Implementation of FDD techniques using Matlab & Simulink (identification and parity relations)

Three Tasks for this assignment: Task 1. Use the oe function's estimation of the parameters of the following singleinput single-output models of the plant from “recorded” input-output data. Y1 (k +1)= a1y1 (k) +b1u(k) y2(k +1)= a2y2(k)+b2u(k) Validate your obtained models by developing Simulink models using the parameters you obtained and applying the same 'step' input to your models to compare the models' response with the response of the “real” plant. Fully discuss your results. [30 marks] Task 2. Create a parity relations scheme using these models for the residuals generation. Apply abrupt faults of the same magnitude to the “real” plant input, and then to the “real” plant output to observe changes in the residuals. Discuss fault isolation properties of this scheme. [35 marks] Task 3. Create structured residuals and Simulink models for the structured residuals generation. Apply abrupt faults of the same magnitude to the “real” plant input, and then to the “real” plant output to observe changes in the residuals. Discuss fault isolation properties of the scheme using structured residuals. [35 marks]