Switching control and time-delay identification |
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| Affiliation: | 1. College of Mechanical and Electronic Engineering, China University of Geosciences, Wuhan 430074, China;2. Department of Mechanics, Tianjin University, Tianjin 300072, China;3. School of Engineering, University of California, Merced, CA 95343, USA;1. Department of Mathematics, Linyi University, Linyi, Shandong 276005, PR China;2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, PR China;2. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, PR China |
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| Abstract: | The unknown time delay makes the control design a difficult task. When the lower and upper bounds of an unknown time delay of dynamical systems are specified, one can design a supervisory control that switches among a set of controls designed for the sampled time delays in the given range so that the closed-loop system is stable and the control performance is maintained at a desirable level. In this paper, we propose to design a supervisory control to stabilize the system first. After the supervisory control converges, we start an algorithm to identify the unknown time delay, either on-line or off-line, with the known control being implemented. Examples are shown to demonstrate the stabilization and identification for linear time invariant and periodic systems with a single control time delay. |
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| Keywords: | Dynamical systems Time delay Switching control Identification |
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