Reduced-Order Observers for Linear Metzlerian Systems

For linear time-invariant Metzlerian systems this paper proposes an original approach required to reflect structural system constraints and positiveness in solving the problem of reduced-order Metzlerian observer design. Three forms of design conditions are proposed, all of them exploiting a set of common system parameter constraint representation in the form of linear matrix inequalities, while a systematic H∞ norm performance strategy is focused on to guarantee the observer asymptotic stability. To serve as a potential estimator of the plant state vector, the impact of strictness and non strictness Metzler matrix structure in design is clarified and reflected in adaptation of the design conditions. A numerical example is included to assess the feasibility of the technique and its applicability.