470 results found
Ascencio P, astolfi A, Parisini T, Backstepping PDE Design: A Convex Optimization Approach, IEEE Transactions on Automatic Control, ISSN: 0018-9286
Di Franco P, Scarciotti G, Astolfi A, A note on the stability of nonlinear differential-algebraic systems, 20th IFAC World Congress
Di Franco P, Scarciotti G, Astolfi A, On the stability of constrained mechanical systems, 56th IEEE Conference on Decision and Control, Publisher: IEEE
Mylvaganam T, Astolfi A, Zero finding via feedback stabilisation, IFAC 2017 World Congress, Publisher: Elsevier, ISSN: 1474-6670
Two iterative algorithms for solving systems of linear and nonlinear equations areproposed. For linear problems the algorithm is based on a control theoretic approach and it isguaranteed to yield a converging sequence for any initial condition provided a solution exists.Systems of nonlinear equations are then considered and a generalised algorithm, again takinginspiration from control theory, is proposed. Local convergence is guaranteed in the nonlinearsetting. Both the linear and the nonlinear algorithms are demonstrated on a series of numericalexamples.
Padoan A, Astolfi, Model reduction by moment matching at isolated singularitiesfor linear systems: a geometric approach, 56th IEEE Conference on Decision and Control, Publisher: IEEE
Padoan A, Astolfi A, Model reduction by moment matching for ZIP systems, 53rd IEEE Conference on Decision and Control, Pages: 3631-3636, ISSN: 0191-2216
Padoan A, Astolfi A, Moments of random variables: a system-theoretic interpretation, American Control Conference 2017, Publisher: IEEE
Moments of continuous random variables with aprobability density function which can be represented as theimpulse response of a linear time-invariant system are studied.Under some assumptions, the moments of the random variableare characterised in terms of the solution of a Sylvester equationand of the steady-state output response of an interconnectedsystem. This allows to interpret well-known notions and resultsof probability theory and statistics in the language of systemtheory, including the notion of moment generating function, thesum of independent random variables and the notion of mixturedistribution.
Padoan A, Astolfi A, Model reduction by moment matching at isolated singularities for linear systems: a complex analytic approach, 20th IFAC 2017 World Congress, Publisher: Elsevier
The model reduction problem by moment matching for continuous-time, single-input, single-output, linear, time-invariant systems is studied at isolated singularities (inparticular, at poles). The notion of moment at a pole of the transfer function is defined.Exploiting this notion a one-to-one correspondence between moments at a pole of the transferfunction and the “limit solution” of a family of Sylvester equations is established. Finally, afamily of reduced order models is defined. A simple example illustrates the theory.
Padoan A, Astolfi A, Eigenvalues and Poles of a Nonlinear System: a Geometric Approach, 56th IEEE Conference on Decision and Control, Publisher: IEEE
Scarciotti G, Astolfi A, Moments at "discontinuous signals" with applications: model reduction for hybrid systems and phasor transform for switching circuits, 22nd International Symposium on Mathematical Theory of Networks and Systems
We provide an overview of the theory and applicationsof the notion of moment at “discontinuous interpolationsignals”, i.e. the moments of a system for input signals thatdo not satisfy a differential equation. After introducing thetheoretical framework, which makes use of an integral matrixequation in place of a Sylvester equation, we discuss someapplications: the model reduction problem for linear systems atdiscontinuous signals, the model reduction problem for hybridsystems and the discontinuous phasor transform for the analysisof circuits powered by discontinuous sources.
Jiang J, Astolfi A, 2017, Shared-Control for a Rear-Wheel Drive Car: Dynamic Environments and Disturbance Rejection, IEEE TRANSACTIONS ON HUMAN-MACHINE SYSTEMS, Vol: 47, Pages: 723-734, ISSN: 2168-2291
Mylvaganam T, Sassano M, Astolfi A, 2017, A Differential Game Approach to Multi-agent Collision Avoidance, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 62, Pages: 4229-4235, ISSN: 0018-9286
Padoan A, Scarciotti G, Astolfi A, 2017, A Geometric Characterisation of the Persistence of Excitation Condition for the Solutions of Autonomous Systems, IEEE Transactions on Automatic Control, Pages: 1-1, ISSN: 0018-9286
Scarciotti G, Astolfi A, 2017, Data-driven model reduction by moment matching for linear and nonlinear systems, AUTOMATICA, Vol: 79, Pages: 340-351, ISSN: 0005-1098
Scarciotti G, Astolfi A, 2017, A review on model reduction by moment matching for nonlinear systems, Lecture Notes in Control and Information Sciences, Pages: 29-52
© 2017, Springer International Publishing AG. The model reduction problem for nonlinear systems and nonlinear time-delay systems based on the steady-state notion of moment is reviewed. We show how this nonlinear description of moment is used to pose and solve the model reduction problem by moment matching for nonlinear systems, to develop a notion of frequency response for nonlinear systems, and to solve model reduction problems in the presence of constraints on the reduced order model. Model reduction of nonlinear time-delay systems is then discussed. Finally, the problem of approximating the moment of nonlinear, possibly time-delay, systems from input/output data is briefly illustrated.
