364‎.
‎Gao H.‎, ‎Chen T‎. ‎(2008)‎. ‎``Network-based h∞ output tracking control''‎, ‎IEEE Transactions on Automatic control 53‎, ‎3‎, ‎655--667‎.
‎Elahi A.‎, ‎Alfi A‎. ‎(2017)‎. ‎``Finite-time h∞ control of uncertain networked control systems with randomly varying communication delays''‎, ‎ISA transactions 69‎, ‎65--88‎.
‎Tutsoy O.‎, ‎Barkana D. E.‎, ‎Tugal H‎. ‎(2018)‎. ‎``Design of a completely model free adaptive control in the presence of parametric''‎, ‎non-parametric uncertainties and random control signal delay‎, ‎ISA transactions 76‎, ‎67--77‎.
‎Yong-Yan C.‎, ‎Lam J‎. ‎(2000)‎. ‎``Robust h∞ control of uncertain markovian jump systems with time-delay''‎, ‎IEEE transactions on automatic control 45‎, ‎77--83‎.
‎Li M.‎, ‎Chen Y‎. ‎(2017)‎. ‎``Robust tracking control of networked control systems with communication constraints and external disturbance''‎, ‎IEEE Transactions on Industrial Electronics 64‎, ‎5‎, ‎4037--4047‎.
‎Caruntu C. F.‎, ‎Rafaila R. C‎. ‎(2017)‎. ‎``Robust mpc for networked control systems with data-packet dropouts modeled as disturbances''‎, ‎2017 21st International Conference on System Theory‎, ‎Control and Computing (ICSTCC)‎, ‎IEEE‎, ‎$p.^{}pp$‎. ‎152--157‎.
‎Bumroongsri P.‎, ‎Duangsri S‎. ‎(2014)‎. ‎``Robust model predictive control of linear time-varying systems with bounded disturbances''‎, ‎International Journal of Chemical Engineering and Applications 5‎, ‎3‎, ‎210‎.
‎He N.‎, ‎Shi D‎. ‎(2015)‎. ‎``Event-based robust sampled-data model predictive control‎: ‎A non-monotonic lyapunov function approach''‎, ‎IEEE Transactions on Circuits and Systems I‎: ‎Regular Papers 62‎, ‎10‎, ‎2555--2564‎.
‎Brunner F. D.‎, ‎Heemels W.‎, ‎Allgِwer F‎. ‎(2017)‎. ‎``Robust event-triggered mpc with guaranteed asymptotic bound and average sampling rate''‎, ‎IEEE Transactions on Automatic Control 62‎, ‎11‎, ‎5694--5709‎.
‎$mathring{A}$str"{o}m K. J‎. , ‎Wittenmark B‎. ‎(1996)‎. ‎``Computer-controlled systems‎: ‎Theory and design‎, ‎Courier Corporation''‎, ‎2013‎.
‎Kothare M. V.‎, ‎Balakrishnan V.‎, ‎Morari M‎. ‎(1996)‎. ‎``Robust constrained model predictive control using linear matrix inequalities''‎, ‎Automatica 32‎, ‎10‎, ‎1361--1379‎.
‎Boyd S.‎, ‎Vandenberghe L‎. ‎(2004)‎. ‎``Convex optimization''‎, ‎Cambridge university press‎.