Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator
Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado
Abstract
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.
Topics & Concepts
Control theory (sociology)Observer (physics)MathematicsConvex optimizationNonlinear systemActuatorController (irrigation)Type (biology)Linear matrix inequalitySeparation principleRegular polygonMathematical optimizationControl (management)State observerComputer scienceArtificial intelligenceAgronomyEcologyBiologyGeometryQuantum mechanicsPhysicsNeural Networks Stability and SynchronizationAdvanced Control Systems DesignFractional Differential Equations Solutions