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Robust Stability Analysis of smith predictor Based Interval Fractional-Order Control Systems:A Case Study in Level Control Process

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IEEE/CAA Journal of Automatica Sinica 2023年第3期10卷 762-780页

作者： Majid Ghorbani Mahsan Tavakoli-Kakhki Aleksei Tepljakov Eduard Petlenkov Department of Computer Systems Tallinn University of TechnologyTallinn 12618Estonia Faculty of Electrical Engineering K.N.Toosi University of TechnologyTehran ***Iran IEEE

The robust stability study of the classic smith predictor-based control system for uncertain fractional-order plants with interval time delays and interval coefficients is the emphasis of this *** uncertainties are a type of parametric uncertainties that cannot be avoided when modeling real-world ***,in the considered smith predictor control structure it is supposed that the controller is a fractional-order proportional integral derivative(FOPID)*** the best of the authors'knowledge,no method has been developed until now to analyze the robust stability of a smith predictor based fractional-order control system in the presence of the simultaneous uncertainties in gain,time-constants,and time *** three primary contributions of this study are as follows:ⅰ)a set of necessary and sufficient conditions is constructed using a graphical method to examine the robust stability of a smith predictor-based fractionalorder control system—the proposed method explicitly determines whether or not the FOPID controller can robustly stabilize the smith predictor-based fractional-order control system;ⅱ)an auxiliary function as a robust stability testing function is presented to reduce the computational complexity of the robust stability analysis;andⅲ)two auxiliary functions are proposed to achieve the control requirements on the disturbance rejection and the noise ***,four numerical examples and an experimental verification are presented in this study to demonstrate the efficacy and significance of the suggested technique.

关键词： Interval uncertainty FOPID controller fractional-order systems robust stability analysis smith predictor

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Application of smith predictor Based on Single Neural Network in Cold Rolling Shape Control

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Chinese Journal of Mechanical Engineering 2009年第2期22卷 282-286页

作者： WANG Yiqun SUN FD LIU Jian SUN Menghui XIE Yihan College of Mechanical Engineering Yanshan University Qinhuangdao 066004 China School of Information Science and Technology Tsinghua University Beijing 100084 China

Flatness is one of the most important criterion factors to evaluate the quality of the steel strip. To improve the strip＇ s flatness quality, the most frequently used methodology is to employ the closed-loop automatic shape control system. However, in the shape control system, the shape-meter is always installed at the down way of the exit of the cold rolling mill and can not sense the changes of the strip flatness in the rolling gap directly. This kind of installation results in the delay of the feedback in the control system. Therefore, the stability and response performance of the system are strongly affected by the delay. At present, there is still no mature way to design controllers for systems with time delay. Although the conventional PID controller used in most practical applications has the capability to compensate the delay, the effect of the compensation is limited, especially for the systems with long time delay. smith predictor, as a compensator for solving this problem, is now widely used in industry systems. However, the request of highly precise model of the system and the poor adaptive performance to the changes of related parameters limit the application of the smith predictor in practice. In order to overcome the drawbacks of the smith predictor, a new smith predictor based on single neural network PID （SNN-PID） is proposed. Because the single neural network is employed into the smith predictor to improve the controller＇s self-adaptability, the adaptive capability to the varying parameters of the system is improved. Meanwhile, for the purpose of solving the problems such as time-consuming and complicated calculation of the neural networks in real time, the learning coefficient of neural network is divided into several stages as usually done in expert control system. Therefore, the control system can obtain fast response due to the improved calculation speed of the neural networks. In order to validate the performance of the proposed controller, th

关键词： shape control time delay single neural network smith predictor

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Robust tuning method for modified smith predictor

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Journal of Systems Engineering and Electronics 2007年第1期18卷 89-94页

作者： Zhang Guanghui Qian Feng Shao Huihe Inst. of Automation East China Univ. of Science and Technology Shanghai 200237 P. R. China Inst. of Automation Shanghai Jiaotong Univ. Shanghai 200030 P. R. China

A robust tuning method for ο^Astroem＇s two-degree of Freedom Modified smith predictor （MSP） is proposed, and it can achieve the fast setpoint and load disturbance responses independently. The tuning rules may meet the requirements within a certain delay margin according to the robustness theory. The simulation results illustrate that the tuning method is efficient compared with other controllers. Finally, the MSP controller is applied to the 15L batch fermentation system for controlling the temperature in bioreactor, and the experiment results further verify that the robust tuning rules may achieve good performance.

