Optimal input design for continuous-time system identification: application to fractional systems

Abstract An optimal input design framework for continuous-time system identification using fractional models is presented. This framework extends some existing results in discrete-time systems. The problem is formulated in convex finite dimensional form. Input spectrum decomposition in Laguerre polynomial basis is applied and an LMI solution is proposed. This method permits to synthesize optimal input spectrum for LTI continuous-time systems including fractional ones.

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