Sampled Disturbance Decoupling with Stability using Multirate Control

L. J. Serrano; P. J. Ramadge

doi:10.1109/9.83538

Sampled Disturbance Decoupling with Stability using Multirate Control

L. J. Serrano, P. J. Ramadge

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider the sampled disturbance decoupling problem (SDDP) for finite-dimensional linear systems. In this problem, a feedback control law is designed that eliminates the effect of an unknown disturbance on the output at specified sampling times. For discrete-time systems, we show that SDDP has a static-state feedback solution if and only if this feedback solves the standard disturbance decoupling problem (DDP). However, time-varying control laws can solve SDDP when it is not solvable by static-state feedback and, hence, when DDP cannot be solved. In particular, we consider a technique for designing a periodically time-varying multirate controller that solves SDDP.

Original language	English (US)
Pages (from-to)	1061-1065
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	36
Issue number	9
DOIs	https://doi.org/10.1109/9.83538
State	Published - Sep 1991

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/9.83538

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AB - We consider the sampled disturbance decoupling problem (SDDP) for finite-dimensional linear systems. In this problem, a feedback control law is designed that eliminates the effect of an unknown disturbance on the output at specified sampling times. For discrete-time systems, we show that SDDP has a static-state feedback solution if and only if this feedback solves the standard disturbance decoupling problem (DDP). However, time-varying control laws can solve SDDP when it is not solvable by static-state feedback and, hence, when DDP cannot be solved. In particular, we consider a technique for designing a periodically time-varying multirate controller that solves SDDP.

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Sampled Disturbance Decoupling with Stability using Multirate Control

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