TY - EJOUR
AU - Razavinasab, Zahra
AU - Vali, Mohammad Ali
AU - Samavat, Mahmoud
PY - 2024
DA - February
TI - State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials
T2 - Majlesi Journal of Electrical Engineering
VL - 10
L1 - https://oiccpress.com/Majlesi-Journal-of-Electrical-Engineering/article/state-estimation-for-a-class-of-singular-systems-using-shifted-legendre-polynomials/
N2 - For linear time-invariant continuous-time singular systems, two new simple approaches, the Kronecker method and the recursive method, are developed in order to estimate the states from the system input-output information via shifted Legendre polynomials (SLP) and a simple observer in the descriptor form. Sufficient conditions for the existence of the present observer are given. The two methods simplify the system of state equations into the solution of a set of linear algebraic equations. Furthermore, the proposed algorithms can be easily implemented in a digital computer and the solutions can be obtained for any length of time. Further, these approaches include the filtering and the smoothing effect which can reduce the influence of zero-mean measurement noise on estimation. Simulation results of a given numerical example demonstrate the effect of the proposed approaches.
IS - 3
PB - OICC Press
KW - State estimation., Descriptor observer, Shifted Legendre polynomials, Singular systems 
EN -