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Pure Mathematics 2024
比特率受限情形下基于编解码机制的跟踪控制
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Abstract:
本文研究了编码解码方案影响下一类线性离散网络的跟踪控制器的设计问题。 在设计解码方案时，考虑了比特率约束，使研究更具挑战性，井揭示了比特率约束对解码精度的影响。 设计一个跟踪控制器，利用Lyapunov泛函方法和矩阵不等式技术获得编码数据可恢复性和闭环系统输入到状态稳定的充分条件。 最后，通过一个仿真实例验证所开发的跟踪控制方案的有效性。
This paper investigates the design problem of tracking controllers for a class of linear
discrete networks under the in
uence of coding and decoding schemes. Bit rate con-
straints are considered in the design of the decoding scheme to make the study more
challenging and to reveal the impact of bit rate constraints on the decoding accuracy.
A tracking controller is designed to obtain sufficient conditions for the recoverability
of the coded data and the input-to-state stability of the closed-loop system using the
Lyapunov generalized method and matrix inequality techniques. Finally, the effec-
tiveness of the developed tracking control scheme is verified by a simulation example.
| [1] | Li, J., Wang, J., Peng, H., et al. (2022) Fuzzy-Torque Approximation-Enhanced Sliding Mode
Control for Lateral Stability of Mobile Robot. IEEE Transactions on Systems, Man, and
Cybernetics: Systems, 52, 2491-2500. https://doi.org/10.1109/TSMC.2021.3050616 |
| [2] | He, W., Mu, X., Zhang, L., et al. (2021) Modeling and Trajectory Tracking Control for
Flapping-Wing Micro Aerial Vehicles. IEEE/CAA Journal of Automatica Sinica, 8, 148-156.
https://doi.org/10.1109/JAS.2020.1003417 |
| [3] | Li, J., Wang, J., Peng, H., et al. (2020) Neural Fuzzy Approximation Enhanced Autonomous
Tracking Control of the Wheel-Legged Robot under Uncertain Physical Interaction. Neuro-
computing, 410, 342-353. https://doi.org/10.1016/j.neucom.2020.05.091 |
| [4] | Wu, B. and Gao, X. (2018) Robust Attitude Tracking Control for Spacecraft with Quantized
Torques. IEEE Transactions on Aerospace and Electronic Systems, 54, 1020-1028.
https://doi.org/10.1109/TAES.2017.2773273 |
| [5] | Chen, T. and Chen, G. (2018) Distributed Adaptive Tracking Control of Multiple Flexible
Spacecraft under Various Actuator and Measurement Limitations. Nonlinear Dynamics, 91,
1571-1586. https://doi.org/10.1007/s11071-017-3965-4 |
| [6] | Zhao, D., Wang, W., Liu, S., et al. (2023) PID Tracking Control under Multiple Description
Encoding Mechanisms. IEEE Transactions on Systems, Man, and Cybernetics, 53, 7025-7037.
https://doi.org/10.1109/TSMC.2023.3290011 |
| [7] | Song, J., Niu, Y., Lam, J., et al. (2018) Fuzzy Remote Tracking Control for Randomly Varying
Local Nonlinear Models under Fading and Missing Measurements. IEEE Transactions on Fuzzy
Systems, 26, 1125-1137. https://doi.org/10.1109/TFUZZ.2017.2705624 |
| [8] | Zhao, X., Liu, C. and Tian, E. (2020) Finite-Horizon Tracking Control for a Class of Stochastic
Systems Subject to Input Constraints and Hybrid Cyber Attacks. ISA Transactions, 104, 93-
100. https://doi.org/10.1016/j.isatra.2019.02.025 |
| [9] | Gao, H. and Chen, T. (2008) Network-Based H Output Tracking Control. IEEE Transactions
on Automatic Control, 53, 655-667. https://doi.org/10.1109/TAC.2008.919850 |
| [10] | Zhao, J., Huang, Y. and Zang, W. (2023) Optimal Prescribed Performance Tracking Control
of Nonlinear Motor Driven Systems via Adaptive Dynamic Programming. Asian Journal of
Control, 25, 4499-4511. https://doi.org/10.1002/asjc.3121 |
| [11] | Kanchanaharuthai, A. (2023) Nonlinear Recursive Gain Asymptotic Tracking Controller Design
for Hydraulic Turbine Regulating Systems. Asian Journal of Control, 25, 4215-4231.
