| Feedback control design for discrete-ime piecewise affine systems |
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| 作者姓名： | XU Jun XIE Li-hua |
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| 作者单位： | 1.Temasek Laboratories，National University of Singapre，Singapore 117508，Singapore;2.School of Electrical and Electronic Engineering，Nanyang Technological University，Singapore 639798，Singapore |
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| 摘 要： | This paper investigates the design of state feedback and dynamic output feedback stabilizing controllers for discrete-time piecewise affine(PWA) systems.The main objective is to derive design methods that will incorporate the partition information of the PWA systems so as to reduce the design conservatism embedded in existing design methods.We first introduce a transformation that converts the feedback control design problem into a bilinear matrix inequality(BMI) problem.Then,two iterative algorithms are proposed to compute the feedback controllers characterized by the BMI.Several simulation examples are given to demonstrate the advantages of the proposed design.
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| 关 键 词： | piecewise affine systems discretetime systems linear matrix inequalities feedback control |
| 文章编号： | 1672-3961(2007)03-0001-10 |
| 收稿时间： | 2007-04-28 |
| 修稿时间： | 2007年4月28日 |
Feedback control design for discrete-time piecewise affine systems |
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| XU Jun,XIE Li-hua.Feedback control design for discrete-ime piecewise affine systems[J].Journal of Shandong University of Technology,2007,37(3):1-10. |
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| Authors: | XU Jun XIE Li-hua |
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| Affiliation: | 1. Temasek Laboratories, National University of Singapre, Singapore 117508, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University,Singapore 639798, Singapore
2. School of Electrical and Electronic Engineering, Nanyang Technological University,Singapore 639798, Singapore |
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| Abstract: | This paper investigates the design of state feedback and dynamic output feedback stabilizing controllers for discrete-time piecewise affine(PWA) systems.The main objective is to derive design methods that will incorporate the partition information of the PWA systems so as to reduce the design conservatism embedded in existing design methods.We first introduce a transformation that converts the feedback control design problem into a bilinear matrix inequality(BMI) problem.Then,two iterative algorithms are proposed to compute the feedback controllers characterized by the BMI.Several simulation examples are given to demonstrate the advantages of the proposed design. |
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| Keywords: | piecewise affine systems discrete-time systems linear matrix inequalities feedback control |
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