State Estimation of Linear System by UI full order observer using generalized matrix inverse method and Kalman Filter

Unknown input full order observer using generalized matrix inverse method is used to estimate five states of the fifth order lateral axis model of an aircraft in discrete domain of both noiseless and noisy environment in this paper. After that Kalman filter has been designed to estimate the states of the system when noise is considered. Finally error between the actual and estimated states of the system by UI observer and Kalman filter is compared. It has been shown that Kalman filter is good estimator than UI full order observer in noisy environment.The simulations have been done using MATLAB and Simulink Toolbox & the results of the simulations have been displayed in this paper. Keywords— Unknown input observer (UIO); generalized matrix inverse method; Estimated state; Full order UI observer; Estimated error; Kalman filter.