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15th International Conference on Parallel Processing and Applied Mathematics, PPAM 2024

作者： Abdul Rahman, Salahuddin Karabacak, Özkan Wisniewski, Rafal Automation and Control Section Department of Electronic Systems Aalborg University Aalborg Denmark Department of Mechatronics Engineering Kadir Has University Istanbul Turkey

ISBN: (纸本)9783031856990

The feedback-based algorithm for quantum optimization (FALQON) has recently been proposed to find ground states of Hamiltonians and solve quadratic unconstrained binary optimization problems. This paper efficiently generalizes FALQON to tackle quadratic constrained binary optimization (QCBO) problems. For this purpose, we introduce a new operator that encodes the problem’s solution as its ground state. Using control theory, we design a quantum control system such that the state converges to the ground state of this operator. When applied to the QCBO problem, we show that our proposed algorithm saves computational resources by reducing the depth of the quantum circuit and can perform better than FALQON. The effectiveness of our proposed algorithm is further illustrated through numerical simulations. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Constrained optimization

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Safety Analysis of Stochastic Dynamical Systems

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IFAC-PapersOnLine 2015年第27期48卷 62-67页

作者： Sloth, Christoffer Wisniewski, Rafael Section for Automation and Control Aalborg University Denmark

This paper presents a method for verifying the safety of a stochastic system. In particular, we show how to compute the largest set of initial conditions such that a given stochastic system is safe with probability p. To compute the set of initial conditions we rely on the moment method that via Haviland's theorem allows an infinite dimensional optimization problem on measures to be formulated as a polynomial optimization problem. Subsequently, the moment sequence is truncated (relaxed) to obtain a finite dimensional polynomial optimization problem. Finally, we provide an illustrative example that shows how the p-safe initial set is computed numerically. © 2015, IFAC (International Federation of Automatic control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Stochastic systems Convex optimization Dynamical systems Formal verification Method of moments Convex optimisation Finite dimensional Infinite dimensional Initial conditions Optimization problems Polynomial optimization problem Safety analysis Stochastic dynamical system

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Evaluation of Wind Farm controller based Fault Detection and Isolation

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IFAC-PapersOnLine 2015年第21期48卷 1084-1089页

作者： Odgaaard, Peter Fogh Shafiei, Seyed Eshan Section of Automation and Control Aalborg University Denmark

In the process of lowering cost of energy of power generated by wind turbines, some focus has been drawn towards fault detection and isolation and as well as fault tolerant control of wind turbines with the purpose of increasing reliability and availability of the wind turbines. Most modern wind turbine projects are organized in wind farms, in which controllers are available at wind farm level as well in the individual wind turbines. Different information are available at these levels, and the infromation is as well sampled with different sample frequencies. A benchmark model for wind farm fault detection and isolation and fault tolerant control has previously been proposed. Based on this model, and international competition on wind farm FDI was organized. The contributions were presented at the IFAC World Congress 2014. In this paper the top three contributions to this competition are shortly introduced and evaluated. © 2015

关键词： Wind turbines

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Frequency-domain generelaized singular peruturbation method for relative error model order reduction

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控制理论与应用（英文版） 2009年第1期7卷 57-62页

作者： Hamid Reza SHAKER Section for Automation and Control Institute for Electronic SystemsAalborg University

A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. The frequency domain balanced stochastic truncation method, which was proposed in [15] and [17] by the author, is based on two recently developed methods, namely frequency domain balanced truncation within a desired frequency bound and inner-outer factorization techniques. The proposed method in ttiis paper is a carry over of the frequency-domain balanced stochastic truncation and is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency and important system properties. It is shown that some important properties of the frequency domain stochastic balanced reduction technique are extended to the proposed reduction method by using the concept and properties of the reciprocal systems. Numerical results show the accuracy, simplicity and flexibility enhancement of the method.

