非最小相位系统的复杂控制算法研究

doi:10.16180/j.cnki.issn1007-7820.2021.01.010

Abstract

Abstract:

For the undershoot caused by zeroes in the right-half plane of non-minimum phase systems, in order to suppress the undershoot and time lag of non-minimum phase systems, a two-step PID tuning method combined with the Smith predictive controller is proposed as a complex control algorithm. The algorithm achieves the effective of suppressing the undershoot of non-minimum phase systems by adjusting the pre-coefficient and PID parameters and applies it to the Smith predictive control structure to achieve the purpose of improving the system response time. The simulation model is established by using Simulink in MATLAB software to simulate a typical second-order control system. The simulation results show that the complex control algorithm eliminates the negative adjustment of the system, and verifies the effectiveness and robustness of the complex control algorithm.

Key words: non-minimum phase system, Smith predictor, PID controller, two-step tuning method, complex control algorithm, MATLAB simulation

CLC Number:

TP13

WANG Jiaren,WANG Yagang. Research on Complex Control Algorithms for Non-Minimum Phase Systems[J].Electronic Science and Technology, 2021, 34(1): 55-59.

Figures/Tables 9

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Table 1

Figure 7.

Figure 8.

References 16

[1]	Zhao H, Chen D. Tip trajectory tracking for multilink flexible manipulators using stable inversion[J]. Journal of Guidance Control and Dynamics, 1998,21(2):314-320.
[2]	Ruiz-Duarte J E, Loukianov A G. Higher order sliding mode control for autonomous underwater vehicles in the diving plane[J]. IFAC-Papers on Line, 2015,48(16):49-54.
[3]	朱斌, 陈庆伟. 输出重定义方法设计垂直/短距起降飞机高度控制器[J]. 控制理论与应用, 2019,36(6):1009-1016.
	Zhu Bin, Chen Qingwei. Altitude controller design for vertical or short takeoff and landing aircraft with output redefinition method[J]. Control Theory and Applications, 2019,36(6):1009-1016.
[4]	Consolini L, Tosques M. A minimum phase output in the exact tracking problem for the nonminimum phase underactuated surface ship[J]. IEEE Transactions on Automatic Control, 2012,57(12):3174-3180. doi: 10.1109/TAC.2012.2199178
[5]	吴昊, 毛新涛, 刘鹭航, 等. 柔性关节空间机械臂的自适应滑模控制[J]. 宇航学报, 2019,40(6):703-710.
	Wu Hao, Mao Xintao, Liu Luhang, et al. Adaptive sliding mode control for flexible joint space manipulators[J]. Journal of Astronautics, 2019,40(6):703-710.
[6]	Su S. Output-feedback dynamic surface control for a class of nonlinear non-minimum phase systems[J]. IEEE/CAA Journal of Automatica Sinica, 2016,3(1):96-104.
[7]	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(2):141-158.
	Ye Linqi, Zong Qun, Tian Bailing, et al. Tracking control of nonminimum phase systems: an overview[J]. Control Theory and Applications, 2017,34(2):141-158.
[8]	Ye L, Zong Q, Zhang X. Adaptive control for a non-minimum phase hypersonic vehicle model[C]. Hangzhou:Proceedings of the Thirty-fourth Chinese Control Conference, 2015.
[9]	Smith O J M. A controller to overcome dead time[J]. ISA Transactions, 1959,6(2):28-33.
[10]	王旭东. Smith预估补偿器及其应用[J]. 控制工程, 2002(5):69-71.
	Wang Xudong. Smith's predictive compensator and it's application[J]. Control Engineering of China, 2002(5):69-71.
[11]	刘启辉, 文云, 张云龙. 基于一阶时滞系统的Smith预估器控制研究[J]. 自动化技术与应用, 2014,33(9):11-13,17.
	Liu Qihui, Wen Yun, Zhang Yunlong. Research of Smith predictor controller based on first-order dynamics plus dead time[J]. Techniques of Automation and Applications, 2014,33(9):11-17.
[12]	Ma Z H, Liu C L. Tuning method for a PID controller in a nonminimum phase system[J]. Information and Control, 2015,44(2):147-151.
[13]	开平安, 刘建民, 焦嵩鸣, 等. 火电厂热工过程先进控制技术[M]. 北京: 中国电力出版社, 2010.
	Kai Ping’an, Liu Jianmin, Jiao Songming, et al. Advanced control technology for thermal process in thermal power plants[M]. Beijing: China Electric Power Press, 2010.
[14]	刘建民. 火电厂热工过程优化控制策略及应用研究[D]. 北京:华北电力大学, 2009.
	Liu Jianmin. Optimization control stratedies and application studies in thermal system of power plant[D]. Beijing:North China Electric Power University, 2009.
[15]	孙金根, 霍英楠, 陈怡, 等. Fuzzy-PID复合控制在低压铸造中的应用研究[J]. 电子科技, 2018,31(9):18-20.
	Sun Jingen, Huo Yingnan, Chen Yi, et al. Application of Fuzzy-PID composite control in low pressure casting[J]. Electronic Science and Technology, 2018,31(9):18-20.
[16]	刘长良, 马增辉. Smith预估模型参数仿真分析及多目标优化[J]. 系统仿真学报, 2014(8):1706-1712.
	Liu Changliang, Ma Zenghui. Simulation analysis and multi-objective optimization of Smith-predictor parameters tuning[J]. Journal of System Simulation, 2014(8):1706-1712.

