Imperial College London
Portrait Picture

Prof David Angeli

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Nonlinear Network Dynamics
 
 
 
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Contact

 

+44 (0)20 7594 6283d.angeli Website

 
 
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Location

 

1107CElectrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

238 results found

Chaillet A, Angeli D, Ito H, 2012, Strong iISS: combination of iISS and ISS with respect to small inputs, 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), Pages: 2256-2261, ISSN: 0743-1546

Journal article

Banaji M, Angeli D, 2012, CONVERGENCE IN STRONGLY MONOTONE SYSTEMS WITH AN INCREASING FIRST INTEGRAL (vol 42, pg 334, 2010), SIAM JOURNAL ON MATHEMATICAL ANALYSIS, Vol: 44, Pages: 536-537, ISSN: 0036-1410

Journal article

Angeli D, Sontag ED, 2012, Remarks on the invalidation of biological models using monotone systems theory, 51st IEEE Annual Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 2989-2994, ISSN: 0743-1546

Conference paper

Angeli D, Amrit R, Rawlings J, 2012, On average performance and stability of economic model predictive control, IEEE Transactions on Automatic Control

Control performance and cost optimization can beconflicting goals in the management of industrial processes.Even when optimal or optimization-based control synthesis tools are applied, the economic cost associated with plant operation is often only optimized according to static criteria that pick,among all feasible steady states, those with minimal cost. In mathematical terms an economic cost functional differs from stage costs commonly adopted in MPC as it need not be minimalat its best equilibrium.This note collects and illustrates some recent advances in receding horizon optimization of nonlinear systems that allow the control designer to simultaneously and dynamically optimize transient and steady-state economic performance.In particular, we show that average performance of economic MPC is never worse than the optimal steady-state operation. We introduce a dissipation inequality and supply function that extend previous sufficient conditions for asymptotic stability of economic MPC. Dissipativity is also shown to be a sufficient condition for concluding that steady-state operation is optimal. We show how to modify an economic cost function so that steady-state operation is asymptotically stable when that feature is deemed desirable. Finally, for the case when steady-state operation is not optimal, we develop two modified MPC controllers thatasymptotically guarantee (i) improved performance compared to optimal periodic control and (ii) satisfaction of constraints on average values of states and inputs.

Journal article

Angeli D, de Paola A, Strbac G, 2012, Distributed frequency control by means of responsive wind generation, 51st IEEE Annual Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 5834-5839, ISSN: 0743-1546

Conference paper

Angeli D, Astolfi A, 2012, A stochastic approach to distributed power frequency control by means of smart appliances, 51st IEEE Annual Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 6896-6901, ISSN: 0743-1546

Conference paper

Rawlings JB, Angeli D, Bates CN, 2012, Fundamentals of Economic Model Predictive Control, 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), Pages: 3851-3861, ISSN: 0743-1546

Journal article

Amrit R, Rawlings JB, Angeli D, 2011, Economic optimization using model predictive control with a terminal cost, ANNUAL REVIEWS IN CONTROL, Vol: 35, Pages: 178-186, ISSN: 1367-5788

Journal article

Angeli D, Praly L, 2011, Stability Robustness in the Presence of Exponentially Unstable Isolated Equilibria, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 56, Pages: 1582-1592, ISSN: 0018-9286

Journal article

Angeli D, Kountouriotis PA, 2011, Decentralized random control of refrigerator appliances, IFAC Proceedings Volumes (IFAC-PapersOnline), Vol: 44, Pages: 12144-12149, ISSN: 1474-6670

This paper considers the problem of dynamic demand management of domestic refrigerators. Dynamic demand management is a promising research direction, which aims to improve power system resilience, by dynamically controlling the energy consumption of devices that exhibit thermal energy storage. In this approach, the operating temperature of appliances, and thus their energy consumption, is modified dynamically, within a safe range, in response to mains frequency fluctuations. Such an operating scheme aims at reducing the strain that the demand side introduces in a power network, when the corresponding supply is temporarily disrupted. Previous research has highlighted the potential of this idea for responding to sudden power plant outages. However, deterministic control schemes have proved inadequate as individual appliances tend to "synchronize" with each other, leading to unacceptable levels of overshoot in energy demand, when they "recover" their steady-state operating cycles. In this paper we describe random controllers that are able to respond to sudden plant outages and which avoid the instability phenomena associated with other feedback strategies. Stochasticity is used to achieve desynchronization of individual refrigerators while keeping overall power consumption tightly regulated. © 2011 IFAC.

Journal article

Lee J, Angeli D, 2011, Cooperative distributed model predictive control for linear plants subject to convex economic objectives, Pages: 3434-3439, ISSN: 0743-1546

In this paper we propose a cooperative distributed economic model predictive control strategy for linear systems which consist of finite number of subsystems. The suggested control strategy is generating control feedback which converges to the centralized optimal solution and drives the subsystems to the Pareto optimum provided infinite iterations are allowed at each sampling time. Moreover, the control for each subsystem is computed in itself without coordination layer except for a synchronization requirement between subsystems. We first introduce distributed linear systems with 2 subsystems and economic model predictive control, then show the convergence and stability properties of a suboptimal model predictive control strategy for the system. © 2011 IEEE.

