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2022, Volume 23, Issue 12

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Frontiers of Information Technology & Electronic Engineering >> 2022, Volume 23, Issue 12 doi: 10.1631/FITEE.2200294

Observer-based control for fractional-order singular systems with order

Affiliation(s): Institute of Robotics and Automatic Information System, Nankai University, Tianjin 300071, China; Tianjin Key Laboratory of Intelligent Robotics, Nankai University, Tianjin 300071, China; College of Sciences, Northeastern University, Shenyang 110819, China; Shenzhen Research Institute of Nankai University, Shenzhen 518083, China; less

Received: 2022-07-07 Accepted: 2022-12-14 Available online: 2022-12-14
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Abstract

In this paper, for fractional-order with order (0<<1) and is studied. On the basis of the Smith predictor and approximation error, the system with is approximately equivalent to the system without . Furthermore, based on the (LMI) technique, the necessary and sufficient condition of is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.

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