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Journal articleLee CK, Su YP, Hui SYR, 2011, , IEEE TRANSACTIONS ON POWER ELECTRONICS, Vol: 26, Pages: 2936-2945, ISSN: 0885-8993
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- Citations: 45
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Journal articleChaudhuri NR, Majumder R, Chaudhuri B, et al., 2011, , IEEE TRANSACTIONS ON POWER DELIVERY, Vol: 26, Pages: 2774-2784, ISSN: 0885-8977
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- Citations: 136
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Journal articlePrieto-Araujo E, Bianchi FD, Junyent-Ferre A, et al., 2011, , IEEE TRANSACTIONS ON POWER DELIVERY, Vol: 26, Pages: 2476-2485, ISSN: 0885-8977
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- Citations: 209
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Journal articleTrilla L, Gomis-Bellmunt O, Junyent-Ferre A, et al., 2011, , IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, Vol: 2, Pages: 509-519, ISSN: 1949-3029
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- Citations: 52
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Journal articleBettiol P, Frankowska H, Vinter RB, 2011, , Journal of Differential Equations, Vol: 252, Pages: 1912-1933, ISSN: 1090-2732
This paper concerns the validity of estimates on the distance of an arbitrary state trajectory from the set of state trajectories which lie in a given state constraint set. These so called distance estimates have wide-spread application in state constrained optimal control, including justifying the use of the Maximum Principle in normal form and establishing regularity properties of value functions. We focus on linear, L∞ distance estimates which, of all the available estimates have, so far, been the most widely used. Such estimates are known to be valid for general, closed state constraint sets, provided the functions defining the dynamic constraint are Lipschitz continuous, with respect to the time and state variables. We ask whether linear, L∞ distance estimates remain valid when the Lipschitz continuity hypothesis governing t-dependence of the data is relaxed. We show by counter-example that these distance estimates are not valid in general if the hypothesis of Lipschitz continuity is replaced by continuity. We also provide a new hypothesis, ‘absolute continuity from the left’, for the validity of linear, L∞ estimates. The new hypothesis is less restrictive than Lipschitz continuity and even allows discontinuous time dependence in certain cases. It is satisfied, in particular, by differential inclusions exhibiting non-Lipschitz t-dependence at isolated points, governed, for example, by a fractional-power modulus of continuity. The relevance of distance estimates for state constrained differential inclusions permitting fractional-power time dependence is illustrated by an example in engineering design, where we encounter an isolated, square-root type singularity, concerning the t-dependence of the data.
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Journal articleLin D, Yan W, Hui SYR, 2011, , IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, Vol: 58, Pages: 4145-4152, ISSN: 0278-0046
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- Citations: 12
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Journal articleZhong WX, Liu X, Hui SYR, 2011, , IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, Vol: 58, Pages: 4136-4144, ISSN: 0278-0046
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- Citations: 211
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Journal articleLee CK, Li S, Hui SYR, 2011, , IEEE TRANSACTIONS ON SMART GRID, Vol: 2, Pages: 548-554, ISSN: 1949-3053
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- Citations: 66
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Journal articleCastro M, Pudjianto D, Djapic P, et al., 2011, , IET GENERATION TRANSMISSION & DISTRIBUTION, Vol: 5, Pages: 850-859, ISSN: 1751-8687
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- Citations: 5
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Journal articleZhong WX, Choi WP, Ho WWC, et al., 2011, , IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, Vol: 58, Pages: 3287-3297, ISSN: 0278-0046
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- Citations: 3
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Journal articleKondoh J, Shafiu A, Jenkins N, et al., 2011, , ELECTRICAL ENGINEERING IN JAPAN, Vol: 176, Pages: 19-28, ISSN: 0424-7760
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Journal articleMayne DQ, Kerrigan EC, van Wyk EJ, et al., 2011, , International Journal of Robust and Nonlinear Control, Vol: 21, Pages: 1341-1353, ISSN: 1099-1239
This paper extends tube-based model predictive control of linear systems to achieve robust control of nonlinear systems subject to additive disturbances. A central or reference trajectory is determined by solving a nominal optimal control problem. The local linear controller, employed in tube-based robust control of linear systems, is replaced by an ancillary model predictive controller that forces the trajectories of the disturbed system to lie in a tube whose center is the reference trajectory thereby enabling robust control of uncertain nonlinear systems to be achieved.
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Journal articleGomis-Bellmunt O, Junyent-Ferre A, Sumper A, et al., 2011, , IEEE Transactions on Power Systems, Vol: 26, Pages: 1632-1640, ISSN: 1558-0679
A control scheme for wind farms based on synchronousgenerators connected to a single power converter ispresented. The scheme is applicable to HVDC interfaced offshoreor remote wind farms. The proposed control scheme is based oncomputing the optimal wind farm electrical frequency dependingon the different incoming wind speeds. The power converterregulates the system frequency by adjusting the power injected tothe HVDC circuit. Fault ride-through is also possible by reducingrapidly the injected active power. The proposed scheme is validatedby means of simulations with a wind farm composed of fourwind turbines.
