马增辉,梁枫,王连刚

• 1:海南热带海洋学院
• 2:海南热带海洋学院崖州湾创新研究院
• 3:西安热工研究院有限公司
• 4:华能兰州新区热电有限公司

摘要(Abstract)：

含有不稳定零点的非最小相位对象在电力生产过程中广泛存在，由于存在非最小相位特性，要求控制系统在确保输出跟踪的同时还要兼顾内部稳定性，在克服系统负调的同时，要尽量提高其响应速度，普通的PID控制难以满足工程应用的需要。基于此，首先，提出了一种非最小相位对象工程控制及其整定方法，设计鲁棒PID控制器实现系统无差控制，提高系统稳定性，同时克服系统负调；然后，设计二阶滤波器，并引入系统位置误差、速度误差、加速度误差信息，以提高系统的响应速度，改善系统动态性能。该方法原理简单，整定方便，易于在DCS中组态实现，且对模型不确定性有较强的鲁棒性，具有较好工程应用价值。

关键词(KeyWords)： 非最小相位;H_∞控制;鲁棒PID;二阶滤波;改进帝国竞争算法

Abstract:

Keywords:

基金项目(Foundation): 海南省自然科学基金高层次人才项目（623RC506）;; 海南热带海洋学院科研项目（RHDRC202004）~~

作者(Author): 马增辉,梁枫,王连刚

DOI: 10.19666/j.rlfd.202305064

参考文献(References)：

• [1]叶林奇,宗群,田栢苓,等.非最小相位系统跟踪控制综述[J].控制理论与应用, 2017, 34(2):141-158.YE Linqi, ZONG Qun, TIAN Bailing, et al. Tracking control of nonminimum phase systems:an overview[J].Control Theory&Applications, 2017, 34(2):141-158.
• [2]苏善伟,朱波,向锦武,等.非线性非最小相位系统的控制研究综述[J].自动化学报, 2015, 41(1):9-21.SU Shanwei, ZHU Bo, XIANG Jinwu, et al. A survey on the control of nonlinear non-minimum phase systems[J].Acta Automatica Sinica, 2015, 41(1):9-21.
• [3] JOUILI K. Robust stabilization of non-minimum phase switched nonlinear systems with uncertainty[J]. Journal of Systems Science and Complexity, 2020, 33(2):289-311.
• [4] MA H F, LI Y M, XIONG Z H. A generalized inputoutput-based digital sliding-mode control for piezoelectric actuators with non-minimum phase property[J].International Journal of Control, Automation and Systems, 2019, 17(3):773-782.
• [5] PANDEY S, MAJHI S. Relay-based identification scheme for processes with non-minimum phase and time delay[J].IET Control Theory&Applications, 2019, 13(15):2507-2519.
• [6]晁涛,王雨潇,王松艳,等.考虑非最小相位特性的高超声速飞行器轨迹跟踪控制[J].系统工程与电子技术,2018, 40(7):1548-1553.CHAO Tao, WANG Yuxiao, WANG Songyan, et al.Trajectory tracking control for non-minium phase hypersonic vehicles[J]. Systems Engineering and Electronics, 2018, 40(7):1548-1553.
• [7] MICHA?EK M M, PAZDERSKI D. Forward tracking of complex trajectories with non-standard N-trailers of non-minimum-phase kinematics avoiding a jackknife effect[J]. International Journal of Control, 2019, 92(11):2547-2560.
• [8]马增辉,刘长良.一类非最小相位系统的PID控制器整定方法[J].信息与控制, 2015, 44(2):147-151.MA Zenghui,LIU Changliang. Tuning method for a PID controller in a non-minimum phase system[J].Information and Control, 2015, 44(2):147-151.
• [9] NAGARSHETH S H, SHARMA S N. Control of nonminimum phase systems with dead time:a fractional system viewpoint[J]. International Journal of Systems Science, 2020, 51(11):1905-1928.
• [10] BOUYEDDA H, LADACI S, SEDRAOUI M, et al.Identification and control design for a class of nonminimum phase dead-time systems based on fractionalorder Smith predictor and genetic algorithm technique[J].International Journal of Dynamics and Control, 2019,7(3):914-925.
