·654· 智能系统学报 第14卷 4结束语 16(3:833-844 [8]GHOSH D,CHOWDHURY A R.Nonlinear observer- 本文针对冠状动脉系统的混沌抑制问题，提 based impulsive synchronization in chaotic systems with 出了微分积分终端滑模控制方法，建立了冠状动 multiple attractors[J].Nonlinear dynamics,2010,60(4): 脉系统的混沌同步动力学模型，采用扰动观测器 607-613 克服系统中不确定性的不利影响，利用李雅普诺 [9]YU Yonggang,LI Hanxiong,DUAN Jian.Chaos syn- 夫理论分析了所设计混沌抑制控制系统的稳定 chronization of a unified chaotic system via partial linear- 性，通过与高阶自适应滑模的仿真对比，验证了 ization[J].Chaos,solitons and fractals,2009,41(1): 所提出的控制方法的有效性与可行性。 457-463. [10]WU Wenshu,ZHAO Zhanshan,ZHANG Jing,et al.State 参考文献： feedback synchronization control of coronary artery chaos [1]OZAKI K,TANAKA T.Molecular genetics of coronary system with interval time-varying delay[J].Nonlinear dy- artery disease[J].Journal of human genetics,2016,61(1): namics..2017,87(3):1773-1783 71-77. [11]潘光，魏静.一种分数阶混沌系统同步的自适应滑模控 [2]HE Guowei,TAGGART D P.Spasm in arterial grafts in 制器设计[.物理学报，2015,64(4)：040505 coronary artery bypass grafting surgery[J].The annals of PAN Guang,WEI Jing.Design of an adaptive sliding thoracic surgery,2016,101(3):1222-1229. mode controller for synchronization of fractional-order [3]SCHAUER T,NEGARD N O,PREVIDI F,et al.Online chaotic systems[J].Acta physica sinica,2015,64(4): identification and nonlinear control of the electrically stim- 040505. ulated quadriceps muscle[J].Control engineering practice, [12]CHIU C S.Derivative and integral terminal sliding mode 2005,13(9):1207-1219. control for a class of MIMO nonlinear systems[J].Auto- [4]LI Wenlei.Tracking control of chaotic coronary artery sys- natica.2012.48(2):316-326. tem[J].International journal of systems science,2012, 作者简介： 43(1):21-30 [5]RAFIKOV M,BALTHAZAR J M.On control and syn- 钱殿伟，男，1980年生，副教授。 博士，主要研究方向为非线性系统理 chronization in chaotic and hyperchaotic systems via lin- 论与控制。承担中央高校科研业务费 ear feedback control[J].Communications in nonlinear sci- 项目1项。发表学术论文80余篇。 ence and numerical simulation,2008,13(7):1246-1255. [6]赵占山，张静，丁刚，等.冠状动脉系统高阶滑模自适应 混沌同步设计[J.物理学报，2015,64(21)：210508. ZHAO Zhanshan,ZHANG Jing,DING Gang,et al.Chaos 席亚菲，女，1993年生，硕士研究 synchronization of coronary artery system based on higher 生，主要研究方向为变结构控制理论 order sliding mode adaptive control[J].Acta physica sinica, 与应用、智能机器人技术。 2015,6421)210508. [7]CHITHRA A,MOHAMED I R.Synchronization and chaotic communication in nonlinear circuits with nonlin- ear coupling[J.Journal of computational electronics,2017,4 结束语 本文针对冠状动脉系统的混沌抑制问题，提 出了微分积分终端滑模控制方法，建立了冠状动 脉系统的混沌同步动力学模型，采用扰动观测器 克服系统中不确定性的不利影响，利用李雅普诺 夫理论分析了所设计混沌抑制控制系统的稳定 性，通过与高阶自适应滑模的仿真对比，验证了 所提出的控制方法的有效性与可行性。 参考文献： OZAKI K, TANAKA T. Molecular genetics of coronary artery disease[J]. Journal of human genetics, 2016, 61(1): 71–77. [1] HE Guowei, TAGGART D P. Spasm in arterial grafts in coronary artery bypass grafting surgery[J]. The annals of thoracic surgery, 2016, 101(3): 1222–1229. [2] SCHAUER T, NEGARD N O, PREVIDI F, et al. Online identification and nonlinear control of the electrically stim￾ulated quadriceps muscle[J]. Control engineering practice, 2005, 13(9): 1207–1219. [3] LI Wenlei. Tracking control of chaotic coronary artery sys￾tem[J]. International journal of systems science, 2012, 43(1): 21–30. [4] RAFIKOV M, BALTHAZAR J M. On control and syn￾chronization in chaotic and hyperchaotic systems via lin￾ear feedback control[J]. Communications in nonlinear sci￾ence and numerical simulation, 2008, 13(7): 1246–1255. [5] 赵占山, 张静, 丁刚, 等. 冠状动脉系统高阶滑模自适应 混沌同步设计 [J]. 物理学报, 2015, 64(21): 210508. ZHAO Zhanshan, ZHANG Jing, DING Gang, et al. Chaos synchronization of coronary artery system based on higher order sliding mode adaptive control[J]. Acta physica sinica, 2015, 64(21): 210508. [6] CHITHRA A, MOHAMED I R. Synchronization and chaotic communication in nonlinear circuits with nonlin￾ear coupling[J]. Journal of computational electronics, 2017, [7] 16(3): 833–844. GHOSH D, CHOWDHURY A R. Nonlinear observer￾based impulsive synchronization in chaotic systems with multiple attractors[J]. Nonlinear dynamics, 2010, 60(4): 607–613. [8] YU Yonggang, LI Hanxiong, DUAN Jian. Chaos syn￾chronization of a unified chaotic system via partial linear￾ization[J]. Chaos, solitons and fractals, 2009, 41(1): 457–463. [9] WU Wenshu, ZHAO Zhanshan, ZHANG Jing, et al. State feedback synchronization control of coronary artery chaos system with interval time-varying delay[J]. Nonlinear dy￾namics, 2017, 87(3): 1773–1783. [10] 潘光, 魏静. 一种分数阶混沌系统同步的自适应滑模控 制器设计 [J]. 物理学报, 2015, 64(4): 040505. PAN Guang, WEI Jing. Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems[J]. Acta physica sinica, 2015, 64(4): 040505. [11] CHIU C S. Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems[J]. Auto￾matica, 2012, 48(2): 316–326. [12] 作者简介： 钱殿伟，男，1980 年生，副教授， 博士，主要研究方向为非线性系统理 论与控制。承担中央高校科研业务费 项目 1 项。发表学术论文 80 余篇。 席亚菲，女，1993 年生，硕士研究 生，主要研究方向为变结构控制理论 与应用、智能机器人技术。 ·654· 智 能 系 统 学 报 第 14 卷