\(\mathcal{H}_{2}\) filtering for discrete-time affine nonlinear descriptor systems

DOI10.1007/s00034-011-9358-xzbMath1258.93108OpenAlexW2032321792MaRDI QIDQ453689

Michel Perrier, M. D. S. Aliyu

Publication date: 27 September 2012

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-011-9358-x

zbMATH Keywords

normal filter\(\mathcal{H}_{2}\)-normdiscrete nonlinear filteringdiscrete-time descriptor nonlinear systemdiscrete-time Hamilton-Jacobi-Bellman equationssingular filter

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Dynamic programming in optimal control and differential games (49L20) Discrete-time control/observation systems (93C55)

Related Items

Finite-time \(H_\infty\) control for nonlinear discrete Hamiltonian descriptor systems

Cites Work

• Unnamed Item
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• Kalman filtering for affine nonlinear descriptor systems
• Singular control systems
• Nonlinear systems. Analysis, stability, and control
• On observing nonlinear descriptor systems
• Extension of minimum variance estimation for systems with unknown inputs.
• Maximum-likelihood recursive nonlinear filtering
• Stochastic processes and filtering theory
• Filtering and LQG problems for discrete-time stochastic singular systems
• Observers for discrete singular systems
• Some generalized notions of observability
• Observers for singular systems
• Kalman filtering and Riccati equations for descriptor systems
• A singular perturbation analysis of high-gain feedback systems
• Kalman filtering for general discrete-time linear systems
• Design of a class of Luenberger observers for descriptor systems
• Design of observers for descriptor systems
• OnH∞-control of discrete-time nonlinear systems
• Reduced-order observer design for descriptor systems with unknown inputs
• Discrete-Time ${\cal H}_\infty$ Control Problem for Nonlinear Descriptor Systems
• Observers for a Class of Nonlinear Singular Systems
• Design of proportional-integral observer for unknown input descriptor systems
• Robust Kalman Filter for Descriptor Systems