Abstract
This paper is aimed at investigating the problem of mixed time/event-triggered finite-time non-fragile filtering for nonlinear networked control systems with delay. First, a fuzzy nonlinear networked control system model is established by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model, the designed non-fragile filter resolves the filter parameter uncertainties and uses different membership functions from the IT2 T-S fuzzy model. Second, a novel mixed time/event-triggered transmission mechanism is proposed, which decreases the waste of network resources. Next, Bernoulli random variables are used to describe the cases of random switching mixed time/event-triggered transmission mechanism. Then, the error filtering system is designed by considering a Lyapunov function and a sufficient condition of finite-time boundedness. In addition, the existence conditions for the finite-time non-fragile filter are given by the linear matrix inequalities (LMIs). Finally, two simulation results are presented to prove the effectiveness of the obtained method.
Similar content being viewed by others
References
M. J. Park, O. M. Kwon, J. H. Ryu. Generalized integral inequality: Application to time-delay systems. Applied Mathematics Letters, 2018, 77: 6–12.
M. Zhang, P. Shi, Z. Liu, et al. H∞ filtering for discrete-time witched fuzzy systems with randomly occurring time-varying delay and packet dropouts. Signal Processing, 2018, 143: 320–327.
X. Xiao, J. H. Park, L. Zhou. Event-triggered control of discretetime switched linear systems with packet losses. Applied Mathematics and Computation, 2018, 333: 344–3528.
H. Zhang, H. Zhang. Kalman federal filtering algorithm of UAV fault-tolerant integrated navigation. International Journal of Applied Mathematics in Control Engineering, 2019, 2(1): 100–106.
T. Takagi, M. Sugeno. Fuzzy identification of systems and its applications to modelling and control. IEEE Transactions on Systems, Man and Cybernetics, 1985, 15(1): 116–132.
J. Liu, Q. Liu, J. Cao, et al. Adaptive event-triggered H∞ filtering for T-S fuzzy system with time delay. Neurocomputing, 2016, 189: 86–94.
C. Han, L. Wu, H. K. Lam, et al. Nonfragile control with guaranteed cost of T-S fuzzy singular systems based on parallel distributed compensation. IEEE Transactions on Fuzzy Systems, 2014, 22(5): 1183–1196.
H. Li, C. Wu, S. Yin, et al. Observer-based fuzzy control for nonlinear networked systems under unmeasurable premise variables. IEEE Transactions on Fuzzy Systems, 2015, 24(5): 1233–1245.
M. Liu, A. X. Pang, A. P. Pang, et al. Delay-range-dependent robust H∞ control method for a linear parameter varying uncertain system with actuator saturation and state delay. International Journal of Applied Mathematics in Control Engineering, 2018, 2: 47–54.
J. Qiu, H. Gao, S. Ding. Recent advances on fuzzy-model-based nonlinear networked control systems: A survey. IEEE Transactions on Industrial Electronics, 2015, 63(2): 1207–1217.
T. Youssef, M. Chadli, H. R. Karimi, et al. Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model. Journal of the Franklin Institute, 2017, 354(6): 2524–2542.
H. Xiao, Y. He, M. Wu, et al. New results on tracking control based on the T-S fuzzy model for sampled-data networked control system. IEEE Transactions on Fuzzy Systems, 2015, 23(6): 2439–2448.
D. Zhang, F. Yang, C. Yu, et al. Robust fuzzy-model-based filtering for nonlinear networked systems with energy constraints. Journal of the Franklin Institute, 2017, 354(4): 1957–1973.
J. Liu, L. Zha, X. Xie, et al. Resilient observer-based control for networked nonlinear T-S fuzzy systems with hybrid-triggered scheme. Nonlinear Dynamics, 2018, 91(3): 2049–2061.
X. Li. W. Wang, J. Xu, et al. A Stackelberg strategy for continuous-time mixed H2/H∞ control problem with time delay. Control Theory and Technology, 2018, 16(3): 191–202.
M. Hirata, S. Ishizuki, M. Suzuki. Two-degree-of-freedom H∞ control of combustion in diesel engine using a discrete dynamics mode. Control Theory and Technology, 2017, 15(2): 109–116.
H. K. Lam. Stability analysis of T-S fuzzy control systems using parameter-dependent Lyapunov function. IET Control Theory and Applications, 2009, 3(6): 750–762.
X. Xu, H. Yan, H. Zhang, et al. H∞ filtering for T-S fuzzy networked systems with stochastic multiple delays and sensor faults. Neurocomputing, 2016, 207: 590–598.
M. Wang, J. Qiu, G. Feng. Event-triggered state estimation for TS fuzzy affine systems based on piecewise Lyapunov-Krasovskii functionals. Control Theory and Technology, 2019, 17(1): 99–111.
J. Liu, Y. Zhang, Y. Yu, et al. Fixed-time event-triggered consensus for nonlinear multi-agent systems without continuous communications. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019, 49(11): 2221–2229.
G. Ran, Z. Lu, F. Xu, et al. Event-triggered dynamic output feedback control for networked T-S fuzzy systems with asynchronous premise variables. IEEE Access, 2018, 6: 78740–78750.
