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Generalized tangential interpolation for model reduction of discrete-time MIMO bilinear systems

Generalized tangential interpolation for model reduction of discrete-time MIMO bilinear systems,10.1080/00207179.2011.601761,International Journal of

Generalized tangential interpolation for model reduction of discrete-time MIMO bilinear systems  
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In this paper, we discuss a model order reduction method for multiple-input and multiple-output discrete-time bilinear control systems. Similar to the continuous-time case, we will show that a system can be characterized by a series of generalized transfer functions. This will be achieved by a multivariate Z-transform of kernels corresponding to an explicit solution formula for discrete-time systems. We will further address the problem of generalized tangential interpolation which naturally comes along with this approach. We will introduce a reasonable generalization of the linear H2-norm. Based on this concept, we discuss the choice of interpolation points. Furthermore, an efficient discretization of continuous-time systems is provided. The performance of the proposed method is evaluated by means of some numerical examples and compared with the method of balanced truncation for bilinear systems.
Journal: International Journal of Control - INT J CONTR , vol. ahead-of-p, no. ahead-of-p, pp. 1-10, 2011
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