Scarciotti G, Astolfi A, 2017, Nonlinear Model Reduction by Moment Matching, FOUNDATIONS AND TRENDS IN SYSTEMS AND CONTROL, Vol: 4, Pages: I-+, ISSN: 2325-6818
Scarciotti G, Teel AR, Astolfi A, 2017, Model reduction for linear differential inclusions: Moment-set and time-variance, Pages: 3483-3487, ISSN: 0743-1619
© 2017 American Automatic Control Council (AACC). This paper deals with the problem of model reduction by moment matching for linear differential inclusions. The problem is formally formulated and the notions of moment-set and approximate reduced order model are introduced. We first solve the auxiliary problem of model reduction by moment matching for time-varying systems driven by time-varying signal generators. Then, we solve the problem of model reduction for linear differential inclusions. The results are illustrated by means of a numerical example.
Ascencio P, Astolfi A, Parisini T, 2016, An Adaptive Observer for a class of Parabolic PDEs based on a Convex Optimization Approach for Backstepping PDE Design, American Control Conference (ACC), Publisher: IEEE, Pages: 3429-3434, ISSN: 0743-1619
Ascencio P, Astolfi A, Parisini T, 2016, Backstepping PDE-Based Adaptive Observer for a Single Particle Model of Lithium-Ion Batteries, 55th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 5623-5628, ISSN: 0743-1546
Bauso D, Mylvaganam T, Astolfi A, 2016, Crowd-Averse Robust Mean-Field Games: Approximation via State Space Extension, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 61, Pages: 1882-1894, ISSN: 0018-9286
Carnevale D, Galeani S, Sassano M, et al., 2016, Robust hybrid estimation and rejection of multi-frequency signals, INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, Vol: 30, Pages: 1649-1673, ISSN: 0890-6327
Chang H, Moog C, Astolfi A, 2016, Occurrence of HIV eradication for preexposure prophylaxis treatment with a deterministic HIV model, IET SYSTEMS BIOLOGY, Vol: 10, Pages: 237-243, ISSN: 1751-8849
Ionescu TC, Astolfi A, 2016, Nonlinear Moment Matching-Based Model Order Reduction, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 61, Pages: 2837-2847, ISSN: 0018-9286
Jiang J, Astolfi A, 2016, Shared-Control for Typical Driving Scenarios, European Control Conference (ECC), Publisher: IEEE, Pages: 939-944
Jiang J, Astolfi A, 2016, State and Output-Feedback Shared-Control for a Class of Linear Constrained Systems, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 61, Pages: 3209-3214, ISSN: 0018-9286
Jiang J, Di Franco P, Astolfi A, 2016, Shared Control for the Kinematic and Dynamic Models of a Mobile Robot, IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, Vol: 24, Pages: 2112-2124, ISSN: 1063-6536
Mylvaganam T, Astolfi A, 2016, Towards a Systematic Solution for Differential Games with Limited Communication, American Control Conference (ACC), Publisher: IEEE, Pages: 3814-3819, ISSN: 0743-1619
Mylvaganam T, Astolfi A, 2016, Dynamic Algorithms for Solving Coupled Algebraic Riccati Equations Arising in Mixed H-2/H-infinity Control for Scalar Linear Systems, 55th IEEE Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 652-657, ISSN: 0743-1546
Mylvaganam T, Astolfi A, 2016, A Nash Game Approach to Mixed H-2/H-infinity Control for Input-Affine Nonlinear Systems, 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Publisher: ELSEVIER SCIENCE BV, Pages: 1024-1029, ISSN: 2405-8963
Padoan A, Astolfi A, 2016, A Note on Delay Coordinates for Locally Observable Analytic Systems, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 61, Pages: 1409-1412, ISSN: 0018-9286
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