Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation

DOI10.1016/j.automatica.2016.07.022zbMath1348.93213OpenAlexW2517244907WikidataQ59891162 ScholiaQ59891162MaRDI QIDQ340629

Johannes Schiffer, Jörg Raisch, Romeo S. Ortega, Eh. M. Fridman

Publication date: 14 November 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/102502/7/Delaydependent_stability_droopcontrolled_microgrids_automatica_final.pdf

zbMATH Keywords

droop controlmicrogrid controlLyapunov-Krasovskii functionalstime delay systemsmicrogrid stabilityport-Hamiltonian systemssmart grid applications

Mathematics Subject Classification ID

Application models in control theory (93C95) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

H\(_\infty\) filter design for a class of delayed Hamiltonian systems with fading channel and sensor saturation ⋮ Robustness of distributed averaging control in power systems: time delays \& dynamic communication topology ⋮ Simultaneous exponential stabilization for stochastic port-controlled Hamiltonian systems with actuator saturations, fading channels and delays ⋮ Stabilization of wind farm integrated transmission system with input delay ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ DYNAMICAL BEHAVIOR OF THE LONG WAVES IN THE NONLINEAR DISPERSIVE MEDIA THROUGH ANALYTICAL AND NUMERICAL INVESTIGATION ⋮ On the asymptotic stability and ultimate boundedness of solutions of a class of nonlinear systems with delay ⋮ Tracking control of the nodes for the complex dynamical network with the auxiliary links dynamics ⋮ \(H_\infty\) observer design for networked Hamiltonian systems with sensor saturations and missing measurements ⋮ Observer-based distributed control and synchronization analysis of inverter-based nonlinear power systems ⋮ Stability of port-Hamiltonian systems with mixed time delays subject to input saturation ⋮ Global synchronization analysis of droop-controlled microgrids -- a multivariable cell structure approach ⋮ Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation ⋮ Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems ⋮ Observer-based output feedback stabilisation and ℒ₂-disturbance attenuation of uncertain Hamiltonian systems with input and output delays

Uses Software

• YALMIP

Cites Work

• A survey on modeling of microgrids -- From fundamental physics to phasors and voltage sources
• Wirtinger's inequality and Lyapunov-based sampled-data stabilization
• Conditions for stability of droop-controlled inverter-based microgrids
• Reciprocally convex approach to stability of systems with time-varying delays
• Robust sampled-data stabilization of linear systems: an input delay approach
• On input-to-state stability of systems with time-delay: a matrix inequalities approach
• Tutorial on Lyapunov-based methods for time-delay systems
• L\(_2\) gain and passivity techniques in nonlinear control.
• An energy-shaping approach to the design of excitation control of synchronous generators
• Delay-dependent methods and the first delay interval
• Introduction to time-delay systems. Analysis and control
• Synchronization and power sharing for droop-controlled inverters in islanded microgrids
• Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids
• Port-Hamiltonian Systems Theory: An Introductory Overview
• Parameter-Dependent Lyapunov Functional for Stability of Time-Delay Systems With Polytopic-Type Uncertainties

This page was built for publication: Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation