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The problem of mixed H_2/H_∞ filtering for polytopic Delta operator systems is investigated. The aim is to design a linear asymptotically stable filter which guarantees that the filtering error system has different performances in different filtering channels. Based on a parameter-dependent Lyapunov function, a new mixed H_2/H_∞ performance criterion is presented. Upon this performance criterion, a sufficient condition for the full-order mixed H_2/H_∞ filter is derived in terms of linear matrix inequalities. The filter can be obtained from the solution of a convex optimization problem. The proposed filter design procedure is less conservative than the strategy based on the quadratic stability notion. A numerical example is given to illustrate the feasibility of the proposed approach.
The aim of to a linear asymptotically stable filter which allow that the filtering error system has different performances in different filtering channels. Based on a parameter-dependent Lyapunov function After this performance criterion, a sufficient condition for the full-order mixed H_2 / H_∞ filter is derived in terms of linear matrix inequalities. The filter can be obtained from the solution of a convex optimization problem. The proposed filter design procedure is less conservative than the strategy based on the quadratic stability notion. A numerical example is given to illustrate the feasibility of the proposed approach.