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Maximum likelihood estimation of models with unstable dynamics and nonminimum phase noise zeros

IFAC Proceedings Volumes 1999年第2期32卷 3784-3789页

作者： Urban Forssell Håkan Hjalmarsson Division of Automatic Control Department of Electrical Engineering Linköping University S-581 83 Linköping Sweden Signal Processing Group Department of Signals Sensors and Systems Royal Institute of Technology S-100 44 Stockholm Sweden

Maximum likelihood estimation of single-input single-output linear time-invariant dynamic models requires that the model innovation (the nonmeasurable white noise source that is assumed to be the source of the randomness of the system) can be computed from the observed data. For many model structures, the prediction error and the model innovation coincide and the prediction error can be used in maximum likelihood estimation. However, when the model dynamics and the noise model have unstable poles which are not shared or when the noise dynamics have unstable zeros this is not the case. One such example is an unstable output error model. In this contribution we show that in this situation the model innovation can be computed by noncausal filtering. Different implementations of the model innovation filter are also studied.

关键词： Identification Output error identification Prediction error methods Maximum likelihood estimators Innovation Spectral factorization

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Fast-moving object counting with an event camera

TechRxiv

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TechRxiv 2022年

作者： Bialik, Kamil Kowalczyk, Marcin Blachut, Krzysztof Kryjak, Tomasz Embedded Vision Systems Group Computer Vision Laboratory Department of Automatic Control and Robotics AGH University of Science and Technology Al. Mickiewicza 30 Krakow30-059 Poland

This paper proposes the use of an event camera as a component of a vision system that enables counting of fast-moving objects – in this case, falling corn grains. These type of cameras transmit information about the change in brightness of individual pixels and are characterised by low latency, no motion blur, correct operation in different lighting conditions, as well as very low power consumption. The proposed counting algorithm processes events in real time. The operation of the solution was demonstrated on a stand consisting of a chute with a vibrating feeder, which allowed the number of grains falling to be adjusted. The objective of the control system with a PID controller was to maintain a constant average number of falling objects. The proposed solution was subjected to a series of tests to determine the correctness of the developed method operation. On their basis, the validity of using an event camera to count small, fast-moving objects and the associated wide range of potential industrial applications can be confirmed. © 2022-12-16, CC BY.

关键词： Cameras

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Design and Implementation of OLED Driving and OPD Readout Circuitry for an Optical Vibration Sensor 17

Design and Implementation of OLED Driving and OPD Readout Ci...

引用

17th IEEE SENSORS Conference, SENSORS 2018

作者： Wu, Yi-Cheng Kao, Yung-Hua Chao, Paul C.-P. Wey, Chin-Long Sauter, Thilo Eka, Fitrah P. Pandey, Rajeev Department of Electrical Engineering National Chiao Tung University Hsinchu300 Taiwan Institute of Electrical and Control Engineering National Chiao Tung University Hsinchu City Taiwan EECS International Graduate Program National Chiao Tung University Hsinchu City Taiwan Department for Integrated Sensor Systems Danube University Krems Austria Department of Electrical and Computer Engineering National Chiao Tung University Hsinchu City Taiwan

ISBN: (纸本)9781538647073

This study presents an organic light-emitting diode (OLED) drive circuit and an organic photo detector (OPD) readout circuits for a vibration sensor. Vibration sensor consist of micro-electro-mechanical systems (MEMS), which are OLED and OPD needs to be integrated for many applications in automation or consumer electronics. The light flux is generated by an OLED located on top of the structure and the modulated light flux is measured by an OPD. The OLED drive circuit contains pulse width modulation (PWM) driver to control PWM output for optimization of voltage operation is designed in order to minimize power consumption efficiency of device. The readout circuit includes a trans-impedance amplifier (TIA) to convert incident light of OPD to voltage output, a 14-bit analog-to-digital converter (ADC) to extract amplitude of vibration level, circuit to generate clock for time-to-digital converter (TDC) which detect frequency of vibration sensor. The designed circuit has been successfully fabricated by using TSMC 0.18 μm CMOS process, the chip area is 1.012 mm2. The power consumption of chip is about 6.2 mW. The measured frequency of PWM is about 200 kHz with 50% duty cycle. The frequency range of the vibration can be sensed well as about 10 Hz1.5 kHz, and resulting in high SNR at frequencies under 60 Hz. © 2018 IEEE.

