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Robust motion tracking control of partially nonholonomic mechanical systems
Affiliation:1. Department of Mechanical Engineering, Concordia University, Montreal, Quebec, H3G 1M8, Canada;2. D Robotics Institute, School of Mechanical Engineering, Shanghai Jiaotong University, No 1954, Hua Shan Road, Shanghai 200030, PR China;3. Department of Control Engineering, Kyushu Institute of Technology, 1-1 Sensui, Tobata, Kitakyushu, 804-8550, Japan;4. Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., Montreal, Quebec, H3G 1M8, Canada;1. Non-A team at Inria Lille, Parc Scientifique de la Haute Borne, 40 avenue Halley, 59650 Villeneuve d’Ascq, France;2. College of Engineering Mathematics and Physical Sciences, University of Exeter, Exeter EX4 4QF, UK;3. University of Bordeaux, IMS-lab, Automatic control group, 351 cours de la libération, 33405 Talence, France;1. School of Information Science and Engineering, Central South University, Changsha, Hunan Province, 410075, China;2. School of Information, Hunan University of Humanities, Science and Technology, Loudi, Hunan Province, 417000, China;1. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;2. Wuhan Second Ship Design and Research Institute, Wuhan 430064, China
Abstract:This paper proposes a stable motion tracking control law for mechanical systems subject to both nonholonomic and holonomic constraints. The control law is developed at the dynamic level and can deal with model uncertainties. The proposed control law ensures the desired trajectory tracking of the configuration state of the closed-loop system. A global asymptotic stability result is obtained in the Lyapunov sense. A detailed example is presented to illustrate the proposed method.
Keywords:
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