Robust normalization and H∞ stabilization for uncertain Takagi-Sugeno fuzzy singular systems with time-delays

Yunfei Mu, Huaguang Zhang, Hanguang Su and Yingchun Wang

Applied Mathematics and Computation, 2021, vol. 388, issue C

Abstract: This work deals with the simultaneous robust normalization and H∞ stabilization problems for uncertain Takagi-Sugeno fuzzy singular systems (TSFSSs) with time-delays via a novel fuzzy proportional-derivative state feedback controller (PDSFC). It is worth pointing out that the uncertainties involved in this paper exist in all different system matrices including Ei. Without using any model transformations, some new criteria that ensure the closed-loop system to be robustly normal and stable for all admissible uncertainties are exactly deduced by means of the free-weighting matrix method, and clearly expressed as strict linear matrix inequalities. Meanwhile, the prescribed H∞ performance is also achieved. Then, based on the obtained criteria, the specific expression of desired fuzzy PDSFC is given. Finally, the correctness and feasibility of our theoretical results are verified via two academic examples.

Keywords: Different derivative matrices; Linear matrix inequality; Nonlinear singular systems; Robust normalization and H∞ stabilization; Takagi-Sugeno fuzzy models (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320304902

DOI: 10.1016/j.amc.2020.125534

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