5 research outputs found
Scale-free Protocol Design for Output Synchronization of Heterogeneous Multi-agent subject to Unknown, Non-uniform and Arbitrarily Large Input Delays
This paper studies output synchronization problems for heterogeneous networks
of continuous- or discrete-time right-invertible linear agents in presence of
unknown, non-uniform and arbitrarily large input delay based on localized
information exchange. It is assumed that all the agents are introspective,
meaning that they have access to their own local measurements. Universal linear
protocols are proposed for each agent to achieve output synchronizations.
Proposed protocols are designed solely based on the agent models using no
information about communication graph and the number of agents or other agent
models information. Moreover, the protocols can tolerate arbitrarily large
input delays.Comment: 9 pages, 3 figures, short version of this paper will be presented at
Chinese Control Conference 2020. arXiv admin note: text overlap with
arXiv:2002.06577, arXiv:2001.02117, arXiv:1908.06535, arXiv:2004.0949
An Online Data-Driven Method for Microgrid Secondary Voltage and Frequency Control with Ensemble Koopman Modeling
Low inertia, nonlinearity and a high level of uncertainty (varying topologies
and operating conditions) pose challenges to microgrid (MG) systemwide
operation. This paper proposes an online adaptive Koopman operator optimal
control (AKOOC) method for MG secondary voltage and frequency control. Unlike
typical data-driven methods that are data-hungry and lack guaranteed stability,
the proposed AKOOC requires no warm-up training yet with guaranteed
bounded-input-bounded-output (BIBO) stability and even asymptotical stability
under some mild conditions. The proposed AKOOC is developed based on an
ensemble Koopman state space modeling with full basis functions that combines
both linear and nonlinear bases without the need of event detection or
switching. An iterative learning method is also developed to exploit model
parameters, ensuring the effectiveness and the adaptiveness of the designed
control. Simulation studies in the 4-bus (with detailed inner-loop control) MG
system and the 34-bus MG system showed improved modeling accuracy and control,
verifying the effectiveness of the proposed method subject to various changes
of operating conditions even with time delay, measurement noise, and missing
measurements.Comment: Accepted by IEEE Transactions on Smart Grid for future publicatio
Event-triggered Learning for Linear Quadratic Control
When models are inaccurate, the performance of model-based control will
degrade. For linear quadratic control, an event-triggered learning framework is
proposed that automatically detects inaccurate models and triggers the learning
of a new process model when needed. This is achieved by analyzing the
probability distribution of the linear quadratic cost and designing a learning
trigger that leverages Chernoff bounds. In particular, whenever empirically
observed cost signals are located outside the derived confidence intervals, we
can provably guarantee that this is with high probability due to a model
mismatch. With the aid of numerical and hardware experiments, we demonstrate
that the proposed bounds are tight and that the event-triggered learning
algorithm effectively distinguishes between inaccurate models and probabilistic
effects such as process noise. Thus, a structured approach is obtained that
decides when model learning is beneficial.Comment: 13 pages, 8 figures, accepted for publication in IEEE Transactions on
Automatic Contro