Positive observer for positive continuous systems with interval uncertainties and multiple time-delay

Abstract

This paper addresses the design of positive observer for positive linear continuous system with interval uncertainties and multiple time-delay. Firstly, the sufficient and necessary condition for the existence of positive observers is established by using the vertical matrices of the uncertain domain which system matrices belong to. Then the desired observer matrices are given by solving a set of matrix inequalities. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.Index Terms-ositive observer, time-delay, interval systems, linear matrix inequalities (LMIs), positive systemositive observer, time-delay, interval systems, linear matrix inequalities (LMIs), positive systemp

Impulsive positive observers and dynamic output feedback stabilization of positive linear continuous systems

“…When t D t k , similarly, it can be calculated that Q t k D 1; From (30) and (31), it can be derived that…”

“…Based on the average dwell time approach, and establish sufficient conditions for the existence of positive observers in terms of linear matrix inequalities (LMIs) for switched positive systems with time‐varying delays. Some results on the design of positive observers via the linear programming approach are treated in , and some discussion on the existence of positive observers in terms of LMIs can be found in . In addition, there are a few valuable results that discuss the design of positive stabilization controllers based on positive observers.…”