{"title":"Computation of maximum hands-off control","authors":"Takuya Ikeda, M. Nagahara","doi":"10.1109/SICEISCS.2016.7470166","DOIUrl":"https://doi.org/10.1109/SICEISCS.2016.7470166","url":null,"abstract":"Maximum hands-off control is a control that has the minimum L0 norm among all feasible controls. So far, we have proved that the maximum hands-off control is equivalent to the L1-optimal control under the normality assumption and is in general equivalent to the Lp-optimal control with 0 <; p <; 1. In this paper, by utilizing these results we give a numerical optimization method for the maximum hands-off control. We adopt a time discretization approach. As the complexity of the approximated problem then grows exponentially, we instead solve the equivalent L1 or Lp-optimization. Under the normality assumption we apply the alternating direction method of multipliers (ADMM) for the maximum hands-off control, and otherwise we apply the successive linearization algorithm (SLA).","PeriodicalId":371251,"journal":{"name":"2016 SICE International Symposium on Control Systems (ISCS)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126815153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}