@misc{SchifferAlghamdiFridman, author = {Schiffer, Johannes and Alghamdi, Sultan and Fridman, Emilia}, title = {Distributed Secondary Frequency Control Design for Microgrids: Trading off L2-Gain Performance and Communication Efforts under Time-Varying Delays}, series = {2018 European Control Conference, (EEC) 12-15 Jun 2018, Limassol, Cyprus}, journal = {2018 European Control Conference, (EEC) 12-15 Jun 2018, Limassol, Cyprus}, publisher = {IEEE}, address = {Piscataway, NJ}, isbn = {978-3-9524-2698-2}, pages = {6}, language = {en} } @misc{SchifferDoerflerFridman, author = {Schiffer, Johannes and D{\"o}rfler, Florian and Fridman, Emilia}, title = {Robustness of Distributed Averaging Control in Power Systems: Time Delays \& Dynamic Communication Topology}, series = {Automatica}, volume = {80}, journal = {Automatica}, issn = {0005-1098}, doi = {10.1016/j.automatica.2017.02.040}, pages = {261 -- 271}, abstract = {Distributed averaging-based integral (DAI) controllers are becoming increasingly popular in power system applications. The literature has thus far primarily focused on disturbance rejection, steady-state optimality and adaption to complex physical system models without considering uncertainties on the cyber and communication layer nor their effect on robustness and performance. In this paper, we derive sufficient delay-dependent conditions for robust stability of a secondary-frequency-DAI-controlled power system with respect to heterogeneous communication delays, link failures and packet losses. Our analysis takes into account both constant as well as fast-varying delays, and it is based on a common strictly decreasing Lyapunov-Krasovskii functional. The conditions illustrate an inherent trade-off between robustness and performance of DAI controllers. The effectiveness and tightness of our stability certificates are illustrated via a numerical example based on Kundur's four-machine-two-area test system.}, language = {en} } @misc{AlghamdiSchifferFridman, author = {Alghamdi, Sultan and Schiffer, Johannes and Fridman, Emilia}, title = {Synthesizing Sparse and Delay-Robust Distributed Secondary Frequency Controllers for Microgrids}, series = {IEEE Transactions on Control Systems Technology}, volume = {29}, journal = {IEEE Transactions on Control Systems Technology}, number = {2}, issn = {1558-0865}, doi = {10.1109/TCST.2020.2977300}, pages = {691 -- 703}, abstract = {Consensus-based control schemes experience increasing popularity in the context of secondary frequency control in microgrids. Fundamental aspects in their practical implementation are the design of the communication topology as well as robustness with respect to both time-varying communication delays and exogenous disturbances. Motivated by this, we propose a design procedure for a consensus-based secondary frequency controller that ensures robustness with respect to heterogeneous fast-varying communication delays and simultaneously provides the option to trade off the L₂-gain performance against the number of required communication links. Our design criterion is equilibrium-independent and based on the Lyapunov-Krasovskii method for interval time-varying delays together with the descriptor method. The efficacy of the proposed approach is demonstrated by using numerical experiments on the CIGRE benchmark medium-voltage distribution network.}, language = {en} } @misc{RuedaEscobedoFridmanSchiffer, author = {Rueda-Escobedo, Juan G. and Fridman, Emilia and Schiffer, Johannes}, title = {Data-Driven Control for Linear Discrete-Time Delay Systems}, series = {IEEE Transactions on Automatic Control}, volume = {67}, journal = {IEEE Transactions on Automatic Control}, number = {7}, issn = {1558-2523}, doi = {10.1109/TAC.2021.3096896}, pages = {3321 -- 3336}, abstract = {The increasing ease of obtaining and processing data together with the growth in system complexity has sparked the interest in moving from conventional model-based control design toward data-driven concepts. Since in many engineering applications time delays naturally arise and are often a source of instability, we contribute to the data-driven control field by introducing data-based formulas for state feedback control design in linear discrete-time time-delay systems with uncertain delays. With the proposed approach, the problems of system stabilization as well as of guaranteed cost and H∞ control design are treated in a unified manner. Extensions to determine the system delays and to ensure robustness in the event of noisy data are also provided}, language = {en} } @misc{AlghamdiSchifferFridman, author = {Alghamdi, Sultan and Schiffer, Johannes and Fridman, Emilia}, title = {Conditions for Delay-Robust Consensus-Based Frequency Control in Power Systems with Second-Order Turbine-Governor Dynamics}, series = {57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018}, journal = {57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018}, publisher = {IEEE}, address = {Piscataway, NJ}, isbn = {978-1-5386-1395-5}, pages = {786 -- 793}, abstract = {Consensus-based distributed secondary frequency control schemes have the potential to simultaneously ensure real-time frequency restoration and economic dispatch in future power systems with large shares of renewable energy sources. Yet, due to their distributed nature these control schemes critically depend on communication between units and, thus, robustness with respect to communication uncertainties is crucial for their reliable operation. Furthermore, when applied in bulk power systems the control design and analysis should take higher-order turbine-governor dynamics of the generation units explicitly into account. Both aspects have not been addressed jointly in the existing literature. Motivated by this, we derive conditions for robust stability of a consensus-based distributed frequency control scheme applied to a power system model with second-order turbine-governor dynamics in the presence of heterogeneous time-varying communication delays and dynamic communication topology. The result is established by a novel coordinate transformation and reduction to eliminate the invariant subspace in the closed-loop dynamics and by constructing a strict common Lyapunov-Krasovskii functional.}, language = {en} }