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本文主要研究具有远程和本地控制器的网络控制系统的滚动时域控制问题。首先，基于极值原理设计滚动时域控制(receding horizon control, RHC)方案。其次，对于无加性噪声的系统，采取RHC策略得到的终端加权矩阵满足两个耦合的Lyapunov不等式，经过验证，这两个不等式是使系统均方镇定的充分条件；对于有加性噪声的系统，通过分析状态估计误差，得到了使系统均方有界的充分条件。最后，仿真实例验证了所提策略的有效性。
Abstract：The receding horizon control of networked control systems with remote and local controllers are studied in this paper.Firstly, the receding horizon control(RHC) scheme is obtained by applying maximum principle.Secondly, for systems without the additive noise, the terminal matrices obtained by applying the RHC strategy satisfies two coupled Lyapunov inequalities.It is verified that these two inequalities are sufficient conditions to make the systems mean-square stable.For the systems with the additive noise, a sufficient condition is derived for the boundedness in the mean-square sense of the systems by analyzing state estimation errors.Finally, a simulation example was given to verify the effectiveness of the proposed strategy.
[1] TIPSUWAN Y,CHOW M.Control methodologies in networked control systems[J].Control Engineering Practice,2003,11:1099-1111.
[2] WALSH G C,HONG Y,BUSHNELL L G.Stability analysis of networked control systems[J].IEEE Transactions on Control Systems Technology,2002,10(3):438-446.
[3] ZHANG W,BRANICKY M S.Stability of networked control systems[J].IEEE Control Systems Magazine,2001,21:84-99.
[4] HU S,YAN W Y.Stability robustness of networked control systems with respect to packet loss[J].Automatica,2007,43(7):1243-1248.
[5] GUPTA V,HASSIBI B,MURRAY R M.Optimal LQG control across packet dropping links[J].Systems Control Letters,2007,56(6):439-446.
[6] LIANG X,XU J J,ZHANG H S.Optimal control and stabilization for networked control systems with packet dropout and input delay[J].IEEE Transactions on Circuits and Systems II:Express Briefs,2017,64(9):1087-1096.
[7] TAN C,LI L,ZHANG H S.Stabilization of networked control systems with network-induced delay and packet dropout[J].Automatica,2015,59:194-199.
[8] CAI Y Y,LU X,WANG H X.Necessary and sufficient optimal control conditions for networked control systems with input delay and Markovian packet dropouts[J].Asian Journal of Control,2023,26 (3):1553-1563.
[9] DING K,REN X D.DoS attacks on remote state estimation with asymmetric information[J].IEEE Transactions Control Network Systems,2019,6:653-666.
[10] YONG J M,ZHOU X Y.Stochastic controls:hamiltonian systems and HJB equations[J].Automatica,2002,38(9):1626-1627.
[11] BASAR T.Variations on the theme of the Witsenhausen counter example[J].IEEE Conference on Decision and Control,2008,47:1614-1619.
[12] LEI D,LI J B,LIU Z X.Supply chain contracts under demand and cost disruptions with asymmetric information[J].International Journal of Production Economics,2012,13(1):116-126.
[13] HU Y,TANG S J.Mixed deterministic and random optimal control of linear stochastic systems with quadratic costs[J].Probability Uncertainty Quantitative Risk,2019,4(1):1-15.
[14] OUYANG Y,TAVAFOGHI H,TENEKETZIS D.Dynamic games with asymmetric information:common information based perfect Bayesian equilibria and sequential decomposition[J].IEEE Transactions on Automatic Control,2017,62(1):222-237.
[15] SRINIVASA D G,SCHüTTLER H,JOSEPH B.Time-stamped model predictive control:an algorithm for control of processes with random delays[J].Computers and Chemical Engineering,2004,28(8):1337-1346.
[16] QUEVEDO D E,NESCI D.Input-to-state stability of packetized predictive control over unreliable networks affected by packet-dropouts[J].IEEE Transactions on Automatic Control,2010,56(2):370-375.
[17] LIU B,XIA Y Q,MAHMOUD M S.New predictive control scheme for networked control systems[J].Circuits,Systems,and Signal Processing,2012,31(3):945-960.
[18] ZHANG L W,XIE W,LIU J F.Robust control of saturating systems with Markovian packet dropouts under distributed MPC[J].ISA Transactions,2018,85:49-59.
[19] TANG X M,DING B C.Model predictive control of linear systems over networks with data quantization's and packet losses[J].Automatica,2013,49(5):1333-1339.
[20] ZOU Y Y,LAM Y G.Constrained predictive control synthesis for quantized systems with Markovian data loss[J].Automatica,2015,55:217-225.
[21] LIANG X,XU J J.Control for networked control systems with remote and local controllers over unreliable communication channel[J].Automatica,2018,98:86-94.
基本信息:
DOI：10.20062/j.cnki.CN37-1453/N.2025.02.001
中图分类号:TP273
引用信息:
[1]付雨腾,高荣.具有远程和本地控制器的网络控制系统滚动时域控制研究[J].鲁东大学学报(自然科学版),2025,41(02):97-105.DOI:10.20062/j.cnki.CN37-1453/N.2025.02.001.
基金信息:
国家自然科学基金(U24A20281)
2025-03-06
2025-03-06
2025-03-06