Tuning of PID Controllers Based on Bode’s Ideal Transfer Function

• Autor(a) principal: Barbosa, Ramiro
• Data de Publicação: 2004
• Outros Autores: Tenreiro Machado, J. A., Ferreira, Isabel M.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.22/13496
• topic: Fractional-order systems; Bode’s ideal transfer function; Fractional calculus; ISE optimization; PID tuning

This paper presents a new strategy for tuning PID controllers based on a fractional reference model. The model is represented as an ideal closed-loop system whose open-loop is given by the Bode’s ideal transfer function. The PID controller parameters are determined by the minimization of the integral square error (ISE) between the time responses of the desired fractional reference model and of the system with the PID controller. The resulting closed-loop system (with the PID controller) has the desirable feature of being robust to gain variations with step responses exhibiting an iso-damping property. Several examples are presented that demonstrate the effectiveness and validity of the proposed methodology.