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This paper investigates the robust H_∞filtering problem for uncertain two-dimensional (2D) systems described by the Roesser model.The parameter uncertainties considered in this paper are assumed to be of polytopic type.A new structured polynomi- ally parameter-dependent method is utilized,which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree.The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree,respectively.A numerical example illustrates the feasibility and advantage of the proposed filter design methods.
This paper investigates the robust H_∞filtering problem for uncertain two-dimensional (2D) systems described by the Roesser model. The parameter uncertainties considered in this paper are assumed to be polytopic type. A new structured polynomial parameter-dependent method is utilized, which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree, respectively. and advantage of the proposed filter design methods.