Observer-Based Controller Design for Fractional-Order Neutral-Type Systems

This article is devoted to investigating how to design the observer-based controller for a type of fractional-order neutral-type systems (FONTSs) by applying the Lyapunov direct method. The feedback control system based on the observer is designed, and by solving the linear matrix inequality (LMI) feasible problems, the gains of the controller and the observer are given. Then, an observer-based guaranteed cost control of fractional-order systems is studied. At last, simulation examples are provided to demonstrate that our method is effective.

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