It is well known that multirate input and hold, such as a generalized sample hold function (GSHF), can be used to shift the sampling zeros of a discrete-time model for a continuous-time system. This paper deals with the stability of sampling zeros, as the sampling period tends to zero, of discrete-time models that are composed of a GSHF, a continuous-time multivariable plant and a sampler in ca...

We consider multirate digital control systems which consist of an interconnection of a continuous-time non-linear plant (described by ordinary diierential equations), a digital controller (described by ordinary difference equations) which has quantizers (but is otherwise linear), along with the required interface elements (A/D and D/A converters). The input to the digital controller consists of...

Distributed cyber-physical systems (DCPS), such as aeronautics and ground transportation systems, are very hard to design and verify, because of asynchronous communication, network delays, and clock skews. Their model checking verification typically becomes unfeasible due to the huge state space explosion caused by the system’s concurrency. The Multirate PALS (“physically asynchronous, logicall...

This work constructs a new class of multirate schemes based on the recently developed generalized additive Runge-Kutta (GARK) methods [10]. Multirate schemes use different step sizes for different components and for different partitions of the right-hand side based on the local activity levels. We show that the new multirate GARK family includes many well-known multirate schemes as special case...

There are robotic and industrial control applications where the control action must be updated faster than the output measurement. This fact leads to multirate controllers. In this paper, it is exposed an algebraic design which is used to design minimum and finite time controllers based on the resolution of a coupled diophantine equations for different sampling rates. Also, it is explained the ...

A number of cyber-physical systems are hierarchical distributed control systems whose components operate with different rates, and that should behave in a virtually synchronous way. Designing such systems is hard due to asynchrony, skews of the local clocks, and network delays; furthermore, their model checking verification is typically unfeasible due to the state space explosion caused by the ...

This paper is concerned with the problem of designing optimal multirate lter banks. Three design criteria are considered for linear phase FIR lter banks: H 2 measure, H 1 and the mixture of them. A closed-form solution is presented for optimal H 2 lter bank design. For optimal H 1 lter bank design, two algorithms are given which involve solving the design problem using positive semi-deenite pro...

In this paper, we present a new algorithm for solving the LQG control problem with variance constraints which utilizes derivative information about the relevant H2 costs to achieve quasi-Newton convergence. Using a lifting procedure, this algorithm is then generalized to work with linear periodically timevarying systems. This algorithm is then applied to the design of controllers for hard disk ...

Conventional synthesis filters in subband systems lose their optimality when additive noise due, for example, to signal quantization, disturbs the subband components. The multichannel representation of subband signal is combined with the statistical model of input signal to derive the multirate state-space model for filter bank system with additive noises. Thus the signal reconstruction problem...