Dominic Buchstaller's research while affiliated with Rolls-Royce Power Systems and other places

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Publications (13)


The Deterministic Interpretation of the Kalman Filter
  • Article

April 2020

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146 Reads

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13 Citations

International Journal of Control

Dominic Buchstaller

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Jing Liu

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It is known that the Kalman filter has both stochastic and deterministic interpretations, whereby the deterministic interpretation relates the prediction of the filter to the response of the plant driven by the minimizing least squares disturbances acting thereon. Whilst the deterministic interpretation is known, the contribution of this note is to provide an alternative, simple and self-contained proof of these properties in the discrete case. The presentation allows an efficient derivation of the key deterministic properties, i.e., that the residuals computed by the Kalman filter (both forwards and backwards) are identical to the least squares disturbances. Results with variations are given for both zero and non-zero initial conditions. Finally, a numerical example is given to illustrate the deterministic properties.

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The deterministic interpretation of the Kalman Filter (accepted)

January 2019

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309 Reads

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1 Citation

International Journal of Control

It is known that the Kalman Filter has both stochastic and deterministic interpretations, whereby the deterministic interpretation relates the prediction of the filter to the response of the plant driven by the minimizing least squares disturbances acting thereon. Whilst the deterministic interpretation is known, the contribution of this note is to provide an alternative, simple and self-contained proof of these properties in the discrete case. The presentation allows an efficient derivation of the key deterministic properties. Results are given for both zero and non-zero initial conditions


Multiple model based fault localization for HVDC transmission systems: Robustness and real-world performance

May 2016

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26 Reads

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3 Citations

This paper discusses the robustness properties of a novel, model-based HVDC fault localization algorithm. The approach utilizes a bank of Kalman filters to rank the fit of a discrete set of line fault models to measured data. The best fitting model indicates the fault position and fault type. The robustness of the algorithm in the presence of disturbances and unmodeled dynamics is demonstrated using synthetic data from high fidelity simulations as well as field data from a real HVDC transmission system.


A multiple model approach to fault detection and localization in multi-terminal HVDC systems

November 2015

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25 Reads

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5 Citations

This paper discusses a novel protection technique for DC line faults in multi-terminal HVDC (MTDC) systems. Hereby a bank of Kalman filters ranks the fit of a discrete set of line fault models to measured data. The best fitting model indicates the fault location and fault type. The suitability of the technique is discussed for fast on-line fault localization and exact off-line fault localization and fault identification. Experimental results are shown to validate the approach based on data from a high fidelity simulation of a 3-terminal HVDC system.


IREN2: Zukunftsfähige Netze zur Integration Regenerativer Energiesysteme

March 2015

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78 Reads

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2 Citations

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[...]

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Helmut Biechl

The focus of the German federal government’s energy agenda is an environmental friendly, reliable and affordable energy supply with the emphasis on renewable energy sources. The projected increase in renewable energy production requires new concepts for suitable grid and energy market integration. The installation of an ever increasing capacity of renewable energy sources goes in hand with increasingly stringent system requirements on the distribution grid. These challenges require novel operational strategies to hold the gird state within a permissible region, ensuring the supply security of the end customer. One possible solution-approach in this context pose managed micro-grids. Micro-grids have the property that on the one hand they are able to form electrical islands for a limited amount of time (e.g. in case of failure) and on the other hand they can deliver grid services to the (connected) overlaying electricity grid – a functionality that we denote ‘topological power plant’. In the context of IREN2 (Sustainable Grids for the Integration of Renewable Energy Systems) we will evaluate the technological and economical aspects of real-world micro grid operation. IREN2 builds on the insights gained from IRENE (project term 2011 – 2013) which was concerned with the integration of renewable energy sources as well as electric mobility. Since July 2014, the project partners are in the process of realizing an island grid capable micro-grid in the center of Wildpoldsried. Key components are tab changing transformers, a battery storage system, a number of (controllable) PV-systems, load/PV emulators, diesel generators with vegetable oil as well as an elaborate measurement and communication infrastructure. AÜW GmbH is responsible for all grid-related tasks within IREN2 and will be supported by their subsidiary egrid applications & consulting GmbH offers consulting services in respect to smart grid expansion.


