单输入多输出系统最优跟踪误差估计
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摘要
研究了控制能量约束下单输入多输出系统跟踪误差的最优估计问题。针对上行和下行通信信道的数据丢包进行了分析,并得到最小跟踪误差的显示表达式。研究结果表明对于单输入多输出系统,跟踪误差的最小值依赖于被控对象的结构特征及参数输入信号的统计特性。并且数据丢包在一定程度上会恶化系统的跟踪性能。最后通过实验仿真验证了理论分析的结果。
In this paper, the optimal estimation of tracking error for single-input multiple-out(SIMO) systems under control energy constraints is investigated. The packet-dropouts in the upstream channel and down channel are adequately considered. The minimal tracking error is obtained by searching through all stabilizing controllers. The main results of this paper show that the optimal tracking performance in these kinds of system is closely dependent on the structure of the given plant and statistic characteristics of the reference signal. Furthermore, the packet-dropouts in the communication channel will degenerate the tracking performance. Finally, a typical example is given to illustrate the theoretical results.
In this paper, the optimal estimation of tracking error for single-input multiple-out(SIMO) systems under control energy constraints is investigated. The packet-dropouts in the upstream channel and down channel are adequately considered. The minimal tracking error is obtained by searching through all stabilizing controllers. The main results of this paper show that the optimal tracking performance in these kinds of system is closely dependent on the structure of the given plant and statistic characteristics of the reference signal. Furthermore, the packet-dropouts in the communication channel will degenerate the tracking performance. Finally, a typical example is given to illustrate the theoretical results.
引文
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[8]Wu J, Chen T W. Design of Networked Control Systems with Packet Dropouts [J]. IEEE Transactions on Automatic Control, 2007, 52(7):1314～1319.
[9]Li W, Wang Q, Xu L J,et al. Exponential Stability of a Networked Flight Control System with Large-bounded Successive Packet-dropouts [C]. 2010 IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS), 29-31 Oct. 2010, 596～601.
[10]Yang R N, Shi P, Liu G P. Filtering for Discrete-Time Networked Nonlinear Systems With Mixed Random Delays and Packet Dropouts [J]. IEEE Transactions on Automatic Control, 2011, 56(11):2655～2660.
[11]Zhao X L, Fei S M, Sun C Y. Impulsive Controller Design for Singular Networked Control Systems with Packet Dropouts [J]. International Journal of Control, Automation and Systems, 2009, 7(6):1020～1025.
[12]Li X, Weng J M, Du D J,et al. Observer-Based Exponential Stability Analysis for Networked Control Systems with Packet Dropout [J], Advanced Intelligent Computing, Lecture Notes in Computer Science, 2012, 6838: 694～700.
[13]Dong H L, Wang Z D, Lam J,et al. Distributed Filtering in Sensor Networks with Randomly Occurring Saturations and Successive Packet Dropouts [J]. International Journal of Robust and Nonlinear Control, 2014, 24(12): 1743～1759.
[14]Goodwin G C, Salgado M E, Yuz J I. Performance Limitations for Linear Feedback Systems in the Presence of Plant Uncertainty. IEEE Transactions on Automatic Control, 2003, 48(8):1312～1319.
[15]Qiu L, Davison E J. Performance Limitations of Nonminimum Phase Systems in the Servomechanism Problem. Automatica, 1993, 29(2):337～349.
[2]Ishido Y, Takaba K, Quevedo D E. Stability Analysis of Networked Control Systems Subject to Packet-dropouts and Finite-level Quantization [J]. Systems and Control Letters, 2011, 60(5):325～332.
[3]Yu M, Wang L, Xie G M,et al. Stabilization of Networked Control Systems with Data Packet Dropout and Network Delays via Switching System Approach [C]. In Proceedings of 43rd IEEE Conference on Decision and Control. Washington D. C., USA: IEEE, 2004, 3539～3544.
[4]Xiong J L, Lam J. Stabilization of Linear Systems over Networks with Bounded Packet Loss [J]. Automatica, 2007, 43(1):80～87.
[5]Zhang X M, Zhang Y F, Lu G P. Stochastic Stability of Networked Control Systems with Network-induced Delay and Data Dropout [J]. Journal of Control Theory and Applications, 2008, 6(4):405～409.
[6]Goodwin G C, Quevedo D E, Silva E I. Architectures and Coder Design for Networked Control Systems [J]. Automatica, 2008, 44(1):248～257.
[7]Zhan X S, Guan Z H, Liao R Q,et al. Optimal Performance in Tracking Stochastic Signal under Disturbance Rejection [J]. Asian Journal of Control, 2012, 14(6):1608～1616.
[8]Wu J, Chen T W. Design of Networked Control Systems with Packet Dropouts [J]. IEEE Transactions on Automatic Control, 2007, 52(7):1314～1319.
[9]Li W, Wang Q, Xu L J,et al. Exponential Stability of a Networked Flight Control System with Large-bounded Successive Packet-dropouts [C]. 2010 IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS), 29-31 Oct. 2010, 596～601.
[10]Yang R N, Shi P, Liu G P. Filtering for Discrete-Time Networked Nonlinear Systems With Mixed Random Delays and Packet Dropouts [J]. IEEE Transactions on Automatic Control, 2011, 56(11):2655～2660.
[11]Zhao X L, Fei S M, Sun C Y. Impulsive Controller Design for Singular Networked Control Systems with Packet Dropouts [J]. International Journal of Control, Automation and Systems, 2009, 7(6):1020～1025.
[12]Li X, Weng J M, Du D J,et al. Observer-Based Exponential Stability Analysis for Networked Control Systems with Packet Dropout [J], Advanced Intelligent Computing, Lecture Notes in Computer Science, 2012, 6838: 694～700.
[13]Dong H L, Wang Z D, Lam J,et al. Distributed Filtering in Sensor Networks with Randomly Occurring Saturations and Successive Packet Dropouts [J]. International Journal of Robust and Nonlinear Control, 2014, 24(12): 1743～1759.
[14]Goodwin G C, Salgado M E, Yuz J I. Performance Limitations for Linear Feedback Systems in the Presence of Plant Uncertainty. IEEE Transactions on Automatic Control, 2003, 48(8):1312～1319.
[15]Qiu L, Davison E J. Performance Limitations of Nonminimum Phase Systems in the Servomechanism Problem. Automatica, 1993, 29(2):337～349.
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