Equivalent-Input-Disturbance Based Robust Control Design for Fuzzy Semi-Markovian Jump Systems via the Proportional-Integral Observer Approach

Aravindh Dharmarajan (), Parivallal Arumugam, Sakthivel Ramalingam and Kavikumar Ramasamy
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Aravindh Dharmarajan: Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, India
Parivallal Arumugam: Applied Algebra and Optimization Research Center, Sungkyunkwan University, Suwon 16419, Republic of Korea
Sakthivel Ramalingam: School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea
Kavikumar Ramasamy: School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea

Mathematics, 2023, vol. 11, issue 11, 1-16

Abstract: This work focuses on the design of a unified control law, which enhances the accuracy of both the disturbance estimation and stabilization of nonlinear T-S fuzzy semi-Markovian jump systems. In detail, a proportional-integral observer based equivalent-input-disturbance (PIO-EID) approach is considered to model and develop the controller. The PIO approach includes a variable for relaxation in the system design along with an additional term for integration to improve the flexibility of the design and endurance of the system. The proposed stability criteria are formulated in the form of matrix inequalities using Lyapunov theory and depend on the sojourn time for robust control design. Final analyses are performed using MATLAB software with simulations to endorse the theoretical findings of this paper.

Keywords: fuzzy systems; semi-Markovian jump systems; equivalent-input disturbance; proportional-integral observer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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