• [11]陈增强,王永帅,孙明玮,等.非最小相位时滞系统新型Smith自抗扰控制及其鲁棒性[J].大连理工大学学报, 2019, 59(1):88-96.CHEN Zengqiang, WANG Yongshuai, SUN Mingwei,et al. A new type of active disturbance rejection control with Smith and its robustness for non-minimum phase time-delay systems[J]. Journal of Dalian University of Technology, 2019, 59(1):88-96.
• [12] QUAN Q, CAI K Y. Sampled-data repetitive control for a class of non-minimum phase nonlinear systems subject to period variation[J]. International Journal of Systems Science, 2020, 51(4):704-718.
• [13]张彬文,谭文,李健.水轮机负荷频率控制系统的线性自抗扰整定[J].电机与控制学报, 2019, 23(1):117-124.ZHANG Binwen, TAN Wen, LI Jian. Tuning of linear active disturbance rejection control for load frequency control systems with hydro turbines[J]. Electric Machines and Control, 2019, 23(1):117-124.
• [14]姜頔,刘向杰,孔小兵.核电站蒸汽发生器水位的软约束预测控制[J].自动化学报, 2019, 45(6):1111-1121.JIANG Di, LIU Xiangjie, KONG Xiaobing. Soft constrained MPC on water level control in steam generator of a nuclear power plant[J]. Acta Automatica Sinica, 2019, 45(6):1111-1121.
• [15]尹琦,潘蕾,沈炯,等.基于闭环辨识的除氧器水位最优前馈-反馈控制器设计[J].工程热物理学报, 2020,41(10):2380-2385.YIN Qi, PAN Lei, SHEN Jiong, et al. Design of optimal feedforward-feedback controller based on closed-loop identification model of deaerator water level system[J].Journal of Engineering Thermophysics, 2020, 41(10):2380-2385.
• [16]杨亮亮,王飞,史伟民.非最小相位系统自适应模型逆技术研究[J].机电工程, 2019, 36(4):428-433.YANG Liangliang, WANG Fei, SHI Weimin. Adaptive model-inverse technology for non-minimum phase system[J]. Journal of Mechanical&Electrical Engineering, 2019, 36(4):428-433.
• [17]陈金元,李相俊,谢巍.基于H∞混合灵敏度的微电网频率控制[J].电网技术, 2014, 38(9):2399-2403.CHEN Jinyuan, LI Xiangjun, XIE Wei. Microgrid frequency control based on H∞mixed sensitivity[J].Power System Technology, 2014, 38(9):2399-2403.
• [18]刘帅,刘长良.基于帝国竞争算法的主汽温控制系统参数优化研究[J].系统仿真学报, 2017, 29(2):368-373.LIU Shuai, LIU Changliang. Cascade PID parameter optimization of main steam temperature control system based on imperialist competitive algorithm[J]. Journal of System Simulation, 2017, 29(2):368-373.
• [19]黄丰云,熊雄,周铮,等.遗传帝国竞争混合算法在装配序列规划中的研究与应用[J].机械设计与制造,2022, 373(3):266-271.HUANG Fengyun, XIONG Xiong, ZHOU Zheng, et al.Research and application of hybrid genetic imperial competition algorithms in assembly sequence planning[J].Machinery Design&Manufacture, 2022, 373(3):266-271.
• [20]刘建民,韩璞,开平安,等.基于动力学等价的一种通用控制器的设计[J].控制理论与应用, 2008, 25(6):1155-1157.LIU Jianmin, HAN Pu, KAI Ping’an, et al. Design of a general controller based on dynamics identity[J]. Control Theory&Applications, 2008, 25(6):1155-1157.