Recursive Robust Regulator for Uncertain Linear Systems with Random State Delay Based on Markovian Jump Model

This paper addresses the regulation problem for discrete-time linear systems with unknown random state delay. The system under consideration can be subject to norm-bounded uncertainties in all parameter matrices. By the lifting method, the delay system is converted to an augmented delay-free Markovi...

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Bibliographic Details
Main Authors: Bortolin, Daiane C., Gagliardi, Guilherme M., Terra, Marco H.
Format: Conference Proceeding
Language:English
Subjects:
Delay systems
Delays
Linear systems
Markov processes
Markovian jump linear system
Optimization
recursive robust regulator
Regulators
Symmetric matrices
Uncertainty
unknown random delay
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Summary:This paper addresses the regulation problem for discrete-time linear systems with unknown random state delay. The system under consideration can be subject to norm-bounded uncertainties in all parameter matrices. By the lifting method, the delay system is converted to an augmented delay-free Markovian jump system whose Markov chain is not observed. The Markovian system is reformulated as a deterministic system associated with an indicator function. A robust recursive regulator is then deduced by the robust regularized least-squares approach. The provided solution is given in terms of algebraic Riccati equations presented through a square matrix framework. A numerical comparison with methods available in the literature is performed to illustrate the effectiveness of the proposed approach.
ISSN:2576-2370
DOI:10.1109/CDC.2018.8619214