H_∞ Estimation of Nonlinear Time-Varying Systems with Data Packet Dropouts
DOI:
https://doi.org/10.54097/e4g83r94Keywords:
H_∞ state estimation, randomly occurring data packet dropouts, multiplicative noise, nonlinear time-varying systems, Riccati difference equations.Abstract
This paper handles the finite-horizon state estimator design issue for nonlinear time-varying systems under the effect of multiplicative noise and random data packet dropouts. Stochastic nonlinear function with known statistical properties is employed to depict the nonlinear intrinsic characteristics of real systems. The phenomenon of random data packet dropouts is characterized using a random variable following the Bernoulli distribution. Multiplicative noise is incorporated as well as additive process noise. Through the utilization of stochastic analysis, matrix computation and completing squares approach, a necessary and sufficient condition is proposed to ensure the existence of ideal estimators that satisfy the performance requirement. The time-varying gain parameters of the estimators are derived by recursively solving a group of coupled backward Riccati difference equations. Correctness of the developed estimation approach is verified via a simulation example.
Downloads
References
Dongmei Wang, Shaoxiong Shi, Jingyi Lu, et al. Research on gas pipeline leakage model identification driven by digital twin. Systems Science & Control Engineering, 2023, 11 (1): 2180687.
Xiang Li, Minglei Li, Pengfei Yan, et al. Deep learning attention mechanism in medical image analysis: Basics and beyonds. International Journal of Network Dynamics and Intelligence, 2023: 93-116.
Lin Xu, Jiaqiang Du, Baoye Song, et al. A combined backstepping and fractional-order PID controller to trajectory tracking of mobile robots. Systems Science & Control Engineering, 2022, 10 (1): 134-141.
Valery Rubí Rosales-Valladares, Nadia Maria Salgado-Herrera, Osvaldo Rodríguez-Hernández, et al. Power hardware in the loop methodology applied in the integration of wind energy conversion system under fluctuations: A case study. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 2024, 46 (1): 2767-2791.
Fuya Yuan, Huijun Sun, Liujiang Kang, et al. Passenger flow control strategies for urban rail transit networks. Applied Mathematical Modelling, 2020, 82: 168-188.
Yi Shui, Lu Dong, Ya Zhang, et al. Event-based adaptive fuzzy tracking control for nonlinear systems with input magnitude and rate saturations. International Journal of Systems Science, 2023, 54 (16): 3045-3058.
Yue Luo, Jiayu Zhou, Wen Yang. Distributed state estimation with colored noises. IEEE Transactions on Circuits and Systems II: Express Briefs, 2021, 69 (6): 2807-2811.
Yuxuan Shen, Zidong Wang, Hongli Dong, et al. Distributed recursive state estimation for a class of multi-rate nonlinear systems over wireless sensor networks under FlexRay protocols. IEEE Transactions on Network Science and Engineering, 2022, 10 (3): 1551-1563.
Bo Shen, Zidong Wang, Dong Wang, et al. State-saturated recursive filter design for stochastic time-varying nonlinear complex networks under deception attacks. IEEE Transactions on Neural Networks and Learning Systems, 2019, 31 (10): 3788-3800.
Hang Geng, Zidong Wang, Yan Liang, et al. Tobit Kalman filter with time-correlated multiplicative sensor noises under redundant channel transmission. IEEE Sensors Journal, 2017, 17 (24): 8367-8377.
Lei Guo, Wenshuo Li, Yukai Zhu, et al. Composite disturbance filtering: A novel state estimation scheme for systems with multi-source, Heterogeneous, and Isomeric Disturbances. IEEE Open Journal of the Industrial Electronics Society, 2023, 4: 387-400.
Wen Li, Yugang Niu, Zhiru Cao. Event-triggered sliding mode control for multi-agent systems subject to channel fading. International Journal of Systems Science, 2022, 53 (6): 1233-1244.
Huimin Tao, Hailong Tan, Qiwen Chen, et al. H_∞ state estimation for memristive neural networks with randomly occurring DoS attacks. Systems Science & Control Engineering, 2022, 10 (1): 154-165.
Xianming Zhang, Qinglong Han, Xiaohua Ge. A novel approach to H_∞ performance analysis of discrete-time networked systems subject to network-induced delays and malicious packet dropouts. Automatica, 2022, 136: 110010.
Langwen Zhang, Wei Xie, Jinfeng Liu. Robust control of saturating systems with Markovian packet dropouts under distributed MPC. ISA Transactions, 2019, 85: 49-59.
Hong Lin, James Lam, Zidong Wang, et al. State estimation over non-acknowledgment networks with Markovian packet dropouts. Automatica, 2019, 109: 108484.
Nan Hou, Jiahui Li, Hongjian Liu, et al. Finite-horizon resilient state estimation for complex networks with integral measurements from partial nodes. Science China Information Sciences, 2022, 65 (3): 132205.
Kewang Huang, Feng Pan. Finite-horizon H_∞ control for time-varying state-saturated systems under stochastic communication protocol. Mathematical Problems in Engineering, 2021, 2021: 1-11.
Hongli Dong, Nan Hou, Zidong Wang. Fault estimation for complex networks with randomly varying topologies and stochastic inner couplings. Automatica, 2020, 112: 108734.
Zongjie Luo, Yanqin Wang, Dongyan Dai, et al. Finite-horizon security-guaranteed non-fragile H_∞ estimation under integral measurements. The 3rd Conference on Fully Actuated System Theory and Applications (FASTA2024), Shenzhen, China, 10th-12th May, 2024, accepted on Mar. 18th, 2024.
Chunyan Han, Zidong Wang, Huanshui Zhang, et al. Stabilization and optimal control for discrete-time Markov jump linear system with multiplicative noises and input delays: A complete solution. IEEE Transactions on Automatic Control, 2023.
Weilu Chen, Jun Hu, Xiaoyang Yu, et al. Protocol-based fault detection for discrete delayed systems with missing measurements: the uncertain missing probability case. IEEE Access, 2018, 6: 76616-76626.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Highlights in Science, Engineering and Technology
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
