Abstract
In this paper, a new method is proposed to design a decentralized \(H_\infty \) dynamic output feedback controller for a class of large scale event-triggered networked control systems. The networked control system is modeled based on a modified event-triggered scheme. In addition to the time interval between triggers, the characteristics of network communication are also considered. The time delay and packet loss are two important phenomena and are inevitable in networked control systems. A time delay model is presented to collect all types of delay and packet loss in the event-triggered networked control system. Also, dynamic delays between subsystems are considered. Based on this model, some new sufficient conditions are given to guarantee the stability and the \(H_\infty \) performance, based on LKF and integral estimation. The mixed Wirtinger–Jensen inequality is proposed to derive less conservative synthesis conditions in terms of linear matrix inequalities. A decentralized event-triggered dynamic output feedback controller is designed based on the required stability conditions. Simulation results of a two coupled inverted pendulum and continuous stirred-tank reactors show the effectiveness of the proposed method, which guarantees the asymptotical stability with less number of data packets and the more maximum allowable time interval between packet releases, in comparison with the common networked control schemes.
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References
Liu Q, Wang Z, He X, Zhou D (2014) A survey of event-based strategies on control and estimation. Syst Sci Control Eng Open Access J 2:90–97
Azimi MM, Afzalian AA, Ghaderi R (2018) Robust decentralised state feedback control design for large-scale networked control system. Int J Syst Sci 49:1809–1820
Zhang X-M, Han Q-L, Zhang B-L (2017) An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems. IEEE Trans Ind Inform 13:4–16
Heemels W, Johansson KH, Tabuada P (2012) An introduction to event-triggered and self-triggered control. In: 2012 IEEE 51st annual conference on decision and control (CDC), pp 3270–3285
Lemmon M (2010) Event-triggered feedback in control, estimation, and optimization. In: Bemporad A, Heemels M, Johansson M (eds) Networked control systems. Lecture Notes in Control and Information Sciences, vol 406. Springer, London, pp 293–358
Peng C, Han Q-L (2013) A novel event-triggered transmission scheme and control co-design for sampled-data control systems. IEEE Trans Autom Control 58:2620–2626
Peng C, Yang TC (2013) Event-triggered communication and \(H_\infty \) control co-design for networked control systems. Automatica 49:1326–1332
Yue D, Tian E, Han Q-L (2013) A delay system method for designing event-triggered controllers of networked control systems. IEEE Trans Autom Control 58:475–481
Yan S, Shen M, Zhang G (2016) Extended event-driven observer-based output control of networked control systems. Nonlinear Dyn 86:1639–1648
Lin Y, Han Q-L, Yang F, Jarvis D (2013) Event-triggered \(H_\infty \) filtering for networked systems based on network dynamics. In: Industrial Electronics Society, IECON 2013—39th annual conference of the IEEE, pp 5638–5643
Azimi MM, Afzalian AA, Ghaderi R (2020) Decentralized output feedback stabilization based on modified event-trigger scheme for load frequency control of an interconnected microgrid. Iran J Sci Technol Trans Electr Eng (in press)
Zhang X-M, Han Q-L (2014) Event-triggered dynamic output feedback control for networked control systems. IET Control Theory Appl 8:226–234
Li L, Zou W, Fei S (2017) Event-based dynamic output-feedback controller design for networked control systems with sensor and actuator saturations. J Frankl Inst 354:4331–4352
Aranda-Escolástico E, Rodríguez C, Guinaldo M, Guzmán JL, Dormido S (2018) Asynchronous periodic event-triggered control with dynamical controllers. J Frankl Inst 355:3455–3469
Gu Z, Huan Z, Yue D, Yang F (2018) Event-triggered dynamic output feedback control for networked control systems with probabilistic nonlinearities. Inf Sci 457:99–112
Zhou X, Gu Z, Yang F (2019) Resilient event-triggered output feedback control for load frequency control systems subject to cyber attacks. IEEE Access 7:58951–58958
Liu C, Hao F (2015) Dynamic output-feedback control for linear systems by using event-triggered quantisation. IET Control Theory Appl 9:1254–1263
Garcia E, Antsaklis PJ (2012) Decentralized model-based event-triggered control of networked systems. In: American control conference (ACC), pp 6485–6490
Peng C, Li J, Fei M (2016) Resilient event-triggering \(H_\infty \) load frequency control for multi-area power systems with energy-limited DoS attacks. IEEE Trans Power Syst 32:4110–4118
Mahmoud MS, Sabih M, Elshafei M (2016) Event-triggered output feedback control for distributed networked systems. ISA Trans 60:294–302
Guan Y, Han Q-L, Peng C (2013) Decentralized event-triggered control for sampled-data systems with asynchronous sampling. In: American control conference (ACC), pp 6565–6570
Dahiya P, Mukhija P, Saxena AR (2018) Design of sampled data and event-triggered load frequency controller for isolated hybrid power system. Int J Electr Power Energy Syst 100:331–349
Wen S, Yu X, Zeng Z, Wang J (2015) Event-triggering load frequency control for multi-area power systems with communication delays. IEEE Trans Ind Electron 63:1308–1317
Li F, Fu J, Du D (2016) A novel decentralised event-triggered L\(\infty \) control for network control systems with communication delays. Int J Syst Sci 47(13):3098–3115
Yang T, Peng C, Yue D-W, Fei M (2010) New study of controller design for networked control systems. Control Theory Appl IET 4:1109–1121
Zeng H-B, He Y, Wu M, She J (2015) Free-matrix-based integral inequality for stability analysis of systems with time-varying delay. IEEE Trans Autom Control 60:2768–2772
Zhang C-K, He Y, Jiang L, Wu M, Wang Q-G (2017) An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay. Automatica 85:481–485
Liu D, Yang G-H (2019) Decentralized event-triggered output feedback control for a class of interconnected large-scale systems. ISA Trans 93:156–164
Shahid MI, Ling Q (2020) Event-triggered distributed dynamic output-feedback dissipative control of multi-weighted and multi-delayed large-scale systems. ISA Trans 96:116–131
Sun Y, El-Farra NH (2008) Quasi-decentralized model-based networked control of process systems. Comput Chem Eng 32:2016–2029
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Azimi, M.M., Afzalian, A.A. & Ghaderi, R. Decentralized stabilization of a class of large scale networked control systems based on modified event-triggered scheme. Int. J. Dynam. Control 9, 149–159 (2021). https://doi.org/10.1007/s40435-020-00649-4
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DOI: https://doi.org/10.1007/s40435-020-00649-4