This paper discusses minimum variance control (MVC) design and control performance assessment based on the MVC-benchmark for multirate systems. In particular, a dual-rate system with a fast control updating rate and a slow output sampling rate is considered. The lifting technique is used as an alternative way to derive a subspace equation, which is used to design the multirate MVC law, and to e...

Efficient multirate filters have been developed during the past three decades for implementation of digital filters with stringent spectral constraints (Crochiere & Rabiner, 1981, 1983; Ansari & Liu, 1993; Bellanger, 1984, 1989; DeFata, Lucas & Hodgkiss, 1988; Vaidyanathan, 1990, 1993; Fliege, 1994; Zelniker & Taylor, 1994; Proakis & Manolakis, 1996; Mitra, 2001; Mili & Lutovac, 2002; Hentschel...

In single-rate systems, only one sampling rate is used throughout a digital signal processing system, whereas in multirate systems the sampling rate is changed at least once. This laboratory deals with the realization and analysis of multirate systems. In the first experiment we will examine the effects of decimation and interpolation. Furthermore, a small multirate signal processing system is ...

In many control applications, the sensor technology used for the measurement of the variable to be controlled is not able to maintain a restricted sampling period. In this context, the assumption of regular and uniform sampling pattern is questionable. Moreover, if the control action updating can be faster than the output measurement frequency in order to fulfill the proposed closed loop behavi...

In this paper, a novel perfect tracking control method based on the multirate sampling control is proposed, in which the concepts of the two-degreeof-freedom control are employed. Moreover, by generalizing the multirate input and output sampling periods, the proposed method can match the restrictions of the sampling periods caused by the hardware, and achieve higher performance. The main result...

This contribution deals with the design of an all digital multirate receiver with nonsynchronized IF sampling and digital timing correction, that can be used in software defined radios. By performing timing correction prior to matched filtering, the complexity of the matched filter is reduced, but at the expense of additional aliasing. Design parameters, yielding low degradations with respect t...

This paper studies a stabilization problem for a multirate digital control of fuzzy systems based on the approximately discretized model. In the multirate control scheme, a numerical integration scheme is used to approximately predict the current state from the state measured at the sampling points. It is shown that the multirate digital fuzzy controller stabilizing an approximate discrete-time...