Continuous fixed-time convergent regulator for dynamic systems with unbounded disturbances |
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| Authors: | Michael Basin Pablo Rodriguez-Ramirez Steven X Ding Tim Daszenies Yuri Shtessel |
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| Institution: | 1. Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, San Nicolas de los Garza, Nuevo Leon, Mexico;2. ITMO University, St. Petersburg, Russia;3. Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg, Germany;4. Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, AL, United States |
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| Abstract: | This paper presents a novel continuous fixed-time convergent control law for dynamic systems in the presence of unbounded disturbances. A continuous fixed-time convergent control is designed to drive all states of a multi-dimensional integrator chain at the origin for a finite pre-established (fixed) time, using a scalar input. The fixed-time convergence is established and the uniform upper bound of the settling time is computed. The designed control algorithm is applied to fixed-time stabilization of two mechatronic systems, a cart inverted pendulum and a single machine infinite bus turbo generator with main steam valve control. |
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| Keywords: | Corresponding author |
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