Decentralized state feedback guaranteed cost control for conformable fractional-order nonlinear large-scale systems

This paper examines the problem of decentralized guaranteed cost control for conformable fractional-order nonlinear large-scale systems. Initially, we present the concept of the guaranteed cost control problem specific to interconnected conformable fractional-order systems. Subsequently, through the application of mathematical transformations utilizing conformable fractional calculus and this defined framework, we propose a design for a guaranteed cost controller. We establish sufficient conditions for the existence of a decentralized guaranteed cost state-feedback control for these interconnected conformable fractional-order systems, articulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples accompanied by simulation results are provided to validate the proposed methodology.