A novel control Lyapunov-Krasovskii functional methodology for simultaneous stabilization of a set of multiple time-delays nonlinear systems |
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| Authors: | A Dastaviz T Binazadeh Y Cui |
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| Institution: | 1. Shiraz University of Technology, Iran;2. Shenzhen University, China;1. School of Automation and Information Engineering, Xi’an University of Technology, China;2. Autonomous Systems and Intelligent Control International Joint Research Center, Xi’an Technological University, China;3. State Key Laboratory of Astronautic Dynamics, China;1. Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, Iran;2. Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran;1. Defence Research and Development Laboratory, Hyderabad, India;2. Indian Institute of Technology Bombay, Mumbai, India;1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, PR China;3. School of Science, Huzhou Teachers College, Zhejiang, Huzhou 313000, PR China |
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| Abstract: | This paper considers the simultaneous stabilization of a set of nonlinear systems, that involve uncertain nonlinearities besides multiple time-varying delays in the states. Under the assumption that the upper bounds of delays are known, a memoryless simultaneously stabilizing state feedback controller is presented by proposing a control Lyapunov-Krasovskii functional (CL-KF) method. As required to establish the CL-KF approach, a systematic procedure is given to construct CL-KFs for the systems under consideration. By the obtained CL-KFs, a common stabilizing state feedback control law is established to drive all the systems to the origin. Examples are finally given to verify the benefit of the proposed design method. |
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