Dimensional-varying integral sliding mode controller design for uncertain Takagi-Sugeno fuzzy systems

An integral sliding mode control method for uncertain Takagi-Sugeno fuzzy systems is investigated in this paper. Considering the time-varying property of the fuzzy system control matrix, a dimensional-varying integral sliding mode controller is proposed. With a membership function piecewise linearization technique, the gain matrices of equivalent control law are derived. Then a dimension switching sliding model control scheme is designed to close the control loop. As a result, traditional restrictions on input matrix can be further relaxed. Finally, a numerical and a Diesel Engine Air-Path control examples are provided to certificate the merits and effectiveness of the proposed approach. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates an integral sliding mode control method for uncertain Takagi-Sugeno fuzzy systems, proposing a dimensional-varying controller considering the time-varying property of the fuzzy system control matrix. Through a membership function piecewise linearization technique, the gain matrices of equivalent control law are derived, and a dimension switching sliding mode control scheme is designed to close the control loop.