Feedback control design for discrete-ime piecewise affine systems

山东大学学报(工学版)

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Feedback control design for discrete-ime piecewise affine systems

收稿日期:2007-04-28 修回日期:1900-01-01 出版日期:2007-06-24 发布日期:2007-06-24

Feedback control design for discretetime piecewise affine systems

XU Jun¹^,², XIE Li-hua²

1. Temasek Laboratories,National University of Singapre,Singapore 117508,Singapore;2. School of Electrical and Electronic Engineering,Nanyang Technological University,

Received:2007-04-28 Revised:1900-01-01 Online:2007-06-24 Published:2007-06-24
Contact: XIE Li-hua

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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.

Key words: discretetime systems, linear matrix inequalities, feedback control , piecewise affine systems

. Feedback control design for discrete-ime piecewise affine systems[J]. 山东大学学报(工学版), 2007, 37(3): 1-10 .

XU Jun,XIE Li-hua . Feedback control design for discretetime piecewise affine systems[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(3): 1-10 .

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Feedback control design for discrete-ime piecewise affine systems

Feedback control design for discretetime piecewise affine systems

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