Robust tracking control for uncertain fuzzy systems with time delay and external disturbances

In this article, robust tracking and disturbance rejection problem for Takagi–Sugeno fuzzy systems with time delay and external disturbances are discussed. Specifically, proportional‐integral controller with an enhanced equivalent‐input‐disturbance technique is constructed to force the output trajec...

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Bibliographic Details
Published in:Asian journal of control 2024-01, Vol.26 (1), p.30-41
Main Authors: Vijayakumar, Muthusamy, Sakthivel, Rathinasamy, Aravindh, Dharmarajan, Anthoni, Selvaraj Marshal
Format: Article
Language:English
Subjects:
disturbance rejection
Disturbances
Fuzzy control
Fuzzy systems
Linear matrix inequalities
Lyapunov approach
Mathematical analysis
Robust control
robust tracking control
Stabilization
Takagi–Sugeno fuzzy systems
time delay
Time lag
Tracking control
Tracking problem
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Summary:In this article, robust tracking and disturbance rejection problem for Takagi–Sugeno fuzzy systems with time delay and external disturbances are discussed. Specifically, proportional‐integral controller with an enhanced equivalent‐input‐disturbance technique is constructed to force the output trajectories to track the bounded reference input signal even in the presence of external disturbances. Further, the resulting fuzzy control system can be represented as an augmented system with state delay and uncertainties and the output tracking problem is transformed into stabilization problem of the augmented system. In the stabilization analysis, the considered fuzzy system does not share the same membership functions with the proposed control. Moreover, the delay‐dependent stabilization criteria for the addressed fuzzy system are presented in the form of linear matrix inequalities by the virtue of augmented Lyapunov–Krasovskii functional. To be specific, the symmetric matrices involved in the Lyapunov–Krasovskii functional need not be positive definite. Ultimately, three numerical examples are offered to support the validity of the established theoretical results.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.3201