Linear Quadratic control law design for commensurate fractional order models

摘要

This paper presents an approach to design Linear Quadratic control laws for commensurate fractional order models. The proposed approach is based on the reformulation of a commensurate fractional order model as an uncertain integer order model. A Linear Quadratic control law is then designed from the uncertain integer order model as it can be expressed as a multiobjective H₂/H_∞ problem which is solved using Linear Matrix Inequalities based approach. The entire approach is applied to an academic example.