Characterization and computation of disturbance invariant sets for constrained switched linear systems with dwell time restriction

Authors:
Masood Dehghan;Chong-Jin Ong
Affiliations:
-;-
Venue:
Automatica (Journal of IFAC)
Year:
2012

Citing 6
Cited 1

Brief paper: Stability results for linear parameter varying and switching systems

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Brief paper: The minimal disturbance invariant set: Outer approximations via its partial sums

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Set-Theoretic Methods in Control

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Brief paper: On the algebraic characterization of invariant sets of switched linear systems

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Brief paper: Discrete-time switching linear system with constraints: Characterization and computation of invariant sets under dwell-time consideration

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Computations of mode-dependent dwell times for discrete-time switching system

Automatica (Journal of IFAC)

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Abstract

This paper introduces the concept and characterization of Disturbance-Dwell-Time invariance (DDT-invariance) and Constraint Admissible DDT-invariance (CADDT-invariance) for constrained systems with additive disturbance under dwell-time switching. Using the characterization, necessary and sufficient conditions for DDT-invariance and algorithms for the computation of the minimal and maximal constraint admissible convex DDT-invariant sets are provided. Numerical examples of such sets for several systems are also provided.