{"title":"Minimum-Time Output Control by Reference Interpolation for Linear Multivariable Systems","authors":"Luigi D'Alfonso, Giuseppe Fedele, Paolo Pugliese","doi":"10.1049/cth2.70054","DOIUrl":null,"url":null,"abstract":"<p>For linear multivariable systems, we consider the minimum-time output control problem with explicit constraints on the inputs' intensity and piecewise-constant controls. We face the problem by imposing that each output passes through a given set of points. The proposed solution consists in repeatedly solving a system of linear equations until all constraints on inputs' intensity are satisfied. The proof of a local inverse relationship between the control effort and the control time is given, which provides a convergence guarantee for the algorithm. Numerical simulations performed on a well-known benchmark are reported to assess the effectiveness of the proposed method.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"19 1","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.70054","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IET Control Theory and Applications","FirstCategoryId":"94","ListUrlMain":"https://ietresearch.onlinelibrary.wiley.com/doi/10.1049/cth2.70054","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
For linear multivariable systems, we consider the minimum-time output control problem with explicit constraints on the inputs' intensity and piecewise-constant controls. We face the problem by imposing that each output passes through a given set of points. The proposed solution consists in repeatedly solving a system of linear equations until all constraints on inputs' intensity are satisfied. The proof of a local inverse relationship between the control effort and the control time is given, which provides a convergence guarantee for the algorithm. Numerical simulations performed on a well-known benchmark are reported to assess the effectiveness of the proposed method.
期刊介绍:
IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces.
Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed.
Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.