Robust Stability for Multiple Model Adaptive Control: Part I - The Framework

January 2015

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30 Reads

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26 Citations

IEEE Transactions on Automatic Control

An axiomatic framework providing robust stability and performance bounds for a wide class of Estimation based Multiple Model Switched Adaptive Control (EMMSAC) algorithms is developed. The approach decouples development of both the atomic control designs and the estimation processes thus permitting the usage of standard controller design and optimisation approaches for these components. The framework is shown to give tractable algorithms for MIMO LTI plants, and also for some classes of nonlinear systems (for example, an integrator with input saturation). The gain bounds obtained have the key feature that they are functions of the complexity of the underlying uncertainty as described by metric entropy measures. For certain important geometries, such as a compact parametric uncertainties, the gain bounds are independent of the number of plant models (above a certain threshold) which are utilized in the implementation. Design processes are described for achieving a suitable sampling of the plant uncertainty set to create a finite candidate plant model set (whose size is also determined by a metric entropy measure) which achieves a guaranteed robustness/performance.


Robust Stability for Multiple Model Adaptive Control: Part II - Gain Bounds

January 2015

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9 Reads

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15 Citations

IEEE Transactions on Automatic Control

The axiomatic development of a wide class of Estimation based Multiple Model Switched Adaptive Control (EMMSAC) algorithms considered in the first part of this two part contribution forms the basis for the proof of the gain bounds given in this paper. The bounds are determined in terms of a cover of the uncertainty set, and in particular, in many instances, are independent of the number of candidate plant models under consideration.The full interpretation, implications and usage of these bounds within design synthesis are discussed in part I. Here in part II, key features of the bounds are also discussed and a simulation example is considered. It is shown that a dynamic EMMSAC design can be universal and hence non-conservative and hence outperforms static EMMSAC and other conservative designs. A wide range of possible dynamic algorithms are outlined, motivated by both performance and implementation considerations.


Sampling and Controlling Faster than the Computational Delay

May 2012

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11 Reads

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6 Citations

IET Control Theory & Applications

IET Control Theory & Applications

For a sampled-data control system, the authors propose to choose the time between samples to be shorter than the computational delay involved in computing the control signal, an approach called as intra-delay sampling. It is shown that, utilising a parallel computing architecture, this is indeed feasible and that intra-delay sampling schemes yield better performance than their slower sampling counterparts.



Robust stability and performance analysis for multiple model adaptive controllers

January 2010

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16 Reads

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7 Citations

Proceedings of the IEEE Conference on Decision and Control

For an estimation based multiple model switched adaptive control (EMMSAC) algorithm controlling a MIMO minimal LTI plant, l<sub>p</sub>, 1 ¿ p ¿ ¿ bounds on the gain from the input and output disturbances to the internal signals are obtained which are invariant to the number of models in the plant model set. For a compact uncertainty set it is shown that a realisable EMMSAC algorithm achieves robust stability for any plant within the uncertainty set.


Citations (11)


... The Kalman filter (KF) is becoming an increasingly popular tool for the estimating state information in integer-order systems (IOS) [14,15]. On the basis of the first-order Taylor expansion, the extended Kalman filter (EKF) [16][17][18] is presented under the concept of KF. ...

Reference:

State estimation for a nonlinear fractional-order system with correlated noises considering influence of initial value
The Deterministic Interpretation of the Kalman Filter
  • Citing Article
  • April 2020

International Journal of Control

... A few attempts have been made to use MMAE for applications such as estimation of position and velocity states [25], atomic force microscope control [26], control of functional electrical stimulation [20,27,28], MMAE extension to iterative learning control [29] and its application for human movement assistance [30], power electronics [31,32], fault detection and isolation for power electronics devices [33] and batteries [34], state of charge estimation for batteries [35,36,37], high speed train control [38], gas turbine control [39], and control in nuclear power plants [40]. for switching than the real world, but to illustrate the methodology and implementation before using them for a realistic example of a power electronics application in a later chapter. ...