Conference paper

Angeli D, Amrit R, Rawlings JB, 2011, Enforcing Convergence in Nonlinear Economic MPC, 50th IEEE Conference of Decision and Control (CDC)/European Control Conference (ECC), Publisher: IEEE, Pages: 3387-3391, ISSN: 0743-1546

Conference paper

Angeli D, Sontag ED, 2011, A small-gain result for orthant-monotone systems in feedback: the non sign-definite case, 50th IEEE Conference of Decision and Control (CDC)/European Control Conference (ECC), Publisher: IEEE, Pages: 6049-6053, ISSN: 0743-1546

Conference paper

Angeli D, Leenheer PD, Sontag ED, 2011, Persistence Results for Chemical Reaction Networks with Time-Dependent Kinetics and No Global Conservation Laws, SIAM Journal on Applied Mathematics, Vol: 71, Pages: 128-146

Journal article

Angeli D, De Leenheer P, Sontag ED, 2011, PERSISTENCE RESULTS FOR CHEMICAL REACTION NETWORKS WITH TIME-DEPENDENT KINETICS AND NO GLOBAL CONSERVATION LAWS, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 71, Pages: 128-146, ISSN: 0036-1399

Journal article

Angeli D, 2011, Boundedness analysis for open Chemical ReactionNetworks with mass-action kinetics, Natural Computing, Vol: 10, Pages: 751-774

Journal article

Angeli D, De Leenheer P, Sontag E, 2010, Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates, JOURNAL OF MATHEMATICAL BIOLOGY, Vol: 61, Pages: 581-616, ISSN: 0303-6812

Journal article

Angeli D, 2010, A Modular Criterion for Persistence of Chemical Reaction Networks, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 55, Pages: 1674-1679, ISSN: 0018-9286

Journal article

Angeli D, Rawlings JB, 2010, Receding Horizon cost optimization and control for nonlinear plants, IFAC Proceedings Volumes (IFAC-PapersOnline), Vol: 43, Pages: 1217-1223, ISSN: 1474-6670

Control performance and cost optimization can be conflicting goals in the management of industrial processes. Even when optimal or optimization-based control synthesis tools are applied, the economic cost associated with plant operation is often only optimized according to static criteria that pick, among all feasible equilibria, those associated to minimal cost. This note collects and illustrates some recent advances in Receding Horizon optimization of nonlinear systems that allow to simultaneously optimize transient and steady-state economic performance. © 2010 IFAC.

Journal article

Banaji M, Angeli D, 2010, CONVERGENCE IN STRONGLY MONOTONE SYSTEMS WITH AN INCREASING FIRST INTEGRAL, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, Vol: 42, Pages: 334-353, ISSN: 0036-1410

Journal article

Angeli D, Praly L, 2010, Stability Robustness in the presence of exponentially unstable isolated equilibria, 49th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 1581-1586, ISSN: 0743-1546

Conference paper

Angeli D, 2009, Further Results on Incremental Input-to-State Stability, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 54, Pages: 1386-1391, ISSN: 0018-9286

Journal article

Angeli D, 2009, Convergence in Networks With Counterclockwise Neural Dynamics, IEEE TRANSACTIONS ON NEURAL NETWORKS, Vol: 20, Pages: 794-804, ISSN: 1045-9227

Journal article

Angeli D, De Leenheer P, Sontag ED, 2009, Chemical Networks with Inflows and Outflows: A Positive Linear Differential Inclusions Approach, BIOTECHNOLOGY PROGRESS, Vol: 25, Pages: 632-642, ISSN: 8756-7938

Journal article

Angeli D, Hirsch MW, Sontag ED, 2009, Attractors in coherent systems of differential equations, JOURNAL OF DIFFERENTIAL EQUATIONS, Vol: 246, Pages: 3058-3076, ISSN: 0022-0396

Journal article

Angeli D, Amrit R, Rawlings JB, 2009, Receding horizon cost optimization for overly constrained nonlinear plants, Pages: 7972-7977, ISSN: 0743-1546

A receding horizon control algorithm, originally proposed for tracking best-possible steady-states in the presence of overly stringent state and/or input constraints, is analyzed for the case of nonlinear plant models and possibly non-convex cost functionals. Unlike the linear case (with convex cost functionals), convergence to equilibrium is not always possible and only average performance bounds are guaranteed in general. ©2009 IEEE.

Conference paper

Miller RK, Michel AN, Angeli D, 2009, Ordinary Differential Equations, IEEE Control Systems, Vol: 29, Pages: 131-132, ISSN: 1066-033X

Journal article

Angeli D, 2009, A Tutorial on Chemical Reaction Network Dynamics, 10th European Control Conference, Publisher: ELSEVIER, Pages: 398-406, ISSN: 0947-3580

Conference paper

Angeli D, De Leenheer P, Sontag ED, 2009, On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws, Pages: 4559-4564, ISSN: 0743-1546

New checkable criteria for persistence of chemical reaction networks are proposed, which extend those obtained by the authors in previous work. The new results allow the consideration of reaction rates which are time-varying, thus incorporating the effects of external signals, and also relax the assumption of existence of global conservation laws, thus allowing for inflows (production) and outflows (degradation). As an illustration, a hypoxia network is analyzed. ©2009 IEEE.

Conference paper

Angeli D, Sontag ED, 2009, Oscillations in I/O Monotone Systems Under Negative Feedback, IEEE T AUTOMAT CONTR, Pages: 166-176, ISSN: 0018-9286

Oscillatory behavior is a key property of many biological systems. The small-gain theorem (SGT) for input/output monotone systems provides a sufficient condition for global asymptotic stability of an equilibrium, and hence its violation is a necessary condition for the existence of periodic solutions. One advantage of the use of the monotone SGT technique is its robustness with respect to all perturbations that preserve monotonicity and stability properties of a very low-dimensional (in many interesting examples, just one-dimensional) model reduction. This robustness makes the technique useful in the analysis of molecular biological models in which there is large uncertainty regarding the values of kinetic and other parameters. However, verifying the conditions needed in order to apply the SGT is not always easy. This paper provides an approach to the verification of the needed properties and illustrates the approach through an application to a classical model of circadian oscillations, as a nontrivial "case study," and provides a theorem in the converse direction of predicting oscillations when the SGT conditions fail.

Journal article

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