30 research outputs found
Mathematical control of complex systems
Copyright © 2013 ZidongWang et al.This is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
A Robust Consensus Algorithm for Current Sharing and Voltage Regulation in DC Microgrids
In this paper a novel distributed control algorithm for current sharing and
voltage regulation in Direct Current (DC) microgrids is proposed. The DC
microgrid is composed of several Distributed Generation units (DGUs), including
Buck converters and current loads. The considered model permits an arbitrary
network topology and is affected by unknown load demand and modelling
uncertainties. The proposed control strategy exploits a communication network
to achieve proportional current sharing using a consensus-like algorithm.
Voltage regulation is achieved by constraining the system to a suitable
manifold. Two robust control strategies of Sliding Mode (SM) type are developed
to reach the desired manifold in a finite time. The proposed control scheme is
formally analyzed, proving the achievement of proportional current sharing,
while guaranteeing that the weighted average voltage of the microgrid is
identical to the weighted average of the voltage references.Comment: 12 page
Switching and stability properties of conewise linear systems
Being a unique phenomenon in hybrid systems, mode switch
is of fundamental importance in dynamic and control analysis. In
this paper, we focus on global long-time switching and stability
properties of conewise linear systems (CLSs), which are a class of
linear hybrid systems subject to state-triggered switchings
recently introduced for modeling piecewise linear systems. By
exploiting the conic subdivision structure, the “simple switching
behavior” of the CLSs is proved. The infinite-time mode switching
behavior of the CLSs is shown to be critically dependent on two
attracting cones associated with each mode; fundamental properties
of such cones are investigated. Verifiable necessary and
sufficient conditions are derived for the CLSs with infinite mode
switches. Switch-free CLSs are also characterized by exploring
the polyhedral structure and the global dynamical properties. The
equivalence of asymptotic and exponential stability of the CLSs is
established via the uniform asymptotic stability of the CLSs that
in turn is proved by the continuous solution dependence on initial
conditions. Finally, necessary and sufficient stability conditions
are obtained for switch-free CLSs