{"title":"未知控制系数的多参数严格反馈系统的规定性能控制","authors":"Junmin Peng;Jianbo Li;Chao Huang;Xin Wang","doi":"10.1109/TASE.2025.3582230","DOIUrl":null,"url":null,"abstract":"This paper investigates the problem of prescribed performance control (PPC) for multiple parametric strict feedback (PSF) systems with unknown control coefficients in switching topologies. The synchronization error is regulated into the prescribed performance constraints within a user-given time, and agents’ outputs are synchronized accurately; furthermore, the results are independent of initial values. Compared with existing research with the same problem formulation, this paper investigates a more general case, reduces the communication load, and obtains a global result. The numerical simulations confirm the feasibility of the control algorithm presented. <italic>Note to Practitioners</i>—This paper is motivated by the unsatisfactory performance during the control of multiple systems with unknown control coefficients, such as Norrbin systems and hypersonic vehicles with actuator gain failure. This is owing to the divergent properties of the Nussbaum function, which is considered an effective method for handling the unknown control coefficient. Most of the existing methods for studying such systems focus on the steady-state performance and ignore the transient progress. This paper unites prescribed performance control (PPC), backstepping control, and cooperative control to realize steady-state and transient control objectives simultaneously and removes the restrictions on initial values, which frequently arise in traditional PPC. Therefore, the result is global. The proposed controller guarantees that the synchronization errors are limited within a prescribed range and ultimately converge to 0; that is, the output synchronization is achieved precisely. Moreover, it only requires the output information of agents to be transmitted throughout the communication network and reduces the communication burden. We then show two simulation examples to demonstrate the validity of the algorithm. In future research, we will consider the impact of time delays.","PeriodicalId":51060,"journal":{"name":"IEEE Transactions on Automation Science and Engineering","volume":"22 ","pages":"17098-17108"},"PeriodicalIF":6.4000,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prescribed Performance Control for Multiple Parametric Strict Feedback Systems With Unknown Control Coefficients\",\"authors\":\"Junmin Peng;Jianbo Li;Chao Huang;Xin Wang\",\"doi\":\"10.1109/TASE.2025.3582230\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the problem of prescribed performance control (PPC) for multiple parametric strict feedback (PSF) systems with unknown control coefficients in switching topologies. The synchronization error is regulated into the prescribed performance constraints within a user-given time, and agents’ outputs are synchronized accurately; furthermore, the results are independent of initial values. Compared with existing research with the same problem formulation, this paper investigates a more general case, reduces the communication load, and obtains a global result. The numerical simulations confirm the feasibility of the control algorithm presented. <italic>Note to Practitioners</i>—This paper is motivated by the unsatisfactory performance during the control of multiple systems with unknown control coefficients, such as Norrbin systems and hypersonic vehicles with actuator gain failure. This is owing to the divergent properties of the Nussbaum function, which is considered an effective method for handling the unknown control coefficient. Most of the existing methods for studying such systems focus on the steady-state performance and ignore the transient progress. This paper unites prescribed performance control (PPC), backstepping control, and cooperative control to realize steady-state and transient control objectives simultaneously and removes the restrictions on initial values, which frequently arise in traditional PPC. Therefore, the result is global. The proposed controller guarantees that the synchronization errors are limited within a prescribed range and ultimately converge to 0; that is, the output synchronization is achieved precisely. Moreover, it only requires the output information of agents to be transmitted throughout the communication network and reduces the communication burden. We then show two simulation examples to demonstrate the validity of the algorithm. In future research, we will consider the impact of time delays.\",\"PeriodicalId\":51060,\"journal\":{\"name\":\"IEEE Transactions on Automation Science and Engineering\",\"volume\":\"22 \",\"pages\":\"17098-17108\"},\"PeriodicalIF\":6.4000,\"publicationDate\":\"2025-06-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Automation Science and Engineering\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11045951/\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Automation Science and Engineering","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/11045951/","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Prescribed Performance Control for Multiple Parametric Strict Feedback Systems With Unknown Control Coefficients
This paper investigates the problem of prescribed performance control (PPC) for multiple parametric strict feedback (PSF) systems with unknown control coefficients in switching topologies. The synchronization error is regulated into the prescribed performance constraints within a user-given time, and agents’ outputs are synchronized accurately; furthermore, the results are independent of initial values. Compared with existing research with the same problem formulation, this paper investigates a more general case, reduces the communication load, and obtains a global result. The numerical simulations confirm the feasibility of the control algorithm presented. Note to Practitioners—This paper is motivated by the unsatisfactory performance during the control of multiple systems with unknown control coefficients, such as Norrbin systems and hypersonic vehicles with actuator gain failure. This is owing to the divergent properties of the Nussbaum function, which is considered an effective method for handling the unknown control coefficient. Most of the existing methods for studying such systems focus on the steady-state performance and ignore the transient progress. This paper unites prescribed performance control (PPC), backstepping control, and cooperative control to realize steady-state and transient control objectives simultaneously and removes the restrictions on initial values, which frequently arise in traditional PPC. Therefore, the result is global. The proposed controller guarantees that the synchronization errors are limited within a prescribed range and ultimately converge to 0; that is, the output synchronization is achieved precisely. Moreover, it only requires the output information of agents to be transmitted throughout the communication network and reduces the communication burden. We then show two simulation examples to demonstrate the validity of the algorithm. In future research, we will consider the impact of time delays.
期刊介绍:
The IEEE Transactions on Automation Science and Engineering (T-ASE) publishes fundamental papers on Automation, emphasizing scientific results that advance efficiency, quality, productivity, and reliability. T-ASE encourages interdisciplinary approaches from computer science, control systems, electrical engineering, mathematics, mechanical engineering, operations research, and other fields. T-ASE welcomes results relevant to industries such as agriculture, biotechnology, healthcare, home automation, maintenance, manufacturing, pharmaceuticals, retail, security, service, supply chains, and transportation. T-ASE addresses a research community willing to integrate knowledge across disciplines and industries. For this purpose, each paper includes a Note to Practitioners that summarizes how its results can be applied or how they might be extended to apply in practice.