Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator

Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado · Mathematical Methods in the Applied Sciences · 2021

In practice the states of a system are not directly available that are difficult to measure by sensors. This article proposes an observer‐based controller for fractional‐order neutral‐type delay systems with actuator saturation. A feedback algorithm is constructed by applying the Lyapunov direct method. Moreover, based on the observer, the gains of controller and observer are determined by solving a set of nonlinear matrix inequalities. Therefore, an iterative algorithm including the convex optimization is also proposed to solve the inequalities. An example is given to illustrate the theoretical results.

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