Interval-valued estimation for discrete-time linear systems: application to switched systems
Laurent Bako, Vincent Andrieu
TL;DR
This paper introduces a new framework for interval-valued state estimation in discrete-time linear and switched systems, providing the tightest estimators and a systematic design method, with practical applications demonstrated.
Contribution
It presents the first systematic approach for designing the tightest interval-valued estimators for both linear and switched linear systems.
Findings
Derived the tightest interval-valued estimator for linear systems
Developed a systematic design method for estimators
Applied the framework successfully to switched systems
Abstract
This paper proposes a new framework for constructing interval-valued state estimators for discrete-time linear and switched linear systems. Our main results are (i) the derivation of the tightest interval-valued estimator for linear discrete-time systems; (ii) a systematic design method for interval-valued state estimators; (iii) an application of the proposed estimation framework to switched linear systems.
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Taxonomy
TopicsControl Systems and Identification · Stability and Control of Uncertain Systems · Advanced Control Systems Optimization