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A cost-effective sparse communication strategy for networked linear control systems: an SVD-based approach

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posted on 2025-05-08, 17:59 authored by He Kong, Graham GoodwinGraham Goodwin, Maria SeronMaria Seron
In networked control, there is often an incentive to communicate only what is absolutely necessary to achieve the desired performance goals. This is true to both the downlink (between a control base station and actuators) and the uplink (between the sensors and base station). Here, we present a strategy aimed at this problem based on a singular value decomposition of the Hessian of the quadratic performance index generally considered in Model Predictive Control. The singular vectors are employed to generate an orthonormal basis function expansion of the unconstrained solution to the finite horizon optimal control problem. These are preloaded into each actuator and each sensor. On the downlink, the actuators are informed, in real-time, about which basis functions they should use. On the uplink, after a 'burn in period', the sensors need only communicate when their response departs from that pre-calculated for the given basis functions. We show that this strategy facilitates communication in both the downlink and uplink in a cost-effective fashion. We also show that the strategy can be modified so that input constraints are satisfied. We illustrate the proposed results by applying them to a simulation of the cross direction control of a paper machine. Potential extensions and other applications of the proposed strategy are also discussed.

History

Journal title

International Journal of Robust and Nonlinear Control

Volume

25

Issue

14

Pagination

2223-2240

Publisher

John Wiley & Sons

Language

  • en, English

College/Research Centre

Faculty of Engineering and Built Environment

School

School of Electrical Engineering and Computer Science

Rights statement

This is the peer reviewed version of the following article: Kong, He; Goodwin, Graham C.; Seron, Maria M. “A cost-effective sparse communication strategy for networked linear control systems: an SVD-based approach”, International Journal of Robust and Nonlinear Control Vol. 25, Issue 14, p. 2223-2240 (2015), which has been published in final form at http://dx.doi.org/10.1002/rnc.3188. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

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