-
摘要: 首先给出中和控制器设计思路，针对具有时滞特性的分布参数系统，设计中和控制器，讨论此类系统的稳定问题.利用Lyapunov稳定性理论并结合矩阵不等式处理方法，得出具有时滞特性分布参数系统稳定中和控制器存在的充分条件.最后结合所给条件，给出一个数值仿真说明其有效性.
-
关键词:
- 分布参数系统 /
- 中和控制 /
- Lyapunov稳定性 /
- 时滞
Abstract: The design idea of neutralization controller is given at first. Then the stability problem of distributed parameter systems with delay is investigated. A neutralization controller is designed for the system. By the Lyapunov stability theory and the linear matrix inequality, a sufficient condition is obtained for the stable neutralization controller to exist in the distributed parameter systems, in which the characteristics are delayed. Finally, combined with the given conditions, a numerical simulation is conducted to illustrate the effectiveness of the controller.1) 本文责任编委 姚鹏飞 -
[1] Ray W H. Advanced Process Control. New York: McGraw-Hill, 1981. [2] Christofides P D. Nonlinear and Robust Control of PDE Systems. Boston: Birkhäuser Boston, 2001. [3] Deng H, Li H X, Chen G R. Spectral-approximation-based intelligent modeling for distributed thermal processes. IEEE Transactions on Control Systems Technology, 2005, 13:686-700 doi: 10.1109/TCST.2005.847329 [4] Padhi R, Ali S F. An account of chronological developments in control of distributed parameter systems. Annual Reviews in Control, 2009, 33:59-68 doi: 10.1016/j.arcontrol.2009.01.003 [5] Baillieul J. Linearized models for the control of rotating beams. In: Proceedings of the 27th Conference on Decision and Control. Austin, Texas, USA: IEEE, 1989, 3: 1726-1731 [6] Najar F, Choura S, Abdel-Rahman E M, El-Borgi S, Nayfeh A. Dynamic analysis of variable-geometry electrostatic microactuators. Journal of Micromechanics and Microengineering, 2006, 16(11):2449-2457 doi: 10.1088/0960-1317/16/11/028 [7] Ly C, Doiron B. Correction:divisive gain modulation with dynamic stimuli in integrate-and-fire neurons. PLoS Computational Biology, 2009, 5(6), DOI: 10.1371/annota-tion/9c4474f6-e58e-41ea-af4b-090bbb86f474 [8] Luo Y P, Xia W H, Liu G R, Deng F Q. LMI approach to exponential stabilization of distributed parameter control systems with delay. Acta Automatica Sinica, 2009, 35(3):299-304 http://www.ams.org/mathscinet-getitem?mr=2535951 [9] 高存臣, 刘振, 徐瑞萍.一类具有连续分布时滞的分布参数系统的反馈控制.控制与决策, 2013, 28(3):445-450 http://d.old.wanfangdata.com.cn/Periodical/kzyjc201303022Gao Cun-Chen, Liu Zhen, Xu Rui-Ping. Feedback control for a class of distributed Parameter systems with continuous distributed time-delay. Control and Decision, 2013, 28(3):445-450 http://d.old.wanfangdata.com.cn/Periodical/kzyjc201303022 [10] Xing H L, Li D H, Gao C C, Kao Y G. Delay-independent sliding mode control for a class of quasi-linear parabolic distributed parameter systems with time-varying delay. Journal of the Franklin Institute, 2013, 350(2):397-418 doi: 10.1016/j.jfranklin.2012.12.007 [11] Yuan K, Alofi A, Cao J D, Al-Mazrooei A, Elaiw A. Synchronization of the coupled distributed parameter system with time delay via proportional-spatial derivative control. Discrete Dynamics in Nature and Society, 2014, 2014: Article No. 418258 [12] Babaei D, Armaou P A. Adaptive control of chemical distributed parameter systems. IFAC-PapersOnLine, 2015, 48(8):681-686 doi: 10.1016/j.ifacol.2015.09.047 [13] Demetriou M A. Boundary adaptive synchronization of networked PDEs with adaptive parameter estimators. IFAC-PapersOnLine, 2016, 49(8):242-247 doi: 10.1016/j.ifacol.2016.07.448 [14] Jiang Z X, Cui B T, Wu W, Zhuang B. Event-driven observer-based control for distributed parameter systems using mobile sensor and actuator. Computers and Mathematics with Applications, 2016, 72(12):2854-2864 doi: 10.1016/j.camwa.2016.10.009 [15] Wang Z P, Wu H N. Finite dimensional guaranteed cost sampled-data fuzzy control for a class of nonlinear distributed parameter systems. Information Sciences, 2016, 327:21-39 doi: 10.1016/j.ins.2015.08.009 [16] 郭涛, 梁燕军.不确定非线性时滞关联大系统自适应分散容错控制.自动化学报, 2017, 43(3):486-492 http://www.aas.net.cn/CN/abstract/abstract19027.shtmlGuo Tao, Liang Yan-Jun. Adaptive decentralized fault-tolerant control for uncertain nonlinear time-delay large scale systems. Acta Automatica Sinica, 2017, 43(3):486-492 http://www.aas.net.cn/CN/abstract/abstract19027.shtml [17] Chen W H, Zhong J C, Zheng W X. Delay-independent stabilization of a class of time-delay systems via periodically intermittent control. Automatica, 2016, 71:89-97 doi: 10.1016/j.automatica.2016.04.031 [18] Xie T T, Liao X F, Li H Q. Leader-following consensus in second-order multi-agent systems with input time delay:an event-triggered sampling approach. Neurocomputing, 2016, 177:130-135 doi: 10.1016/j.neucom.2015.11.013 [19] Boyd S, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory, Philadelphia, PA, USA: Society for Industrial and Applied Mathematics, 1994. [20] 崔宝同, 楼旭阳.时滞分布参数系统理论及其应用.北京:国防工业出版社, 2009. 8-12Cui Bao-Tong, Lou Xu-Yang. Theory and Application of Time-Delay Distributed Parameter System. Beijing:National Defense Industry Press, 2009. 8-12 -
下载:
图(2)
计量
- 文章访问数: 1739
- HTML全文浏览量: 232
- PDF下载量: 577
- 被引次数: 0
