Robust State Estimation of Linear Neutral-Type Delay Systems: A Convex Optimization Setting

This paper is concerned with the problem of robust observer design for linear systems with neutral-type time-delays. New sufficient delay-independent conditions are given to solve the observation issue under noisy output measurements. Stated as linear matrix inequalities conditions, these sufficient conditions enable the determination of the observer gains that guarantee both asymptotic convergence of the observer in case of noiseless measurements and robust filtering in case of presence of measurements errors. The proposed linear matrix inequality conditions are derived without any major approximation or assumption on the neutral type time-delay system which make the observer design straightforward and less conservative