Adaptive quantized controller design for synchronization of uncertain fractional-order nonlinear systems satisfying incremental quadratic constraints

Abstract

This paper proposes the adaptive quantized controller design for the synchronization of a class of fractional-order nonlinear systems satisfying incremental quadratic constraints governed by an incremental multiplier matrix. The incremental quadratic constraints can describe many commonly encountered nonlinearities in existing literature. The adaptive quantized controller are designed and formulated in terms of matrix inequalities to make the error system asymptotically stable. Meanwhile, the sufficient conditions can be obtained via solving linear matrix inequalities. Moreover, an algorithm is presented to illustrate the steps of designing adaptive quantized controllers. Finally, examples about fractional-order Lorenz chaotic system and fractional-order Bloch system are provided to illustrate the effectiveness of the designed controller.

Adaptive output feedback asymptotic tracking for uncertain nonlinear systems with dead-zone input

“…With the continuous improvement of system performance requirements in modern industry, the nonlinear systems have received extensive attention (Batista et al, 2022; Gao et al, 2022; Liu et al, 2022a; Lu and Li, 2021; Wang et al, 2020; Xu et al, 2022). Many important control methods have been proposed to investigate nonlinear systems.…”