Zero dynamics and funnel control of linear differential-algebraic systems

DOI10.1007/s00498-012-0085-zzbMath1243.93046OpenAlexW2132485681WikidataQ123287052 ScholiaQ123287052MaRDI QIDQ438981

J. Herrera, H. S. Yoon

Publication date: 31 July 2012

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://www.db-thueringen.de/receive/dbt_mods_00016961

zbMATH Keywords

stabilizationdifferential-algebraic systemszero dynamicsfunnel controlhigh-gain output feedbackminimum phasestrict relative degree

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Reprint of The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions, Disturbance decoupling by behavioral feedback for linear differential-algebraic systems, Observers and Dynamic Controllers for Linear Differential-Algebraic Systems, The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions, Vector Relative Degree and Funnel Control for Differential-Algebraic Systems, General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example, Controllability of Linear Differential-Algebraic Systems—A Survey, Zero dynamics and funnel control for linear electrical circuits, Zero-dynamics design and its application to the stabilization of implicit systems, Zero dynamics and funnel control of general linear differential-algebraic systems, Funnel Control for the Boundary Controlled Heat Equation, Zero dynamics and stabilization for analytic linear systems

Cites Work

• The quasi-Weierstrass form for regular matrix pencils
• A geometric characterization of the reachable and the controllable subspaces of descriptor systems
• Nonlinear control systems.
• A survey of linear singular systems
• Generalized linear systems: Geometric and structural approaches
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Mathematical Systems Theory I
• A generalized state-space for singular systems
• High-gain control without identification: a survey
• Tracking with prescribed transient behaviour
• Structural properties of linear dynamical systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item