https://doi.org/10.1002/asjc.3160 |
| [12] | Zhang, X., Zhuang, X., Liu, E., et al. (2023) Adaptive Neural Network Finite-Time Command
Filter Tracking Control for Nonlinear Systems with Multiple Coupling High-Order Terms and
Disturbances. Asian Journal of Control, 25, 4539-4550. https://doi.org/10.1002/asjc.3105 |
| [13] | Xiao, B. and Yin, S. (2019) Exponential Tracking Control of Robotic Manipulators with Uncertain
Dynamics and Kinematics. IEEE Transactions on Industrial Informatics, 15, 689-698.
https://doi.org/10.1109/TII.2018.2809514 |
| [14] | Zhang, H., Xi, R., Wang, Y., et al. (2022) Event-Triggered Adaptive Tracking Control for Random
Systems with Coexisting Parametric Uncertainties and Severe Nonlinearities. IEEE Trans-
actions on Automatic Control, 67, 2011-2018. https://doi.org/10.1109/TAC.2021.3079279 |
| [15] | Wang, Y., Jiang, B., Wu, Z.G., et al. (2021) Adaptive Sliding Mode Fault-Tolerant Fuzzy
Tracking Control with Application to Unmanned Marine Vehicles. IEEE Transactions on Sys-
tems, Man, and Cybernetics: Systems, 51, 6691-6700.
https://doi.org/10.1109/TSMC.2020.2964808 |
| [16] | Zhao, X., Wang, X., Ma, L., et al. (2020) Fuzzy Approximation Based Asymptotic Tracking
Control for a Class of Uncertain Switched Nonlinear Systems. IEEE Transactions on Fuzzy
Systems, 28, 632-644. https://doi.org/10.1109/TFUZZ.2019.2912138 |
| [17] | Li, Z.M., Chang, X.H. and Park, J.H. (2021) Quantized Static Output Feedback Fuzzy Tracking
Control for Discrete-Time Nonlinear Networked Systems with Asynchronous Event-Triggered
Constraints. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51, 3820-3831.
https://doi.org/10.1109/TSMC.2019.2931530 |
| [18] | Ye, D., Zou, A.M. and Sun, Z.W. (2022) Predefined-Time Predefined-Bounded Attitude Tracking
Control for Rigid Spacecraft. IEEE Transactions on Aerospace and Electronic Systems, 58,
464-472. https://doi.org/10.1109/TAES.2021.3103258 |
| [19] | Ge, X., Han, Q.L., Ding, L., et al. (2020) Dynamic Event-Triggered Distributed Coordination
Control and Its Applications: A Survey of Trends and Techniques. IEEE Transactions on
Systems, Man, and Cybernetics: Systems, 50, 3112-3125.
https://doi.org/10.1109/TSMC.2020.3010825 |
| [20] | Ge, X., Han, Q.L., Zhong, M., et al. (2019) Distributed Krein Space-Based Attack Detection
over Sensor Networks under Deception Attacks. Automatica, 109.
https://doi.org/10.1016/j.automatica.2019.108557 |
| [21] | Hu, J., Zhang, H., Liu, H., et al. (2021) A Survey on Sliding Mode Control for Networked
Control Systems. International Journal of Systems Science, 52, 1129-1147.
https://doi.org/10.1080/00207721.2021.1885082 |
| [22] | Ju, Y., Tian, X., Liu, H., et al. (2021) Fault Detection of Networked Dynamical Systems: A
Survey of Trends and Techniques. International Journal of Systems Science, 52, 3390-3409.
https://doi.org/10.1080/00207721.2021.1998722 |
| [23] | Ciuonzo, D., Aubry, A. and Carotenuto, V. (2017) Rician MIMO Channel and Jamming-Aware
Decision Fusion. IEEE Transactions on Signal Processing, 65, 3866-3880.