关键词： Tuning smith predictor Robusmess Integrating processes Temperature control

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Tuning of fuzzy PID controller for smith predictor

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Journal of Central South University 2010年第3期17卷 566-571页

作者：荣辉桂郑蕙黎峥强夏宇翔 School of Software Hunan University School of Information Management Wuhan University School of International Studies Hunan University of Commerce

An analytical tuning method was proposed for fuzzy PID controller used in smith predictor in order to extend its application and improve its robustness. The fuzzy PID controller was expressed as a sliding mode control. Based on Lyapunov theory, smith predictor was analyzed in time domain. The parameters of the fuzzy PID controller can be obtained using traditional linear control theory and sliding mode control theory. The simulation experiments were implemented. The simulation results show that the control performance, robustness and stability of the fuzzy PID controller are better than those of the PID controller in smith predictor.

关键词： smith predictor Lyapunov theory fuzzy PID controller robustness

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A simple anti-windup method for the Modified smith predictor

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Journal of Harbin Institute of Technology(New Series) 2007年第5期14卷 732-736页

作者：张广辉钱锋邵惠鹤 Institute of Automation East China University of Science and Technology Institute of Automation Shanghai Jiaotong University

For the first-order integrating processes with long delay, a Modified smith predictor (MSP) was analyzed when the control signal saturated. If the MSP controller has no anti-windup scheme, the saturation effectively chops off the control input resulting in performance deterioration. Thus, a simple and effective anti-windup scheme, without an additional parameter, is designed for the MSP. Simulation results illustrate that the proposed method may achieve good performance under the nominal and model uncertainty cases.

关键词： anti-windup integrating processes smith predictor time-delay system

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Design and analysis of a proportional-integral controller based on a smith predictor for TCP/AQM network systems

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Frontiers of Information Technology & Electronic Engineering 2022年第2期23卷 291-303页

作者： Ouassim MENACER Abderraouf MESSAI Lazhar KASSA-BAGHDOUCHE Department of Electronics Faculty of Technology SciencesFreres Mentouri University of Constantine 125000 ConstantineAlgeria Department of Electronics and Telecommunications Faculty of Science and Technology8 May 1945 University of Guelma24000 GuelmaAlgeria

Active queue management(AQM)is essential to prevent the degradation of quality of service in TCP/AQM systems with round-trip time(RTT)*** delays are primarily caused by packet-propagation delays,but they can also be caused by the processing time of queuing operations and dynamically changing network *** study focuses on the design and analysis of an AQM digital controller under time-delay *** controller is based on the smith predictor algorithm and is called the smithPI *** study also demonstrates the stability of the controller and its robustness against network parameter variations such as the number of TCP connections,time delays,and user datagram protocol *** performance,robustness,and effectiveness of the proposed smithPI controller are evaluated using the NS-2 ***,the performance of the smithPI controller is compared with that of a well-known queue-based AQM,called the proportional-integral controller.

关键词： Active queue management Transport control protocol Round-trip time delay smith predictor

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smith predictor in The DDE Application

Smith Predictor in The DDE Application

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第24届中国控制与决策会议

作者： ZHANG Yuwen 1 , LI Donghai 2 , LAO Dazhong 1 1. School of Aerospace Engineering, Beijing institute of technology, Beijing 1000812. State Key Lab of Power Systems, Dept. of Thermal Engineering, Tsinghua University, Beijing 100084

In order to solve the problem that the Desired Dynamic Equation（referred to as DDE） does not be applied to large time delay problem of the controlled plant, a new method which combines smith predictor with DDE is proposed. It expands the use of DDE, using fruit fly algorithm based on the best ITAE index to the optimization of the parameter tuning, and is used to the control of typical industry large time delay plants. Simulation results show that the new structure gives better control to the large time delay plants than DDE in the optimization index.