关键词： Electric power utilization

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Solution of a Decision Making Problem Under Risk with Z-Information 14th

Solution of a Decision Making Problem Under Risk with Z-Info...

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14th International Conference on Applications of Fuzzy systems, Soft Computing, and Artificial Intelligence Tools, ICAFS 2020

作者： Jabbarova, Konul Huseynov, O.H. Department of Computer Engineering Azerbaijan State Oil and Industry University 20 Azadlig Ave. BakuAZ1010 Azerbaijan Research Laboratory of Intelligent Control and Decision Making Systems in Industry and Economics Azerbaijan State Oil and Industry University Baku Azerbaijan

ISBN: (纸本)9783030640576

In this paper expected utility under Z-information methodology is surveyed in order to select one of a fixed number of alternative actions in the context of risk, as many real-world solution taking problems are defined by uncertainty and partial reliability. In the final part, we will apply the Fuzzy Pareto Optimality (FPO) principle based on the comparison of Z-numbers. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

关键词： Decision making

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A Globally Asymptotically Stable Polynomial Vector Field with no Polynomial Lyapunov Function

A Globally Asymptotically Stable Polynomial Vector Field wit...

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IEEE Conference on Decision and control

作者： Amir Ali Ahmadi Miroslav Krstic Pablo A. Parrilo Laboratory for Information and Decision Systems Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology Cymer Center for Control Systems and Dynamics Department of Mechanical and Aerospace Engineering University of California at San Diego

We give a simple, explicit example of a two-dimensional polynomial vector field that is globally asymptotically stable but does not admit a polynomial Lyapunov function.

ISBN: (纸本)9781612848006

We give a simple, explicit example of a two-dimensional polynomial vector field that is globally asymptotically stable but does not admit a polynomial Lyapunov function.

关键词： Liapunov function Vector field Polynomial asymptotic

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A synthesis method for automatic handling of inter-patient variability in closed-loop anesthesia

A synthesis method for automatic handling of inter-patient v...

引用

American control Conference

作者： Kristian Soltesz Klaske van Heusden Martin Hast J. Mark Ansermino Guy A. Dumont Department of Automatic Control Lund University Sweden Department of Electrical and Computer Engineering University of British Columbia Vancouver Canada Department of Anesthesiology Pharmacology and Therapeutics University of British Columbia Vancouver Canada

ISBN: (纸本)9781467386838

This paper presents a convex-optimization-based technique to obtain PID parameters, used to control the infusion rate of the anesthetic drug propofol. controller design is based on a set of identified patient models, relating propofol infusion to an EEG-based conciousness index. The main contribution lies in the method automatically taking inter-patient variability into account, i.e., it guarantees robustness (sensitivity peak) and performance (disturbance rejection) over a set of patient models, without the need for manual intervention.

关键词： Brain models Robustness Electroencephalography Monitoring Uncertainty Linear systems Brain modeling Linear system Electroencephalography Anesthetics infusion rate Robustness Uncertainty automatic

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Privacy-Preserving Set-Based Estimation Using Partially Homomorphic Encryption

arXiv

引用

arXiv 2020年

作者： Alanwar, Amr Gaßmann, Victor He, Xingkang Said, Hazem Sandberg, Henrik Johansson, Karl Henrik Althoff, Matthias School of Computer Science and Engineering Constructor University Germany Department of Computer Engineering Technical University of Munich Germany Division of Decision and Control Systems Kth Royal Institute of Technology Sweden Department of Computer Engineering Ain Shams University Egypt

The set-based estimation has gained a lot of attention due to its ability to guarantee state enclosures for safety-critical systems. However, collecting measurements from distributed sensors often requires outsourcing the set-based operations to an aggregator node, raising many privacy concerns. To address this problem, we present set-based estimation protocols using partially homomorphic encryption that preserve the privacy of the measurements and sets bounding the estimates. We consider a linear discrete-time dynamical system with bounded modeling and measurement uncertainties. Sets are represented by zonotopes and constrained zonotopes as they can compactly represent high-dimensional sets and are closed under linear maps and Minkowski addition. By selectively encrypting parameters of the set representations, we establish the notion of encrypted sets and intersect sets in the encrypted domain, which enables guaranteed state estimation while ensuring privacy. In particular, we show that our protocols achieve computational privacy using the cryptographic notion of computational indistinguishability. We demonstrate the efficiency of our approach by localizing a real mobile quadcopter using ultra-wideband wireless devices. Copyright © 2020, The Authors. All rights reserved.

