128 results found
Angeli D, Athanasopoulos N, Jungers RM, et al., 2017, Path-complete graphs and common Lyapunov functions, Pages: 81-90
© 2017 ACM. A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of functions, called pieces, and a directed, labeled graph defining Lyapunov inequalities between these pieces. It provides a stability certificate for discrete-time arbitrary switching systems. In this paper, we prove that the satisfiability of such a criterion implies the existence of a Common Lyapunov Function, expressed as the composition of minima and maxima of the pieces of the Path-Complete Lyapunov function. The converse however is not true even for discrete-time linear systems: we present such a system where a max-of-2 quadratics Lyapunov function exists while no corresponding Path-Complete Lyapunov function with 2 quadratic pieces exists. In light of this, we investigate when it is possible to decide if a Path-Complete Lyapunov function is less conservative than another. By analyzing the combinatorial and algebraic structure of the graph and the pieces respectively, we provide simple tools to decide when the existence of such a Lyapunov function implies that of another.
De Paola A, Angeli D, Strbac G, 2017, Price-Based Schemes for Distributed Coordination of Flexible Demand in the Electricity Market, IEEE TRANSACTIONS ON SMART GRID, Vol: 8, Pages: 3104-3116, ISSN: 1949-3053
De Paola A, Angeli D, Strbac G, 2017, Distributed schemes for efficient deployment of price-responsive demand with partial flexibility, Journal of Control and Decision, Pages: 1-26, ISSN: 2330-7706
De Paola A, Angeli D, Strbac G, 2017, A Semi-Decentralized Scheme for Integration of Price-Responsive Appliances in the Electricity Market, 20th World Congress of the International-Federation-of-Automatic-Control (IFAC), Publisher: ELSEVIER SCIENCE BV, Pages: 6729-6736, ISSN: 2405-8963
De Paola A, Angeli D, Strbac G, 2017, Convergence and optimality of a new iterative price-based scheme for distributed coordination of flexible loads in the electricity market, IEEE 56th Annual Conference on Decision and Control (CDC), Publisher: IEEE, ISSN: 0743-1546
Dong Z, Angeli D, 2017, A generalized approach to Economic Model Predictive Control with terminal penalty functions, IFAC-PapersOnLine, Vol: 50, Pages: 518-523
© 2017 In this paper, we first introduce upper and a lower bounds of the best asymptotic average performance for nonlinear control systems based on the concepts of dissipativity and control storage functions. This allows to extend the formulation and analysis of Economic Model Predictive Control to more general optimal operation regimes, such as periodic solutions. A performance and stability analysis is carried out within this generalized framework. Finally two examples are proposed and discussed to show the merits of the proposed approach.
Forni P, Angeli D, 2017, Characterizations of Integral Input-to-State Stability for Systems With Multiple Invariant Sets, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 62, Pages: 3729-3743, ISSN: 0018-9286
Manfredi S, Angeli D, 2017, Necessary and sufficient conditions for consensus in nonlinear monotone networks with unilateral interactions, AUTOMATICA, Vol: 77, Pages: 51-60, ISSN: 0005-1098
Manfredi S, Angeli D, 2017, A Criterion for Exponential Consensus of Time-Varying Non-Monotone Nonlinear Networks, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 62, Pages: 2483-2489, ISSN: 0018-9286
de Paola A, Angeli D, Strbac G, 2017, On Distributed Scheduling of Flexible Demand and Nash Equilibria in the Electricity Market, Dynamic Games and Applications, ISSN: 2153-0785
This paper presents a novel game theory approach for large-scale deployment of price-responsive electrical appliances. In the proposed distributed control scheme, each appliance independently schedules its power consumption on the basis of a broadcast demand/price signal, aiming to complete its task at minimum cost. The conflicting interactions of the appliances, competing for power consumption at the cheapest hours of the day, are modelled through a differential game with a continuum of players, and efficient deployment of flexible demand is characterized as a Nash equilibrium. A novel approach is adopted to derive necessary and sufficient equilibrium conditions: intrinsic properties of the problem (price monotonicity, unidirectionality of power transfers) are exploited to perform an equilibrium study based on sublevel sets of the considered demand profiles. As a result, it is possible to determine for which penetration levels of flexible demand, types of appliances and inflexible demand profiles it is possible to achieve an equilibrium. Such stable configuration is achieved through the broadcast of a single demand/price signal and does not require iterated exchange of information between devices and coordinator. In addition, the global optimality of the equilibrium is proved, necessary conditions for Pareto optimality are derived, and a preliminary analysis of devices with partial time availability is carried out. The performance of the proposed control strategy is evaluated in simulation, considering realistic future scenarios of the UK power system with large penetration of flexible demand.