https://doi.org/10.1109/TSP.2017.2686375 |
| [24] | Li, T. and Xie, L. (2012) Distributed Coordination of Multi-Agent Systems with Quantized-
Observer Based Encoding-Decoding. IEEE Transactions on Automatic Control, 57, 3023-3037.
https://doi.org/10.1109/TAC.2012.2199152 |
| [25] | Liu, W., Wang, Z. and Ni, M. (2013) Controlled Synchronization for Chaotic Systems via
Limited Information with Data Packet Dropout. Automatica, 49, 2576-2579.
https://doi.org/10.1016/j.automatica.2013.04.044 |
| [26] | Wang, L., Wang, Z., Wei, G., et al. (2019) Observer-Based Consensus Control for Discrete-
Time Multiagent Systems with Coding-Decoding Communication Protocol. IEEE Transactions
on Cybernetics, 49, 4335-4345. https://doi.org/10.1109/TCYB.2018.2863664 |
| [27] | Zhou, L. and Lu, G. (2009) Detection and Stabilization for Discrete-Time Descriptor Systems
via a Limited Capacity Communication Channel. Automatica, 45, 2272-2277.
https://doi.org/10.1016/j.automatica.2009.05.022 |
| [28] | Farhadi, A. and Charalambous, C.D. (2010) Stability and Reliable Data Reconstruction of
Uncertain Dynamic Systems over Finite Capacity Channels. Automatica, 46, 889-896.
https://doi.org/10.1016/j.automatica.2010.02.002 |
| [29] | Savkin, A.V. and Cheng, T.M. (2007) Detectability and Output Feedback Stabilizability of
Nonlinear Networked Control Systems. IEEE Transactions on Automatic Control, 52, 730-735.
https://doi.org/10.1109/TAC.2007.894542 |
| [30] | Wang, L., Wang, Z., Han, Q.L., et al. (2022) Synchronization Control for a Class of Discrete-
Time Dynamical Networks with Packet Dropouts: A Coding-Decoding-Based Approachs.
IEEE Transactions on Neural Networks and Learning Systems, 48, 2437-2448.
https://doi.org/10.1109/TCYB.2017.2740309 |
| [31] | Zhao, D., Wang, Z., Chen, Y., et al. (2022) Partial-Neurons-Based Proportional-Integral Observer
Design for Artificial Neural Networks: A Multiple Description Encoding Scheme. IEEE
Transactions on Neural Networks and Learning Systems, 35, 6393-6407.
https://doi.org/10.1109/TNNLS.2022.3209632 |
| [32] | Zhao, D., Wang, Z., Wang, L., et al. (2022) Proportional-Integral Observer Design for
Multirate-Networked Systems under Constrained Bit Rate: An Encoding-Decoding Mechanism.
IEEE Transactions on Cybernetics, 53, 4280-4291.
https://doi.org/10.1109/TCYB.2022.3165041 |
| [33] | Li, J.Y., Wang, Z., Lu, R., et al. (2023) Distributed Filtering under Constrained Bit Rate over
Wireless Sensor Networks: Dealing with Bit Rate Allocation Protocol. IEEE Transactions on
Automatic Control, 68, 1642-1654. https://doi.org/10.1109/TAC.2022.3159486 |
| [34] | Li, J.Y., Wang, Z., Lu, R., et al. (2023) Cluster Synchronization Control for Discrete-Time
Complex Dynamical Networks: When Data Transmission Meets Constrained Bit Rate. IEEE
Transactions on Neural Networks and Learning Systems, 34, 2554-2568.
https://doi.org/10.1109/TNNLS.2021.3106947 |
| [35] | Li, J.Y., Wang, Z., Lu, R., et al. (2021) Partial-Nodes-Based State Estimation for Complex
Networks with Constrained Bit Rate. IEEE Transactions on Network Science and Engineering,
8, 1887-1899. https://doi.org/10.1109/TNSE.2021.3076113 |
