Many dynamic systems and industrial control processes can be represented by a multirate sampled-data uncertain system, which consists of a continuous-time uncertain subsystem and a multirate discrete-time uncertain subsystem. The uncertainties in these systems arise from unmodeled dynamics, parameter uariations, sensor noises, actuator constraints, etc. As is the common practice the sampled-dat...

[1] Model applicability to core-scale solute transport is evaluated using breakthrough data from column experiments conducted with conservative tracers tritium ðHÞ and sodium-22 ðNa Þ, and the retarding solute uranium-232 ðUÞ. The three models considered are single-porosity, double-porosity with single-rate mobile-immobile mass-exchange, and the multirate model, which is a deterministic model t...

The basic building blocks in a multidimensional (MD) multirate system are the decimation matrix M and the expansion matrix L. For the D-dimensional case these a re D X D nonsingular integer matrices. When these matrices a re diagonal, most of the one-dimensional (ID) results can be extended automatically. However, for the nondiagonal case, these extensions are nontrivial. Some of these extensio...

Abstract We present a low-power design methodology based on the multirate approach for DSP systems. Since the datar rate in the resulting multirate implementation is M-times slower (where M is a positive integer) than the original data rate while maintaining the same throughput rate, we can apply this feature to either the low-power implementation, or the speed-up of the DSP systems. This desig...

In most low-power VLSI designs, the supply voltage is usually reduced to lower the total power consumption. However, the device speed will be degraded as the supply voltage goes down. In this paper, we propose new algorithmic-level techniques to compensate the increased delays based on the multirate approach. We apply the technique of polyphase decomposition to design low-power transform coding...

Exploiting Parallelism within Multidimensional Multirate Digital Signal Processing Systems. (May 2003) Dongming Peng, B.S. and M.S., Beijing University of Aeronautics and Astronautics Chair of Advisory Committee: Dr. Mi Lu The intense requirements for high processing rates of multidimensional Digital Signal Processing systems in practical applications justify the Application Specific Integrated...

This article investigates the multirate disturbance rejection control problem for linear systems with mismatched and measurement delay using predictor-based extended state observer. A new observer together output predictor is first designed to obtain estimation values of system disturbance, where used compensate influences sampling output. To attenuate undesirable influence we then design a sam...

The design of rate-changing multirate systems using a maximum relative `-error criterion is analyzed. Using multirate techniques, the criterion is simpli ed to a matrix-response approximation problem. An algorithm using convex optimization is proposed to solve the problem. An example illustrates the use of the algorithm and e ectiveness over methods intended for LTI system design.

We consider partitioned time integration for heterogeneous coupled heat equations. First and second order multirate, as well time-adaptive Dirichlet-Neumann Waveform relaxation (DNWR) methods are derived. In 1D implicit Euler integration, we analytically determine optimal parameters the fully discrete scheme. test robustness of on multirate method in 2D. DNWR is shown to be very robust consiste...