Z. Lu, G. Ran, F. Xu, et al. Novel mixed-triggered filter design for interval type-2 fuzzy nonlinear Markovian jump systems with randomly occurring packet dropouts. Nonlinear Dynamics, 2019, 97(2): 1525–1540.
J. Liu, Y. Zhang, Y. Yu, et al. Fixed-time leader-follower consensus of networked nonlinear systems via event/self-triggered control. IEEE Transactions on Neural Networks and Learning Systems, 2020: DOI https://doi.org/10.1109/TNNLS.2019.2957069.
H. Wang, P. Shi, J. Zhang. Event-triggered fuzzy filtering for a class of nonlinear networked control systems. Signal Processing, 2015, 113: 159–168.
Yang. M, Peng. C, Li. G, et al. Event-triggered H∞ control for active semi-vehicle suspension system with communication constraints. Information Sciences, 2019, 486: 101–113.
P. Shi, H. Wang, C. Lim. Network-based event-triggered control for singular systems with quantizations. IEEE Transactions on Industrial Electronics, 2016, 63(2): 1230–1238.
Z. Lu, G. Ran, G. Zhang, et al. Event-based nonfragile H∞ filter design for networked control systems with interval time-varying delay. Journal of Control Science and Engineering, 2018, 2018: DOI https://doi.org/10.1155/2018/4541586.
H. Wang, P. Shi, R. K. Agarwal. Network-based event-triggered filtering for Markovian jump systems. International Journal of Control, 2016, 89(6): 1096–1110.
J. Cheng, J. H. Park, L. Zhang, et al. An asynchronous operation approach to event-triggered control for fuzzy Markovian jump systems with general switching policies. IEEE Transactions on Fuzzy Systems, 2018, 26(1): 6–18.
D. Yue, E. Tian, Q. Han. A delay system method for designing event-triggered controllers of networked control systems. IEEE Transactions on Automatic Control, 2013, 58(2): 475–481.
J. Cheng, J. H. Park, Y. Liu, et al. Finite-time H∞ fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions. Fuzzy Sets and Systems, 2017, 314: 99–115.
S. Sui, S. Tong, C. Chen. Finite-time filter decentralized control for nonstrict-feedback nonlinear large-scale systems. IEEE Transactions on Fuzzy Systems, 2018, 26(6): 3289–3300.
Q. Chen, Y. Wang, Z. Hu. Finite time synergetic control for quadrotor UAV with disturbance compensation. International Journal of Applied Mathematics in Control Engineering, 2018, 1: 31–38.
S. Wen, D. Liu, X. Wang. Finite-time stability of fractional order neural networks with proportional delays. International Journal of Applied Mathematics in Control Engineering, 2018, 2: 1–8.
P. Dorato. Short-time stability in linear time-varying systems. Proceedings of the IRE International Convention Record, New York, 1961: 83–87.
F. Amato, M. Ariola, P. Dorato. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 2001, 37(9): 1459–1463.
Z. Zhang, H. Zhang, P. Shi, et al. Finite-time filtering for T-S fuzzy discrete-time systems with time-varying delay and norm-bounded uncertainties. IEEE Transactions on Fuzzy Systems, 2015, 23(6): 2427–2434.
S. Vimal. Kumar, R. Sakthivel, M. Sathishkumar, et al. Finite time passive reliable filtering for fuzzy systems with missing measurements. Journal of Dynamic Systems, Measurement, and Control-Transactions of the ASME, 2018, 140(8): 1–13.
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was supported by in part by the Science and Technology projects of the State Grid Heilongjiang Electric Power Co., Ltd. (No. 52243718001b) and the Fundamental Research Funds in Heilongjiang Provincial Universities (No. 135309372).
Zhongda LU received his B.E. degree in Automation from the Qiqihar University, Qiqihar, China in 1993, and M.Sc. degree in Communication and Information System from the Harbin Engineering University, Harbin, China in 2007, and Ph.D. in Computer Application Technology from the Harbin University of Science and Technology, Harbin, China in 2019. He is working as a Professor in the Qiqihar University. His research interests include nonlinear system, robot control, pattern recognition and mechatronics.
Junxiao LU received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 2017, where he is currently pursuing the M.Sc. degree. His research interests include Internet of things application, nonlinear networked control systems, and fuzzy control.
Jiaqi ZHANG received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 2018, where he is currently pursuing the M.Sc. degree. His research interests include Internet of things application, intelligent electric meters, nonlinear networked control systems, and neural network algorithm.
Fengxia XU received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 1993, and the M.Sc. and Ph.D. degrees in Control Science and Control Engineering from the Harbin Institute of Technology, Harbin, China, in 2002 and 2006, respectively. She is currently a Professor and the Dean with the College of Mechanical and Electrical Engineering, Qiqihar University. Her research interests include networked control systems, descriptor systems, and nonlinear control.
Rights and permissions
About this article
Cite this article
Lu, Z., Lu, J., Zhang, J. et al. Finite-time non-fragile filtering for nonlinear networked control systems via a mixed time/event-triggered transmission mechanism. Control Theory Technol. 18, 168–181 (2020). https://doi.org/10.1007/s11768-020-0011-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11768-020-0011-8