Fractional-order single state reset element

Abstract This paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects range frequencies. Suppressing desired frequency while maintaining it rest is beneficial, especially when used in framework “Constant gain, Lead phase” (CgLp) filter. CgLp newly introduced filter, bound to circumvent well-known linear control limitation—the waterbed effect. The ideal behaviour such filter domain unity gain providing phase lead broad However, CgLp’s based on describing function, which first-order approximation that neglects higher-order harmonics output Although fundamentally its nonlinearity not required all Thus, shown this using proposed architecture, gets closer frequencies, and performance will be improved accordingly.