Sampled-data stabilization of a class of lower-order nonlinear systems with input delays based on a multi-rate control scheme |
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| Authors: | Jinping Jia Hao Dai Weisheng Chen |
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| Institution: | 1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China;2. School of Aerospace Science and Technology, Xidian University, Xi’an 710071, China;3. School of Mathematics and Statistics, Xidian University, Xi’an 710071, China |
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| Abstract: | This paper focuses on the problem of sampled-data stabilization for a class of low-order lower-triangular nonlinear systems with large input delays. A new predictor-based multi-rate sampled-data control scheme is proposed to guarantee that the resulting system is globally strongly stable under some assumptions. Compared with the existing methods, the present strategy just needs to know the approximate prediction of state variables, and the stabilizing performance of a given continuous-time feedback controller can be preserved at the sampling instants. It is noted that the proposed controller takes the form of a power series. Its truncation at a finite order is regarded as approximate controller which is proved to be effective in the practical implementation. Two simulation examples are finally given to illustrate the advantages and effectiveness of the proposed control scheme. |
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| Keywords: | Corresponding author at: School of Aerospace Science and Technology Xidian University Xi’an 710071 China |
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