A new generator of causal ideal internal dynamics for a class of unstable linear differential equations |
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| Authors: | Quan Quan Kai‐Yuan Cai |
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| Affiliation: | Department of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing, China |
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| Abstract: | The generator design for causal ideal internal dynamics (IID), namely, solving IID, is a fundamental problem in a nonminimum‐phase output tracking process. In this paper, for a class of unstable matrix differential equations, a new causal IID generator is proposed, whose parameters are partly chosen via  optimization. Compared with existing similar design schemes, it is applicable to matrix differential equations with singular system matrices. Also, it requires less computation, avoids taking higher order derivatives, and can be easily extended to treat slowly time‐varying matrix differential equations without the need for extra computation. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | nonminimum‐phase systems ideal internal dynamics causal case tracking |
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optimization. Compared with existing similar design schemes, it is applicable to matrix differential equations with singular system matrices. Also, it requires less computation, avoids taking higher order derivatives, and can be easily extended to treat slowly time‐varying matrix differential equations without the need for extra computation. Copyright © 2016 John Wiley & Sons, Ltd.