控制方法	负调/%	系统响应速度/s
Smith预估控制法	22.0	12
两步PID参数整定法	0.0	55
本文复杂控制算法	1.6	32

Research on Complex Control Algorithms for Non-Minimum Phase Systems

RichHTML

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 9

References 16

Related Articles 15

Metrics

Comments

Recommended 0

[1]	LIU Jianlong,HAO Zhenghang. Comparative Study of Wind Power System Simulation Based on Back-to-Back Converters [J]. Electronic Science and Technology, 2022, 35(2): 67-73.
[2]	WANG Yang,WANG Yagang. Identification Method Based on Step Response and Genetic Algorithm to Optimize Higher-Order Plus Time-Delay Model [J]. Electronic Science and Technology, 2021, 34(9): 41-46.
[3]	YAN Zhenbin,ZHENG Bochao,ZHOU Zhiyong. Research on Grid Connection of Photovoltaic Power Generation Systems Based on a New Robust Droop Control Method [J]. Electronic Science and Technology, 2021, 34(8): 79-86.
[4]	CUI Yue,ZHANG Wei. A Two Degreeof Freedom PID Control Algorithm for Aircraft Pitch Angle [J]. Electronic Science and Technology, 2020, 33(3): 44-49.
[5]	JIANG Pengcheng,TANG Zhanjun,LIU Pinglan. Simulation Study of Photovoltaic MPPT Based on Variable Universe Fuzzy Control [J]. Electronic Science and Technology, 2020, 33(11): 16-23.
[6]	LI Yudong,HU Xiaodan,LIAN Haishan. Three-phase Pulse Blocking Type AC-AC Frequency Conversion When Input Voltage is Unbalanced [J]. Electronic Science and Technology, 2020, 33(11): 31-35.
[7]	LU Jianfeng,XU Xiaozhuo,GAO Yan,DU Han. Study on Lateral Air Gap Control of a Detent-force-based Magnetic Suspension Platform [J]. Electronic Science and Technology, 2020, 33(10): 15-20.
[8]	DU Meijun,ZHANG Wei,XIE Yalian. Particle Swarm Optimization Based PID Controller Parameter Optimization [J]. Electronic Science and Technology, 2019, 32(6): 7-11.
[9]	SHAN Yongming,WANG Yagang,WANG Kai. Modeling Identification for High Order Process with Time-delay in the Frequency Domain [J]. Electronic Science and Technology, 2019, 32(3): 6-9.
[10]	WANG Zhixiang1, WANG Zhuping2. Application of MRAC in the Position Servo Control System [J]. , 2016, 29(9): 30-.
[11]	XU Xiaodong, DAI Shuguang. Analysis of model for Brushless DC Motor Based on Improved WFPSO Algorithm [J]. , 2016, 29(9): 37-.
[12]	LI Dengke, YANG Wenhuan, HOU Tiantian, HUANG Minyao. Cascaded Static Var Generator Based on Current Deadbeat Control [J]. , 2016, 29(8): 17-.
[13]	ZHANG Yang. Computer Image Denoising Algorithm Based on Wavelet Decomposition [J]. , 2016, 29(8): 103-.
[14]	CAI Shumin1, WANG Yagang1, TIAN Tao2 . Research on Intelligent PID Control Algorithm and Matlab Simulation [J]. , 2016, 29(7): 43-.
[15]	ZHU Xianhe，YANG Shiping. Signal Denoising Research Based on Wavelet Transform [J]. , 2016, 29(6): 128-.