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63rd IEEE Conference on Decision and control, CDC 2024

作者： Witczak, Marcin Pazera, Marcin Institute of Control and Computation Engineering University of Zielona Gora ul. Szafrana 2 Zielona Gora65-516 Poland

ISBN: (纸本)9798350316339

This paper addresses the challenge of combining fault estimation and fault-tolerant control for constrained non-linear systems subject to bounded external disturbances. To handle the nonlinearities, the fuzzy Takagi-Sugeno (TS) methodology is utilised. As a consequence, gains of the estimator and controller are calculated for all the vertices of the polytopic set. Specifically, the intertwined nature of control and estimation leads to mutual influence, necessitating a novel integration approach to avoid deteriorating the overall system performance. A new strategy is introduced, grounded on a critical existence condition that is both necessary and sufficient. The suggested method operates through output feedback and unfolds in two distinct phases: the off-line phase involves a straightforward optimization task utilizing the set of Linear Matrix Inequalities (LMIs), while the on-line phase tackles a deterministic model predictive control issue. © 2024 IEEE.

关键词： Predictive control systems

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Sensor Selection with Correlated Observations via Convex Relaxation 63

Sensor Selection with Correlated Observations via Convex Rel...

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63rd IEEE Conference on Decision and control, CDC 2024

作者： Ucinski, Dariusz Patan, MacIej Institute of Control and Computation Engineering University Zielona Góra ul. Szafrana 2 Zielona Góra65-516 Poland

ISBN: (纸本)9798350316339

An extremely efficient technique is developed for maximizing the parameter estimation accuracy for systems modelled by partial differential equations in the presence of correlated measurement noise. The trace of the covariance matrix of the weighted least-squares estimator is employed as the measure of the resulting estimation accuracy. This design criterion is to be minimized by choosing a set of spatiotemporal measurement locations from among a given finite set of candidate locations. To make this inherently combinatorial problem tractable, a novel relaxed convex formulation is proposed. The pivotal role here is played by the decomposition of the noise into uncorrelated and correlated components. Optimal solutions are found via simplicial decomposition which alternates between updating the design weights using a very simple multiplicative algorithm and computing a closed-form solution to a linear programming problem. The sequence of the produced iterates monotonically decreases the value of the original A-optimality design criterion. Since the resulting relaxed solution is a measure on the set of candidate measurement locations and not its specific subset, a sequential conversion to a nearly optimal subset of selected sensors is discussed. A nontrivial simulation experiment is reported to validate the proposed approach. © 2024 IEEE.

关键词： Covariance matrix

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A Multiple Actuator and Sensor Fault Estimation for Dynamic Systems 21st

A Multiple Actuator and Sensor Fault Estimation for Dynamic ...

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21st Polish control Conference, PCC 2023

作者： Pazera, Marcin Witczak, Marcin Korbicz, Jozef Institute of Control and Computation Engineering University of Zielona Gora ul. Szafrana 2 Zielona Gora65-516 Poland

ISBN: (纸本)9783031351693

The paper deals with the problem of simultaneous actuator and sensor fault estimation for linear dynamic systems on which influence unknown exogenous disturbances. The most common approach of dealing with fault estimation approach is that either actuator or sensor fault estimation schemes are provided in the literature. This paper proposes a kind of a fusion of those approaches which results with the capability of estimation of actuator and sensor faults which might appear in the system simultaneously. The novelty relies on that the unwelcome rate of change of the fault factor is vanished which simplifies the design problem. The methodology utilized in the paper to attain the robustness is the so-called Quadratic boundedness approach. In the final part of the paper, the illustrative example with the implementation to the laboratory Multi-Tank system is provided which shows the performance of the proposed approach. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

关键词： Actuators

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A Majorization-Minimization Algorithm for Optimal Sensor Location in Distributed Parameter Systems 21st

A Majorization-Minimization Algorithm for Optimal Sensor Loc...

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21st Polish control Conference, PCC 2023

作者： Ucmski, Dariusz Institute of Control and Computation Engineering University of Zielona Gora Ul. prof. Z. Szafrana 2 Zielona Gora65-516 Poland

ISBN: (纸本)9783031351693

The wide availability of effective and efficient convex optimization algorithms makes convex relaxation of optimum sensor location problems enjoy high popularity. The main drawback of this approach, however, is that the performance gap between the optimal solution of the original combinatorial problem and the heuristic solution of the corresponding relaxed continuous problem can hardly be neglected. As a countermeasure, the original design criterion is often extended by addition of some kind of sparsity-enforcing penalty term. Unfortunately, the appealing problem convexity is then lost and the question of how to control the influence of this penalty so as not to excessively deteriorate the optimal relaxed solution remains open. This is why an alternative problem formulation is proposed here, in which the sparsity-promoting term is directly minimized subject to the constraint that the efficiency of the sensor configuration with respect to the employed design criterion is no less than an arbitrarily set threshold. This brings the degree of optimality of the produced solution under direct control. An efficient majorization-minimization algorithm is then employed in combination with generalized simplicial decomposition to produce sparse relaxed solu-tions. The attendant computations boil down to solving a sequence of low-dimensional convex optimization problems, which constitutes a clear advantage of the proposed technique. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

关键词： Convex optimization

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The Fredholm Determinants Approach to the computations of Quantum Entanglement 15th

The Fredholm Determinants Approach to the Computations of...

