H∞ control for singular fractional-order interval systems: The 0<α<1 case
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Updated: Dec 6, 2025

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Published on: November 24, 2021
1Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China, No.800 Dong Chuan Road, Min Hang, Shanghai 200240, PR China.
Abstract:
This paper investigates the H∞ control problems of singular fractional-order interval systems with commensurate order 0<α<1. Firstly, novel conditions for the bounded real lemma in the sense of H∞ norm for nominal singular fractional-order systems are proposed, based on which the sufficient conditions for checking the admissibility and H∞ performance of singular fractional-order interval systems are derived. Secondly, the state feedback H∞ controller synthesis for singular fractional-order interval systems is addressed and the state feedback controller is designed. Thirdly, the dynamic output feedback H∞ controller synthesis for singular fractional-order interval systems is addressed and the dynamic output feedback controller is designed. Finally, three illustrative examples are given to show the effectiveness of the proposed results.
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