Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances

This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is obtained by solving the linear matrix inequality gi...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-08, Vol.11 (15), p.3421
Main Authors: Wang, Chengdan, Yang, Hongli, Ivanov, Ivan Ganchev
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Boolean
Control theory
difference inequality
Discrete time systems
Disturbances
Food science
Hypotheses
Invariants
linear discrete-time systems
Linear matrix inequalities
Linear systems
logarithmic norm
Mathematical analysis
Mathematical research
Optimization
Robust control
robustly controlled invariant set
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Summary:This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is obtained by solving the linear matrix inequality given by logarithmic norm and difference inequality. Illustrative examples are presented to demonstrate the obtained methods.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11153421