An efficient observer design method for singular discrete-time systems with time-delay and nonlinearity: LMI approach

Abstract

This paper proposes the observer design method for linear and nonlinear singular discrete-time systems with constant time delays. By constructing appropriate Lyapunov-Krasovskii functional and using Linear Matrix Inequality (LMI) technique, the asymptotic convergence criterion is developed in terms of LMIs, which can be solved numerically using MATLAB r LMI r toolbox. The su cient condition for the existence of a full-order observer is obtained and the states are estimated using Schur complement and S-procedure lemma very well. Moreover, an extension procedure for the observer design of a singular linear system with a time-varying delay is presented. Simulation results are included to prove the e ciency of the suggested approach.