Zero dynamics and funnel control of general linear differential-algebraic systems

DOI10.1051/cocv/2015010zbMath1342.34018OpenAlexW3022829538MaRDI QIDQ2808049

No author found.

Publication date: 26 May 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dc270f9b64be65784d2477be6414431196533918

zbMATH Keywords

differential-algebraic systemsinvariant subspacesrelative degreezero dynamicssystem inversionfunnel control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Input-output approaches in control theory (93D25) Implicit ordinary differential equations, differential-algebraic equations (34A09) Control problems involving ordinary differential equations (34H05) Linear ordinary differential equations and systems (34A30)

Related Items

Distinguishability of the descriptor systems with regular pencil, Disturbance decoupling by behavioral feedback for linear differential-algebraic systems, Observers and Dynamic Controllers for Linear Differential-Algebraic Systems, Vector Relative Degree and Funnel Control for Differential-Algebraic Systems, Zero-dynamics design and its application to the stabilization of implicit systems, An extended-observer approach to robust stabilisation of linear differential-algebraic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quasi-Weierstrass form for regular matrix pencils
• Zero dynamics and funnel control of linear differential-algebraic systems
• Implicit linear discrete-time systems
• Normal form for linear systems with respect to its vector relative degree
• Minimal representations of implicit linear systems
• Nonlinear control systems.
• Generalized linear systems: Geometric and structural approaches
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Zero dynamics and funnel control for linear electrical circuits
• Zero dynamics and stabilization for analytic linear systems
• Invariant subspaces and invertibility properties for singular systems: The general case
• The Quasi-Kronecker Form For Matrix Pencils
• High-gain control without identification: a survey
• Circuit synthesis of passive descriptor systems-a modified nodal approach
• Performance funnels and tracking control
• Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling
• Tracking with prescribed transient behaviour
• Structural analysis of electric circuits and consequences for MNA
• Structural properties of linear dynamical systems
• Controllability of Linear Differential-Algebraic Systems—A Survey
• Solution Concepts for Linear DAEs: A Survey
• Zero Dynamics and Stabilization for Linear DAEs
• Addition to “The Quasi-Kronecker Form for Matrix Pencils
• Tracking with Prescribed Transient Behavior for Nonlinear Systems of Known Relative Degree
• Chapter 7: Normal Forms, High-Gain, and Funnel Control for Linear Differential-Algebraic Systems
• Input–Output Structure of Linear Systems with Application to the Decoupling Problem
• Control theory for linear systems