Parametrization of extended stabilizing controllers for continuous-time descriptor systems

DOI10.1016/j.jfranklin.2011.08.006zbMath1239.93097OpenAlexW2086964430MaRDI QIDQ430205

Philippe Chevrel, Yu Feng, Mohamed Bachir Yagoubi

Publication date: 21 June 2012

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.08.006

zbMATH Keywords

continuous-time descriptor systemsextended stabilization control problemgeneralized Sylvester-type equationsunstable and nonproper weighting filters

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Dissipative performance control with output regulation for continuous-time descriptor systems ⋮ Observer design for a class of nonlinear descriptor systems ⋮ H∞ model following control of linear parameter‐varying descriptor systems ⋮ A Family of Robust Simultaneous Controllers With Tuning Parameters Design for a Set of Port-Controlled Hamiltonian Systems ⋮ \(H_\infty\) control with unstable and nonproper weights for descriptor systems ⋮ Lyapunov method for stability of descriptor second-order and high-order systems ⋮ Output regulation for matrix second order singular systems via measurement output feedback ⋮ New approach on solving control problems with descriptor systems ⋮ Comprehensive admissibility for descriptor systems

Uses Software

• Robust Control Toolbox

Cites Work

• Robust control for discrete-time singular large-scale systems with parameter uncertainty
• Non-fragile controller design for discrete descriptor systems
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• Practical stability of descriptor systems with time delays in terms of two measurements
• Generalized control systems, boundary control systems, and delayed control systems
• Robust \(H_\infty \)-control of delayed singular systems with linear fractional parametric uncertainties
• Singular control systems
• Solution to nonsingular \({\mathcal H}_{2}\) optimal control problem with unstable weights
• Control of linear systems with regulation and input constraints
• A survey of linear singular systems
• Some circuits and systems applications of semistate theory
• Unstable and nonproper weights in \({\mathcal H}_ \infty\) control
• Extended \(H_{\infty}\) control -- \(H_{\infty}\) control with unstable weights
• Strongly absolute stability problem of descriptor systems: circle criterion
• Robust control and filtering of singular systems.
• Dynamic equations in descriptor form
• The Linear Multivariable Regulator Problem
• Performance with regulation constraints
• Unnamed Item

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