A chart of numerical methods for structured eigenvalue problems
SIAM Journal on Matrix Analysis and Applications
Algorithms for Computer-Aided Design of Multivariable Control Systems
Algorithms for Computer-Aided Design of Multivariable Control Systems
Parallel Algorithms for Optimal Control of Large Scale Linear Systems
Parallel Algorithms for Optimal Control of Large Scale Linear Systems
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
Linear Optimal Control Systems
Linear Optimal Control Systems
Singular perturbation and iterative separation of time scales
Automatica (Journal of IFAC)
WSEAS Transactions on Systems and Control
MIC '07 Proceedings of the 26th IASTED International Conference on Modelling, Identification, and Control
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper we show how to decompose the singularly perturbed algebraic Riccati equation and the corresponding linear-quadratic optimal control problem at steady state in terms of reduced-order pure-slow and pure-fast problems by using the eigenvector approach. The eigenvector approach should be used for decomposition of singularly perturbed control systems in the cases when the singular perturbation parameter is not very small. In such cases the decomposition methods based on series expansions, fixed point iterations, subspace iterations, and Newton iterations, either fail to produce solutions of the corresponding algebraic equations or display very slow convergence.