State Control of Linear Systems with Potentially Metzler Dynamics

Krokavec, Dušan; Filasová, Anna

doi:10.1007/978-3-031-10047-5_61

Cited by 3 publications

(1 citation statement)

References 17 publications

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“…This paper contributes to the properties of the interval state estimation for linear systems with ostensible Metzler system matrices. It outlines a new LMI-based approach to determine interval observers with positive observer gains using a combined representation of the ostensible Metzler system matrix (Krokavec and Filasová, 2022). Design conditions are formulated using LMIs, respecting the diagonal stabilization principle, Metzler system matrix parametric constraints, and given interval matrix bounds.…”

Section: Introductionmentioning

confidence: 99%

Interval observers design for systems with ostensible Metzler system matrices

Krokavec

Filasová

2023

Front. Aerosp. Eng.

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This paper attempts to resolve the problem concerning the interval observers design for linear systems with ostensible Metzler system matrices. Because system dynamics matrices are partially different from strictly Metzler structures, a solution is achieved by constructing a composed system matrix representation, which combines pre-compensated interval matrix structures fixed with a prescribed region of D-stability and the reconstructed strictly Metzler matrix structure, related to the original interval system matrix parameter definition. A novel design procedure is presented, which results in a strictly positive observer gain matrix and guarantees that the lower estimates of the positive state variables are non-negative when considering the given system structure and the non-negative system state initial values. The design is computationally simple since it is reduced to the feasibility of the set of linear matrix inequalities.

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Section: Introductionmentioning

confidence: 99%

Interval observers design for systems with ostensible Metzler system matrices

Krokavec

Filasová

2023

Front. Aerosp. Eng.

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Performances of Additive Fault Detection in Linear Ostensible Metzler Systems

Krokavec,

Filasová

2024

2024 International Conference on Control, Automation and Diagnosis (ICCAD)

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Ostensible Metzler Linear Uncertain Systems: Goals, LMI Synthesis, Constraints and Quadratic Stability

Krokavec

2023

Wseas Transactions on Systems and Control

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This paper deals with the design problem for a class of linear continuous systems with dynamics prescribed by the system matrix of an ostensible Metzler structure. The novelty of the proposed solution lies in the diagonal stabilization of the system, which uses the idea of decomposition of the ostensible Metzler matrix, preserving the incomplete positivity of the system during the synthesis. The proposed approach creates a unified framework that covers compactness of interval system parameter representation, Metzler parametric constraints, and quadratic stability. Combining these extensions, all of the conditions and constraints are expressed as linear matrix inequalities. Implications of the results, both for design and for research directions that follow from the proposed method, are discussed at the end of the paper. The efficiency of the method is illustrated by a numerical example.

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State Control of Linear Systems with Potentially Metzler Dynamics

Cited by 3 publications

References 17 publications

Interval observers design for systems with ostensible Metzler system matrices

Interval observers design for systems with ostensible Metzler system matrices

Performances of Additive Fault Detection in Linear Ostensible Metzler Systems

Ostensible Metzler Linear Uncertain Systems: Goals, LMI Synthesis, Constraints and Quadratic Stability

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