Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems

DOI10.1080/00207179.2011.622791zbMath1236.93036OpenAlexW2024266016MaRDI QIDQ3119116

Timo Reis, Jens Möckel, Tatjana Stykel

Publication date: 7 March 2012

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://depositonce.tu-berlin.de/handle/11303/15729

zbMATH Keywords

descriptor systemsmodel reductionbalanced truncationgap metricgeneralized algebraic Riccati equationsnormalized coprime factorisation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers ⋮ Reduced order LQG control design for port Hamiltonian systems ⋮ Error bounds for port-Hamiltonian model and controller reduction based on system balancing ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Optimal Hankel norm model reduction for discrete-time descriptor systems ⋮ A low-rank solution method for Riccati equations with indefinite quadratic terms ⋮ Complexity reduction of large-scale stochastic systems using linear quadratic Gaussian balancing ⋮ Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems ⋮ 2 Balancing-related model reduction methods ⋮ Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction

Cites Work

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• A Survey of Model Reduction by Balanced Truncation and Some New Results

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