Computation of the recoverable region and stabilisation problem in the recoverable region for discrete-time systems

DOI10.1080/00207170902802984zbMath1178.93028OpenAlexW2165702857MaRDI QIDQ3654582

Xu Wang, Sandip Roy, Peddapullaiah Sannuti, Anton A. Stoorvogel, Ali Saberi

Publication date: 6 January 2010

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

Full work available at URL: https://doi.org/10.1080/00207170902802984

zbMATH Keywords

state constraintsnonlinear controllinear system structurerecoverable region

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) System structure simplification (93B11) Attainable sets, reachability (93B03)

Related Items (1)

Semi-global stabilization of discrete-time systems subject to non-right invertible constraints

Cites Work

• Constrained stabilization problems for linear plants
• Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints
• Squaring down of non-strictly proper systems
• Convergence of an algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
• Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling
• A general result on the stabilization of linear systems using bounded controls
• In-the-large stability of relay and saturating control systems with linear controllers

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