The optimal \(\mathcal{H}_2\) controller for generalized discrete-time systems

DOI10.1016/j.automatica.2021.109889zbMath1480.93245OpenAlexW3195290066MaRDI QIDQ2065239

Bogdan D. Ciubotaru, Andrei Sperilă, Cristian Oarǎ

Publication date: 7 January 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.109889

zbMATH Keywords

descriptor systemsdigital implementationcentered realizationsgeneralized Riccati theoryminimal \(\mathcal{H}_2\) norm

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Discrete-time control/observation systems (93C55)

Related Items (1)

Improved robust filter synthesis combining linear matrix inequalities and heuristic algorithms

Cites Work

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• \(\mathcal{H}_2\) optimal control for generalized discrete-time systems
• The \(l^ 2\)-control problem for time-varying discrete systems
• Numerical solution to a descriptor discrete-time algebraic Riccati equation
• A generalized state-space for singular systems
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Properties of the system matrix of a generalized state-space system†
• Minimal factorization of rational matrix functions

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