Multirate single-stage and multistage structures for highspeed recursive digital filtering are introduced. They can be used for arbitrary bandwidths and to increase the speed to an arbitrary level. Most of the filtering is performed at a lower sampling rate than that of the input and output rates which results in a low computational complexity. Design examples are included for demonstration.

This paper proposes a multirate Model Predictive Control (MPC) algorithm for constrained systems where the control effort is adjusted several times during one sampling interval. Stability criterion for this new proposed algorithm is established. The test of the stability condition, the estimation of stability regions and the choice of the terminal weighting term are discussed.

This work focuses on model predictive control of nonlinear singularly perturbed systems. A composite control system using multirate sampling (i.e., fast sampling of the fast state variables and slow sampling of the slow state variables) and consisting of a “fast” feedback controller that stabilizes the fast dynamics and a model predictive controller that stabilizes the slow dynamics and enforce...

Omid S. Jahromi, Bru e A. Fran is, Raymond H. Kwong Systems Control Group, Department of Ele tri al and Computer Engineering, University of Toronto Toronto, ON, M5S 3G4 Canada fomidj, fran is, kwongg ontrol.toronto.edu ABSTRACT This arti le introdu es a mathemati al theory for estimating the power spe tral density (PSD) of a random signal based on low-sampling-rate measurements. We formulate th...

A criterion for designing the class of multirate systems for rate-changing is presented. This criterion arises from a model-matching perspective with maximum relativè 2-error over a general class of inputs and is a natural extension of the standard Chebyshev method for lter design. Using multirate and convex analysis techniques, the criterion is shown to lead to a convex matrix-valued-function ...

Multirate signal processing is an enabling technology that brings DSP techniques to applications requiring low-cost and high sample rates. Field programmable gate arrays (FPGAs) provide system-level hardware solutions for signal processing architects demanding both high-performance and flexibility. This workshop provides an introduction to the fundamental theory of multirate filter techniques a...

This paper presents a strategy for designing a robust discrete-time adaptive controller for stabilizing linear time-invariant LTI continuous-time dynamic systems. Such systems may be unstable and noninversely stable in the worst case. A reduced-order model is considered to design the adaptive controller. The control design is based on the discretization of the system with the use of a multirate...

The multirate digital signal processing (DSP) is required in digital system where more than one sampling rate is required. In this paper, we propose the two channel (2dimensional) perfect reconstruction multirate filter bank, which is based on the linear canonical transform. The main motivation is the fact that Linear Canonical Transform (LCT) provides a general mathematical tool with very broa...

Abstract: This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzz...