Effects of State and Output Disturbance on the State Estimation for Speed Control Stochastic DC Motor

A speed control DC motor has been modeled from first principle and stochastic output obtained by simulation in MATLAB. Disturbances are injected randomly at each step input producing stochastic output. The output error was observed to follow Gaussian distribution hence Kalman filter was used to investigate the effect of the state and output disturbance on the estimate of DC motor state hence output. Simulation results show that increasing the DC motor state disturbance moves the estimated output close to the measured output. But increasing output disturbance moves the estimated state away from the measured state.