English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper considers the H\infty-optimal estimation problem for linearsystems with multiple delays in states, output, and disturbances. First, weformulate the H\infty-optimal estimation problem in the Delay-DifferentialEquation (DDE) framework. Next, we construct an equivalent Partial IntegralEquation (PIE) representation of the optimal estimator design framework. Wethen show that in the PIE framework, the H\infty-optimal estimator synthesisproblem can be posed as a Linear PI Inequality (LPI). LPIs are a generalizationof LMIs to the algebra of Partial Integral (PI) operators and can be solvedusing the PIETOOLS toolbox. Finally, we convert the PIE representation of theoptimal estimator back into an ODE-PDE representation - a form similar to aDDE, but with corrections to estimates of the infinite-dimensional state (thetime-history). Numerical examples show that the synthesis condition we proposeproduces an estimator with provable H\infty-gain bound which is accurate to 4decimal places when compared with results obtained using Pade-baseddiscretization.

H\infty-Optimal Observer Design for Linear Systems with Delays in States, Outputs and Disturbances