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

作者： Gielerak, Roman Wiśniewska, Joanna Sawerwain, Marek Institute of Control and Computation Engineering University of Zielona Góra Licealna 9 Zielona Góra65-417 Poland Institute of Information Systems Faculty of Cybernetics Military University of Technology Gen. S. Kaliskiego 2 Warszaw00-908 Poland

ISBN: (纸本)9783031856990

The paper discusses several mathematical issues related to the numerical calculation of entanglement amount present in states describing bipartite quantum systems. The novel aspect of the presented material is the use of the Fredholm determinants theory methods for computing the amount of entanglement through the use of several, entropy-based entanglement measures. In particular, the continuous variable systems case [30, 31] is covered properly by the obtained here results, including presentation of a suitable renormalisation procedure of extracting the finite part of entanglement (often arises a situation in which the value of the corresponding entropy is infinite). Particular attention has been paid to the application of so-called unified entropy variants known as Rényi, resp. Tsallis entropies in the region of parameter α values in the interval (0, 1), where, in the case of infinitely dimensional systems, the infinite value of the corresponding unified entropy is very typical, even for frequently encountered quantum states. A library of functions supporting entropies and the corresponding entanglement calculations are also presented as an extension of the constructed by us EntDetector package for the Python language platform. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Quantum entanglement

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Towards integrated tracking fault-tolerant control for Takagi-Sugeno systems

Towards integrated tracking fault-tolerant control for Takag...

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IEEE Conference on Decision and control

作者： Marcin Witczak Marcin Pazera Institute of Control and Computation Engineering University of Zielona Gora ul. Szafrana 2 Zielona Gora Poland

ISBN: (数字)9798350316339

ISBN: (纸本)9798350316346

关键词： Fault tolerance Sufficient conditions System performance Fault tolerant systems Estimation Takagi-Sugeno model Trajectory Output feedback Optimization Predictive control

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Sensor Selection with Correlated Observations via Convex Relaxation

Sensor Selection with Correlated Observations via Convex Rel...

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IEEE Conference on Decision and control

作者： Dariusz Uciński Maciej Patan Institute of Control and Computation Engineering University Zielona Góra ul. Szafrana 2 Zielona Góra Poland

ISBN: (数字)9798350316339

ISBN: (纸本)9798350316346

关键词： Weight measurement Accuracy Parameter estimation Partial differential equations Noise Linear programming Mathematical models Sensors Spatiotemporal phenomena Noise measurement

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Actuator fault-tolerant iterative learning control of the magnetic brake system

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IFAC-PapersOnLine 2022年第6期55卷 266-271页

作者： Krzysztof Patan Maciej Patan Institute of Control and Computation Engineering University of Zielona Góra ul. Szafrana 2 65-419 Zielona Góra Poland

Design of fault-tolerant control for nonlinear systems is usually focused on maxi-mizing some criteria defining the level of robustness with respect to potential faults without significant degradation of the system performance. Therefore, strong interest is produced by compromise approaches which would generate decent control quality for the broadest possible class of potential faulty scenarios. Here, an approach is proposed with the application to magnetic brake system making use of the repetitive character of the control task. The concept of iterative learning control driven by measurement data is utilized to properly update the control signal in order to adapt to possible actuator fault states. A learning controller is adopted build on a mixture of neural networks for various operating points. Thus, it is able to adapt to changing working conditions of the device. Moreover, using the procedure employing an ensemble of inverse models, actuator faults can be successfully accommodated. The paper provides the complete iterative learning procedure including the system identification, fault estimation and fault-tolerant control. The numerical example on the reference tracking problem for magnetic brake system is discussed, taking into account various faulty scenarios.

关键词： Fault-tolerant control iterative learning control fault accommodation neural-network models actuators identification abrupt faults

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Estimation of Faults for Some Class of Fractional-Order Systems

Estimation of Faults for Some Class of Fractional-Order Syst...

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International Conference on Methods and Models in Automation and Robotics (MMAR)

作者： Stefan Domek Marcin Witczak Marcin Pazera Department of Automatic Control and Robotics West Pomeranian University of Technology in Szczecin ul. Sikorskiego 37 Szczecin Poland Institute of Control and Computation Engineering University of Zielona Góra ul. Szafrana 2 Zielona Góra Poland

ISBN: (数字)9798350362343

ISBN: (纸本)9798350362350

This paper presents the design of a robust estimator for simultaneous actuator and sensor faults aimed at Fault Diagnosis (FD) in a specific class of fractional-order digital systems. The proposed ${\mathcal{H}}_{\infty}$ estimator design methodology ensures a specified disturbance attenuation level and convergence, making it suitable for both fault diagnosis and fault-tolerant control applications.

关键词： Fault diagnosis Fault tolerance Actuators Digital systems Design methodology Fault tolerant systems Estimation

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The Infinite-Dimensional Quantum Entropy: The Unified Entropy Case

arXiv

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arXiv 2024年

作者： Gielerak, Roman Wiśniewska, Joanna Sawerwain, Marek Institute of Control & Computation Engineering University of Zielona Góra Licealna 9 Zielona Góra65-417 Poland Institute of Information Systems Faculty of Cybernetics Military University of Technology Gen. S. Kaliskiego 2 Warszaw00-908 Poland

By a use of the Fredholm determinant theory, the unified quantum entropy notion has been extended to a case of infinite-dimensional systems. Some of the known (in the finite-dimensional case) basic properties of the introduced unified entropies have been extended to the case study. Certain numerical approaches for computing the proposed finite and infinite-dimensional entropies are being outlined as well. Copyright © 2024, The Authors. All rights reserved.

关键词： Entropy

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