Controller parametrization for time-varying multirate plants

Ravi, R.; Khargonekar, Pramod P.; Minto, K.D.; Nett, C. N.

doi:10.1109/9.59815

Cited by 57 publications

(8 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which is the discrete-time lifted signal of u[k] [19]. By using discrete signals of period N T , the closed-loop system in Fig.1 is described as…”

Section: Design Of M U L T I R a T E Feedback Gainmentioning

confidence: 99%

Improvement of deadbeat servomechanism using multirate input control

Ito

2000

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)

View full text Add to dashboard Cite

This paper proposes an state-space approach to deadbeat servomechanism design using multirate input control. The focus is advantage of multirate control over conventional single-rate control. Multirate controllers can achieve required settling time with less frequent sampling of measurement. Multirate input mechanism can yield shorter settling time than single-rate control using the same frequency of sampling. In general, multirate control exhibits intersample ripple. Nevertheless, this paper demonstrates that the negative effect of multirate input on the steady-state response can be removed completely to accomplish ripple-free deadbeat, keeping the settling time short using multirate mechanism at the same time. In addition, this paper presents a design method for multirate ripple-free deadbeat control which guarantees robustness against continuous-time disturbance and model uncertainty.

show abstract

“…which is the discrete-time lifted signal of u[k] [19]. By using discrete signals of period N T , the closed-loop system in Fig.1 is described as…”

Section: Design Of M U L T I R a T E Feedback Gainmentioning

confidence: 99%

Improvement of deadbeat servomechanism using multirate input control

Ito

2000

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)

View full text Add to dashboard Cite

show abstract

“…Meyer and Burrus 1975, Araki and Yamamoto 1986, Tarn et al 1988, Colaneri et al 1990, Ravi et al 1990, Dahleh et al 1992, Longhi 1994, in this paper the proof of the necessity of a continuoustime internal model of the exogenous exponential-sinusoidal signals (with the only exception of the constant ones) in order to achieve a continuous-time convergence to zero of the error response, will be extended to the case when multirate holding and sampling mechanisms, and periodic stabilizing discrete-time compensators, are used, instead of single-rate and time-invariant ones, respectively (Franklin and Emami-Naeini 1986, Urikura and Nagata 1987, Yamamoto 1994, Graselli et al 1996; it will be proven both for when the dead-beat convergence of the error response and state free response is required at the nominal parameters, and for when a mere exponential convergence with a prescribed rate of decay is required. Although such a necessity is largely intuitive, its formal derivation will turn out to be technically awkward because of the hybrid framework.…”

Section: Introductionmentioning

confidence: 98%

Ripple-free robust output regulation and tracking for multirate sampled-data control

Grasselli¹,

Menini²,

Valigi³

2002

International Journal of Control

View full text Add to dashboard Cite

The problem of the robust continuous-time asymptotic tracking and disturbance rejection for a multivariable multirate sampled-data system is studied. The necessity of a continuous-time internal model of the exogenous signals (except for the constant ones, if any) for obtaining a ripple-free zero error response, is proven. The conditions are given for the existence of a hybrid control system (including, possibly, a continuous-time subcompensator) for which the exponential stability and a continuous-time convergence to zero of the tracking error are guaranteed at least in a neighbourhood of the nominal parameters. This, in particular, both for when the dead-beat convergence of the state free response and the continuous-time error response is required at the nominal parameters, and for when an exponential convergence with a prescribed rate of decay is required (including design procedures of the continuous-time and the discrete-time subcompensators); both for when the available description of the plant has a known dependence on some`physical' parameters, and for when the only nominal description of the plant is available, and independent perturbations of the entries of (some of) the matrices characterizing the plant representation are assumed.

show abstract

“…The problem of parametrizing the set of controllers for multirate systems using the lifting technique was considered in [8] and [9]. However, the resulting controllers in the parametrized set are periodically time-varying due to the de-lifting operation.…”

Section: Introductionmentioning

confidence: 99%

Modeling and design of LTI controllers for multirate systems

Cimino

Pagilla

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

View full text Add to dashboard Cite

In this paper we provide a frequency domain approach to model multirate SISO systems which facilitates design of linear time-invariant (LTI) controllers. To illustrate the approach we consider a dual-rate system with slow output measurements and fast control actions. We obtain necessary and sufficient conditions for the existence of stabilizing LTI controllers for which model matching is also achieved with a desired single-rate system. Moreover, a solution is given to the problem of parametrizing the set of such LTI controllers.

show abstract

Controller parametrization for time-varying multirate plants

Cited by 57 publications

References 9 publications

Improvement of deadbeat servomechanism using multirate input control

Improvement of deadbeat servomechanism using multirate input control

Ripple-free robust output regulation and tracking for multirate sampled-data control

Modeling and design of LTI controllers for multirate systems

Contact Info

Product

Resources

About