Design Approach for Parameter Estimators for One-parameter First-order Scalar Plant

The paper analysis based on MRAC strategies for controlling a first-order system with considering the cost criterion for utilizing the gradient method. Adaptive control includes adjusting the uncertainty parameters develop by using the suitable controller to control in reality that the parameters of the plant being controlled change thoroughly because of altering in natural provisions or in a while in the plant itself. Planned paper deal with the application of dummy reference adaptable control conspires and the plant execution. We consider the simplest adaptive law or parameter estimators which are obtained by using the SPM. Simulation for the proposed first-order plant model of a scalar plant is performed in MATLAB – Simulink for a different assessment of adaptation gain. Due to the alteration in adaptation gain, the adaptation mechanisms also altered and effects on results are evaluated. On the deviation of plant parameters to ensure global stability, we consider the Lyapunov stability approach for the proposed first-order closed-loop dynamics system.