Convex Optimization Approach to State Estimation of a Class of Discrete-Time Systems with Time-Delay Nonlinearities

S. Ibrir, W.F. Xie, and C.-Y. Su (Canada)


Nonlinear Observers; Discrete-time Systems; Time varying delay systems; Linear Matrix Inequalities (LMIs).


In this paper, we address the problem of designing non linear observers for dynamical discrete-time systems with both constant and time-varying delay nonlinearities. The nonlinear system is assumed to verify the usual Lipschitz condition that permits us to transform the nonlinear system into a linear time-delay system with structured uncertain ties. The existence of the observer-gain is ensured by the solution of a one linear matrix inequality. An illustrative example is included to demonstrate the advantage of the proposed observation technique.

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