关键词： Large Time Delay Desired Dynamic Equation(DDE) smith predictor Fruit Fly Algorithm(FOA).

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Wireless Networked Control Systems with GPC and New smith predictor

Wireless Networked Control Systems with GPC and New Smith Pr...

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2010 Chinese Control and Decision Conference

作者： Feng Du,Wencai Du,Yukuan Du,Baodan Chen College of Information Sciences & Technology,Hainan University,Haikou 570228

＜正＞Wireless network delay is the main factor that deteriorates the performance of the wireless networked control systems（WNCS）.In order to effectively restrain the impact of network delay,a new approach is proposed that novel smith predictor combined with generalized predictive control（GPC） for the *** novel smith predictor hides predictor models of the network delays into real network data transmission processes,further the network delay no longer need to be measured,identified or estimated *** this new smith predictor doesn’t include the prediction model of the controlled plant,thus it doesn’t need to know the exact mathematical model of the controlled *** is applicable to some occasions that network delay is random,time-variant or uncertain,and there are some data dropouts in closed *** on IEEE 802.11b/g（WLAN）,the results of simulation show that this approach is effective.

关键词： Generalized predictive control Wireless networked control systems Network delay smith predictor

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Joint smith predictor and Neural Network Estimation Scheme for Compensating Randomly Varying Time-delay in Networked Control System

Joint Smith Predictor and Neural Network Estimation Scheme f...

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第24届中国控制与决策会议

作者： Xuan-Kien Dang 1 , Zhi-Hong Guan 1 , Tao Li 2 , Ding-Xue Zhang 3 1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China2. Electronic and Information College, Yangtze University, Jingzhou, 420400, P. R. China 3. Petroleum and Engineering College, Yangtze University, Jingzhou, 420400, P. R. China

In this paper, we dealt with the problems of network induced delay and randomly varying time-delay （RVTD） controlled plant in networked control systems （NCS）. These inherent challenges make the conventional control methods, e.g, a mathematical model of smith predictor combined with fuzzy adaptive controller, more difficult to meet the quality requirements for NCS stability. Specifically, based on analyzing the existing techniques, we propose a novel method to efficiently compensate the RVTD for NCS. This so-called RVTD compensator for the smith predictor using Neural network estimation scheme has not only the features of simple smith predict structure, but also the characteristics of adaptivity, stability, and fast response. The simulation results via TrueTime Beta2.0 platform demonstrate that our design significantly improves the performance of NCS.

关键词： Fuzzy adaptive controller networked control system neural networks smith predictor time-delay estimation randomly varying time-delay.

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FRBF Neural Network and New smith predictor for Wireless Networked Control Systems

FRBF Neural Network and New Smith Predictor for Wireless Net...

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2009中国控制与决策会议

作者： Feng Du,Wencai Du College of Information Sciences & Technology,Hainan University,Haikou 570228

＜正＞Wireless network delay is the main factor that deteriorates the performance of the wireless networked control systems（WNCS）.In order to effectively restrain the impact of network delay,as well as controlled plant might be time-variant or nonlinear,a novel approach is proposed that new smith predictor combined with fuzzy radial basis function neural network（FRBFNN） for the *** new smith predictor hides predictor model of the network delay into real network data transmission process,further the network delay no longer need to be measured,identified or estimated *** this new smith predictor doesn’t include the prediction model of the controlled plant, thus it doesn’t need to know the exact mathematical model of the controlled plant *** is applicable to some occasions that network delay is random,time-variant or uncertain,larger than one,even tens of sampling periods,and there are some data dropouts in closed *** on IEEE 802.15.4（ZigBee）,the results of simulation show that this approach is effective.

关键词： Fuzzy radial basis function neural network(FRBFNN) Wireless networked control systems(WNCS) Network delay smith predictor

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