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Journal articleJones BL, Kerrigan EC, Morrison JF, et al., 2011, , International Journal of Control, Vol: 84, Pages: 1310-1325, ISSN: 1366-5820
This article investigates the problem of obtaining a state-space model of the disturbance evolution that precedes turbulent flow across aerodynamic surfaces. This problem is challenging since the flow is governed by nonlinear, partial differential-algebraic equations for which there currently exists no efficient controller/estimator synthesis techniques. A sequence of model approximations is employed to yield a linear, low-order state-space model, to which standard tools of control theory can be applied. One of the novelties of this article is the application of an algorithm that converts a system of differential-algebraic equations into one of ordinary differential equations. This enables straightforward satisfaction of boundary conditions whilst dispensing with the need for parallel flow approximations and velocity–vorticity transformations. The efficacy of the model is demonstrated by the synthesis of a Kalman filter that clearly reconstructs the characteristic features of the flow, using only wall velocity gradient information obtained from a high-fidelity nonlinear simulation.
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Journal articleHowey DA, Bansal A, Holmes AS, 2011, , Smart Materials and Structures, Vol: 20, Pages: 1-12
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Journal articleHowell SD, Duck PW, Hazel A, et al., 2011, , IMA JOURNAL OF MANAGEMENT MATHEMATICS, Vol: 22, Pages: 231-252, ISSN: 1471-678X
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- Citations: 9
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Journal articleHowey DA, Holmes AS, Pullen KR, 2011, , IEEE T IND APPL, Vol: 47, Pages: 1716-1723, ISSN: 0093-9994
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Journal articleGan CK, Mancarella P, Pudjianto D, et al., 2011, , ELECTRIC POWER SYSTEMS RESEARCH, Vol: 81, Pages: 1363-1372, ISSN: 0378-7796
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- Citations: 31
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Journal articleAngeli D, Praly L, 2011, , IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 56, Pages: 1582-1592, ISSN: 0018-9286
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- Citations: 37
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PatentTrainer DR, Soto-Sanchez DE, Green TC, et al., 2011,
DC Network Active Filtering using VSC
, WO 2,013,000,510 -
Journal articleChen W, Hui SYR, 2011, , IEEE TRANSACTIONS ON POWER ELECTRONICS, Vol: 26, Pages: 1714-1722, ISSN: 0885-8993
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- Citations: 70
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Journal articleTook CC, Strbac G, Aihara K, et al., 2011, , RENEWABLE ENERGY, Vol: 36, Pages: 1754-1760, ISSN: 0960-1481
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- Citations: 74
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Journal articleChang H, Astolfi A, Shim H, 2011, , AUTOMATICA, Vol: 47, Pages: 1271-1277, ISSN: 0005-1098
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- Citations: 11
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Journal articleVinter RB, Bettiol P, 2011,
Trajectories satisfying a state constraint: improved estimates and new non-degeneracy conditions
, IEEE Transactions on Automatic Control, Vol: 56, Pages: 1090-1096For a state-constrained control system described by a differential inclusion and a single functional inequality state constraint, it is known that, under an `inward pointing condition', the $W^{1,1}$ distance of an arbitrary state trajectory to the set of state trajectories, which have the same left endpoint and which satisfy the state constraint, is linearly related to the state constraint violation. In this paper we show that, in situations where the state-constrained control system is described instead by a controlled differential equation, this estimate can be improved by replacing the $W^{1,1}$ distance on state trajectories by the Ekeland metric of the distance of the control functions. A counter-example reveals that a refinement of this nature is not in general valid for state constrained differential inclusions. Finally we show how the refined estimates may be used to establish new conditions for non-degeneracy of the state constrained Maximum Principle, in circumstances when the data depends discontinuously on the control variable.
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Journal articleLaila DS, Lovera M, Astolfi A, 2011, , AUTOMATICA, Vol: 47, Pages: 975-980, ISSN: 0005-1098
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- Citations: 27
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Conference paperHey J, Howey DA, Martinez-Botas R, et al., 2011,
Transient thermal modelling of an Axial Flux Permanent Magnet (AFPM) machine with model parameter optimisation using a Monte Carlo method
, Vehicle Thermal Management Systems VTMS 10, Publisher: IMechE -
Journal articleOrtega R, Praly L, Astolfi A, et al., 2011, , IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, Vol: 19, Pages: 601-614, ISSN: 1063-6536
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- Citations: 149
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Journal articleNorman AK, Kerrigan EC, McKeon BJ, 2011, , JOURNAL OF FLUID MECHANICS, Vol: 675, Pages: 268-296, ISSN: 0022-1120
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- Citations: 17
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Journal articleHowey DA, Martinez-Botas RF, Lytton L, et al., 2011, , Transportation Research Part D, Vol: 6, Pages: 459-464
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Journal articleCouchman IJ, Kerrigan EC, Boehm C, 2011, , AUTOMATICA, Vol: 47, Pages: 761-768, ISSN: 0005-1098
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- Citations: 9
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