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

Rong-Rong Liu, Jun Xiong and Zaolin Zhang

Applied Mathematics and Computation, 2023, vol. 443, issue C

Abstract: This paper considers the problem of state feedback control for a class of polytopic uncertain 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 induced L∞ performance constraint. The introduced proportional plus derivative state feedback 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 L∞ control approach.

Keywords: Continuous-time singular systems; Polytopic uncertainties; Induced L∞ performance; Dynamic quantization; Actuator faults (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008335

DOI: 10.1016/j.amc.2022.127765

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