关键词： Large-scale systems Model reduction Balanced realization Frequency-domain Grammian

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Algorithm for Bernstein Polynomial control Design

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IFAC-PapersOnLine 2018年第16期51卷 283-289页

作者： Hamadneh, Tareq Wisniewski, Rafael Section of Automation and Control Aalborg University Aalborg East9220 Denmark

This paper considers control synthesis for polynomial control systems. The developed method leans upon Lyapunov stability and Bernstein certificates of positivity. We strive to develop an algorithm that computes a polynomial control and a polynomial Lyaponov function in the simplicial Bernstein form. Subsequently, we reduce the control synthesis problem to a finite number of evaluations of a polynomial within Bernstein coefficient bounds representing controls and Lyapunov functions. As a consequence, the equilibrium is asymptotically stable with this control. © 2018

关键词： Polynomials control system synthesis Convergence of numerical methods Lyapunov functions Asymptotically stable Bernstein basis Bernstein polynomial certificates of positivity control design Lyapunov stability Polynomial control systems subdivision of simplex

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Stochastic Stability Analysis of control Systems with Uncertain Communication

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IFAC-PapersOnLine 2017年第1期50卷 6172-6177页

作者： Sloth C. Wisniewski R. Section of Automation & Control Aalborg University Denmark

This paper presents conditions for determining the stability of a networked control system. We assume that a given system is designed to be stochastically stable, when disregarding the implementation of the controller on a network. Based on the system description and an associated Lyapunov function, we provide conditions for the quality of the network under which the networked system is stable. In particular, we provide a valid inter-sampling interval, mean communication delay, and a set to which the system converges in the mean. © 2017

关键词： Communication constraints control over networks Stochastic stability

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On Practical tuning of Model Uncertainty in Wind Turbine Model Predictive control

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IFAC-PapersOnLine 2015年第30期48卷 327-332页

作者： Odgaaard, Peter Fogh Hovgaard, Tobias Gybel Section of Automation and Control Aalborg University Denmark Vestas Wind Systems A/s Denmark

Model predictive control (MPC) has in previous works been applied on wind turbines with promising results. These results apply linear MPC, i.e., linear models linearized at different operational points depending on the wind speed. The linearized models are derived from a nonlinear first principles model of a wind turbine. In this paper, we investigate the impact of this approach on the performance of a wind turbine. In particular, we focus on the most non-linear operational ranges of a wind turbine. The MPC controller is designed for, tested, and evaluated at an industrial high fidelity wind turbine simulator. We show how the linearization results in modeling errors, leading to major performance issues, which in the worst cases cause safety shutdowns of the wind turbine due to, e.g., too high rotor speeds. We propose an approach in which this problem is handled by adjusting relevant model parameters in the linearized model to fit the actual physical wind turbine behavior. We evaluate the MPC with the different model parameters, and show that, e.g., over-speed events are avoided, and a good performance of the wind turbine control is obtained. © 2015, IFAC (International Federation of Automatic control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Wind turbines Linearization Model predictive control Predictive control systems Uncertainty analysis Wind First principles models Linearization errors Linearized models Model uncertainties Performance issues Wind turbine control Wind turbine modeling Wind turbine simulator

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Evaluation of wind farm controller based fault detection and isolation 9

Evaluation of wind farm controller based fault detection and...

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9th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS 2015

作者： Odgaaard, Peter Fogh Shaflei, Seyed Eshan Section of Automation and Control Aalborg University Denmark

关键词： Wind turbines

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Safety Analysis of Stochastic Dynamical Systems

Safety Analysis of Stochastic Dynamical Systems

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作者： Sloth, Christoffer Wisniewski, Rafael Section for Automation and Control Aalborg University Denmark

关键词： Stochastic systems

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Completeness of Lyapunov abstraction 3

Completeness of Lyapunov abstraction

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3rd International Workshop on Hybrid Autonomous Systems, HAS 2013

作者： Wisniewski, Rafael Sloth, Christoffer Section of Automation and Control Aalborg University Denmark

In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction. The intersection of sub-level sets of the partitioning functions defines cells, which are regarded as discrete objects. The union of cells makes up the state space of the dynamical systems. Our construction gives rise to a combinatorial object - a timed automaton. We examine sound and complete abstractions. An abstraction is said to be sound when the flow of the time automata covers the flow lines of the dynamical systems. If the dynamics of the dynamical system and the time automaton are equivalent, the abstraction is complete. The commonly accepted paradigm for partitioning functions is that they ought to be transversal to the studied vector field. We show that there is no complete partitioning with transversal functions, even for particular dynamical systems whose critical sets are isolated critical points. Therefore, we allow the directional derivative along the vector field to be non-positive in this work. This considerably complicates the abstraction technique. For understanding dynamical systems, it is vital to study stable and unstable manifolds and their intersections. These objects appear naturally in this work. Indeed, we show that for an abstraction to be complete, the set of critical points of an abstraction function shall contain either the stable or unstable manifold of the dynamical system. © R. Wisniewski & C. Sloth.

关键词： Dynamical systems

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