Al-Radhawi MA, Angeli D, 2016, New Approach to the Stability of Chemical Reaction Networks: Piecewise Linear in Rates Lyapunov Functions, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 61, Pages: 76-89, ISSN: 0018-9286
Al-Radhawi MA, Angeli D, 2016, Construction of Robust Lyapunov Functions for Reaction Networks, European Control Conference (ECC), Publisher: IEEE, Pages: 928-935
Angeli D, Casavola A, Tedesco F, 2016, Theoretical advances on Economic Model Predictive Control with time-varying costs, ANNUAL REVIEWS IN CONTROL, Vol: 41, Pages: 218-224, ISSN: 1367-5788
De Paola A, Angeli D, Strbac G, 2016, Distributed Control of Micro-Storage Devices With Mean Field Games, IEEE TRANSACTIONS ON SMART GRID, Vol: 7, Pages: 1119-1127, ISSN: 1949-3053
De Paola A, Angeli D, Strbac G, 2016, Scheduling of Wind Farms for Optimal Frequency Response and Energy Recovery, IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, Vol: 24, Pages: 1764-1778, ISSN: 1063-6536
De Paola A, Angeli D, Strbac G, 2016, Decentralized Coordination of Large Populations of Flexible Electrical Appliances through Demand Saturation, 55th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 4937-4943, ISSN: 0743-1546
De Paola A, Angeli D, Strbac G, 2016, Integration of Price-Responsive Appliances in the Energy Market through Flexible Demand Saturation, IEEE Transactions on Control of Network Systems, Pages: 1-1
Forni P, Angeli D, 2016, The ISS approach to the stability and robustness properties of nonautonomous systems with decomposable invariant sets: An overview, EUROPEAN JOURNAL OF CONTROL, Vol: 30, Pages: 50-60, ISSN: 0947-3580
Forni P, Angeli D, 2016, Input-to-state stability for cascade systems with multiple invariant sets, SYSTEMS & CONTROL LETTERS, Vol: 98, Pages: 97-110, ISSN: 0167-6911
Forni P, Angeli D, 2016, Cascades of iISS and Strong iISS systems with multiple invariant sets, 55th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 459-464, ISSN: 0743-1546
Forni P, Angeli D, 2016, Output-to-State Stability for systems on manifolds with multiple invariant sets, 55th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 453-458, ISSN: 0743-1546
Manfredi S, Angeli D, 2016, Frozen state conditions for exponential consensus of time-varying cooperative nonlinear networks, AUTOMATICA, Vol: 64, Pages: 182-189, ISSN: 0005-1098
Manfredi S, Angeli D, 2016, Consensus for Nonlinear Monotone Networks with Unilateral Interactions, 55th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 2609-2614, ISSN: 0743-1546
Sootla A, Oyarzun D, Angeli D, et al., 2016, Shaping pulses to control bistable systems: Analysis, computation and counterexamples, AUTOMATICA, Vol: 63, Pages: 254-264, ISSN: 0005-1098
Angeli D, Casavola A, Tedesco F, 2015, On Average Performance of Economic Model Predictive Control with Time-Varying Cost and Terminal Constraints, American Control Conference, Publisher: IEEE, Pages: 2974-2979, ISSN: 0743-1619
Angeli D, Casavola A, Tedesco F, 2015, Economic Model Predictive Control with Parameter-Varying Cost and Guaranteed Average Performance, 54th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 4314-4319
Angeli D, Casavola A, Tedesco F, 2015, Theoretical advances on Economic Model Predictive Control with time-varying costs, Pages: 272-277
© 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. Economic Model Predictive Control is a technique for optimization of economic revenues arising from controllod dynamical processes that has estabilished itself as a variant of standard Tracking Model Predictive Control. It departs from the latter in that arbitrary cost functions are allowed in the formulation of the stage cost. This paper takes a further step in expanding the applicability of Economic Model Predictive Control by illustrating how the paradigm can be adapted in order to accomodate time-varying or parameter-varying costs.
Angeli D, Efimov D, 2015, Characterizations of Input-to-State Stability for Systems With Multiple Invariant Sets, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 60, Pages: 3242-3256, ISSN: 0018-9286
De Paola A, Angeli D, Strbac G, 2015, Analysis of Nash Equilibria in Energy Markets with Large Populations of Price-Responsive Flexible Appliances, 54th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 5587-5592
Forni P, Angeli D, 2015, Integral ISS for systems with multiple invariant sets, 54th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 3736-3741
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