eprintid: 4017 rev_number: 11 eprint_status: archive userid: 87 dir: disk0/00/00/40/17 datestamp: 2018-03-12 11:01:45 lastmod: 2018-03-12 11:01:45 status_changed: 2018-03-12 11:01:45 type: article metadata_visibility: show creators_name: Worthmann, Karl creators_name: Mehrez, Mohamed W. creators_name: Zanon, Mario creators_name: Mann, George K.I. creators_name: Gosine, Raymond G. creators_name: Diehl, Moritz creators_id: creators_id: creators_id: mario.zanon@imtlucca.it creators_id: creators_id: creators_id: title: Regulation of Differential Drive Robots using Continuous Time MPC without Stabilizing Constraints or Costs ispublished: pub subjects: T1 divisions: CSA full_text_status: restricted pres_type: paper keywords: nonholonomic mobile robots; model predictive control; regulation; nonlinear control abstract: In this paper, model predictive control (MPC) of differential drive robots is considered. Here, we solve the set point stabilization problem without incorporating stabilizing constraints and/or costs in the MPC scheme. In particular, we extend recent results obtained in a discrete time setting to the continuous time domain. To this end, so called swaps and replacements are introduced in order to validate a growth condition on the value function and, thus, to rigorously prove asymptotic stability of the MPC closed loop for nonholonomic robots. date: 2015 date_type: published publication: IFAC-PapersOnLine volume: 48 number: 23 publisher: Elsevier pagerange: 129-135 event_title: IFAC World Congress event_type: conference id_number: doi:10.1016/j.ifacol.2015.11.272 refereed: TRUE issn: 2405-8963 official_url: http://doi.org/10.1016/j.ifacol.2015.11.272 citation: Worthmann, Karl and Mehrez, Mohamed W. and Zanon, Mario and Mann, George K.I. and Gosine, Raymond G. and Diehl, Moritz Regulation of Differential Drive Robots using Continuous Time MPC without Stabilizing Constraints or Costs. IFAC-PapersOnLine, 48 (23). pp. 129-135. ISSN 2405-8963 (2015) document_url: http://eprints.imtlucca.it/4017/1/1-s2.0-S2405896315025562-main.pdf