Observer Design for Positive Uncertain Discrete-time Lipschitz Systems

For positive uncertain discrete-time Lipschitz systems this paper proposes a way to reflect matched uncertainties, structural system parameter constraints, positiveness and Lipschitz continuity in solving the problem of the state observer quadratic stability. The design conditions are proposed in the set of linear matrix inequalities to guarantee the observer strict positiveness, system parameter constraint representation and estimation error bounding in terms of achieved quadratic stability and nonnegative feedback gain matrix. It follows from the results obtained that the impact of nonnegative system matrix structures can be reflected in uncertainty matching problems. A numerical example is included to assess the feasibility of the technique and its applicability. Copyright (C) 2021 The Authors.