Sampled-data L2-L∞ Filter-based Fuzzy Control for Active Suspensions

• Published in: IEEE access Vol. 11; p. 1
• Main Authors: Lee, Yong Jun, Pae, Dong Sung, Choi, Hyun Duck, Lim, Myo Taeg
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">L <sub xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">2 - <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">L <sub xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">∞ filter; Active control; Active suspension system; Closed loops; Control systems; Delays; Disturbances; Feedback control; Filtering theory; Fuzzy control; input delay approach; L2-L∞ filter; Linear matrix inequalities; Output feedback; Road traffic; sampled-data system; Suspension systems; Suspensions (mechanical systems); Takagi-Sugeno fuzzy system; Tires
• ISSN: 2169-3536
• DOI: 10.1109/ACCESS.2023.3250643

In this paper, we present a new sampled-data L 2 - L ∞ filter-based output feedback fuzzy control design technique for active suspension systems subjected to hard constraints. The sampled-data problem of continuous-time suspension systems is solved using an input delay approach. In this manner, the conservatism that occurs when designing filters and controllers is effectively alleviated by using Wirtinger's inequality with the extended reciprocally convex combination bounding technique. We designed an L 2 - L ∞ filter-based output-feedback fuzzy controller by using the Lyapunov-Krasovskii theorem to ensure that the closed-loop system is robust against external disturbances and sampled noise. The results of simulations involving different types of road disturbances and noise demonstrate the effectiveness of the proposed approach.