Multiple model based fault localization for HVDC transmission systems: Robustness and real-world performance
  • Citing Conference Paper
  • May 2016

... A few attempts have been made to use MMAE for applications such as estimation of position and velocity states [25], atomic force microscope control [26], control of functional electrical stimulation [20,27,28], MMAE extension to iterative learning control [29] and its application for human movement assistance [30], power electronics [31,32], fault detection and isolation for power electronics devices [33] and batteries [34], state of charge estimation for batteries [35,36,37], high speed train control [38], gas turbine control [39], and control in nuclear power plants [40]. for switching than the real world, but to illustrate the methodology and implementation before using them for a realistic example of a power electronics application in a later chapter. ...

A multiple model approach to fault detection and localization in multi-terminal HVDC systems
  • Citing Conference Paper
  • November 2015

... We remark that the properties of the discrete time deterministic Kalman filter (in the setting of zero initial conditions) form a key part of the recent EMMSAC approach to multiple model adaptive control, see Buchstaller and French (2016a), French (2016b), Fisher-Jeffes (2003). In these approaches, uncertainties in the plant are modelled by a set of 'candidate' plant models, and controllers are selected online corresponding to the candidate plant with the lowest residual r KF( 0 ) . ...

Robust Stability for Multiple Model Adaptive Control: Part I - The Framework
  • Citing Article
  • January 2015

IEEE Transactions on Automatic Control

... The adaptive control system of the pipe blanking device is shown in Figure 2. Most of the existing devices that can realize pipe blanking and cutting functions are large-scale complete products, which need to be purchased separately, which increases the production cost of manufacturers, and the handling and installation of complete machines are also very inconvenient. Large-scale part optimization in multi-task integrated cutting stock makes the contradiction between time efficiency and material utilization ratio of the algorithm more prominent [10]. The integration of multi-source cutting information of parts in multi-task integrated cutting-off results in the complexity of cutting-off data structure and the diversity and unpredictability of changes, which puts forward higher requirements for the stability of cutting-off solution. ...

Robust Stability for Multiple Model Adaptive Control: Part II - Gain Bounds
  • Citing Article
  • January 2015

IEEE Transactions on Automatic Control

... On the other hand there is a fundamental constraint for MPC design problems: in order to implement the controller in realtime, the optimization algorithm execution time has to be smaller than the sampling time of the system. There are certain exceptions to this rule [19], which are not considered in this work. ...

Sampling and Controlling Faster Than the Computational Delay
  • Citing Conference Paper
  • August 2011

IFAC Proceedings Volumes

... Intra-delay sampling can be implemented by physically replicating the solver and/or by using data pipelining, so that computation of a new solution is started before termination of previous one. Disturbance rejection capabilities of a controller can be improved as a result of the increased sampling rate [35]. ...

Sampling and Controlling Faster than the Computational Delay
  • Citing Article
  • May 2012

IET Control Theory & Applications

IET Control Theory & Applications

... The time varying nature of the operator G has been shown in [3], [4] to be the key to establish a non-conservative gain function bound for uncertainty sets which are unbounded. In the main result in Section 4, we specialise to the case of a constant G, however, we have retained the general time varying case in what follows next for consistency with the previous results, and for future development of these results. ...

Gain Bounds for Multiple Model Switched Adaptive Control of General MIMO LTI Systems
  • Citing Conference Paper
  • January 2009

Proceedings of the IEEE Conference on Decision and Control

... The time varying nature of the operator G has been shown in [3], [4] to be the key to establish a non-conservative gain function bound for uncertainty sets which are unbounded. In the main result in Section 4, we specialise to the case of a constant G, however, we have retained the general time varying case in what follows next for consistency with the previous results, and for future development of these results. ...

Scaling of gain bounds for switched adaptive control with large uncertainties
  • Citing Conference Paper
  • January 2008

Proceedings of the IEEE Conference on Decision and Control