Reliable induced L∞ control for polytopic uncertain continuous-time singular systems with dynamic quantization

作者：Liu, Rong-Rong; Xiong, Jun^*; Zhang, Zaolin

来源：APPLIED MATHEMATICS AND COMPUTATION, 2023, 443: 127765.

DOI：10.1016/j.amc.2022.127765

• Continuous-time singular systems
• Polytopic uncertainties
• Induced L&infin
• performance
• Dynamic quantization
• Actuator faults

This paper considers the problem of state feedback control for a class of polytopic un-certain continuous-time singular systems with input quantization and actuator faults. The aim of this paper is to design the reliable controller and dynamic quantizer that ensure the considered closed-loop system is asymptotically stable and satisfies the prescribed in-duced G . performance constraint. The introduced proportional plus derivative state feed-back controller can eliminate the structural restrictions of the system matrices, thus a more general sufficient condition is obtained for the problem. Finally, the four-mesh circuit is provided to demonstrate the effectiveness of the proposed induced G . control approach.

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