Adaptive Control for Nonlinear Singular Systems
Keywords:Adaptive control, affine singular systems, Model Reference control, nonlinear systems, singular control
AbstractNonlinear singular systems present a general mathematical framework for the modeling and controlling of complicated systems, however the complex nature of this type of systems causes many difficulties in control strategy. In this paper, a model reference control approach is addressed for nonlinear affine singular systems. First, a basic control system is proposed based on the Lyapunov stability theorem so that nonlinear singular system can asymptotically track the desired linear reference model. After that, in the second design, it has been considered that systems’ parameters are unknown and two adaptive approaches are investigated. For better illustration, simulation has been done and the results show the tracking performance for both presented control systems.
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