关键词： Uncertainty analysis

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Witness-functions versus interpretation-functions for secrecy in cryptographic protocols: What to choose?

arXiv

引用

arXiv 2017年

作者： Fattahi, Jaouhar Mejri, Mohamed Ziadia, Marwa Omrani, Takwa Pricop, Emil Department of Computer Science and Software Engineering Université Laval Québec Canada Computer Science and Software Engineering Department MACS Research Centre University of Gabès Tunisia Automatic Control Computers and Electronics Department Petroleum-Gas University of Ploiesti Romania

Proving that a cryptographic protocol is correct for secrecy is a hard task. One of the strongest strategies to reach this goal is to show that it is increasing, which means that the security level of every single atomic message exchanged in the protocol, safely evaluated, never deceases. Recently, two families of functions have been proposed to measure the security level of atomic messages. The first one is the family of interpretation-functions. The second is the family of witness-functions. In this paper, we show that the witness-functions are more efficient than interpretation-functions. We give a detailed analysis of an ad-hoc protocol on which the witness-functions succeed in proving its correctness for secrecy while the interpretation-functions fail to do so. Copyright © 2017, The Authors. All rights reserved.

关键词： Cryptography

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controllability and optimization for differential linear repetitive processes

Controllability and optimization for differential linear rep...

引用

IEEE Conference on Decision and control

作者： S. Dymkou E. Rogers M. Dymkov K. Galkowski D.H. Owens Lehrstuhl B fur Mathematik RWTH Aachen Germany Department of Electronics and Computer Science University of Southampton Southampton UK Institute of Mathematics National Academy of Sciences of Belarus Minsk Belarus Institute of Control and Computation Engineering University of Zielona Góra Poland Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK

Differential linear repetitive processes are a class of continuous-discrete 2D systems of both systems theoretic and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information propagation in one of the two independent directions only occurs over a finite interval. In this paper we develop an operator theory approach for the study of basic systems theoretic structural and control properties of these processes. In particular, we first develop a characterization of the range space of an operator generated by dynamics of the processes under consideration and use it to characterize a controllability property. Also we extend this operator setting to produce new results for a (again physically relevant) linear-quadratic optimization problem for these processes and the resulting optimal feedback control law.

关键词： controllability Optimal control control systems computer science Mathematics automatic control control engineering computing systems engineering and theory Character generation Feedback control

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Linear convergence of dual coordinate descent on non-polyhedral convex problems

arXiv

引用

arXiv 2019年

作者： Necoara, Ion Fercoq, Olivier Automatic Control and Systems Engineering Department University Politehnica Bucharest Bucharest060042 Romania LTCI CNRS Telecom ParisTech Universite Paris-Saclay Paris75013 France

This paper deals with constrained convex problems, where the objective function is smooth strongly convex and the feasible set is given as the intersection of a large number of closed convex (possibly non-polyhedral) sets. In order to deal efficiently with the complicated constraints we consider a dual formulation of this problem. We prove that the corresponding dual function satisfies a quadratic growth property on any sublevel set, provided that the objective function is smooth and strongly convex and the sets verify the Slater’s condition. To the best of our knowledge, this work is the first deriving a quadratic growth condition for the dual under these general assumptions. Existing works derive similar quadratic growth conditions under more conservative assumptions, e.g., the sets need to be either polyhedral or compact. Then, for finding the minimum of the dual problem, due to its special composite structure, we propose random (accelerated) coordinate descent algorithms. However, with the existing theory one can prove that such methods converge only sublinearly. Based on our new quadratic growth property derived for the dual, we now show that such methods have faster convergence, that is the dual random (accelerated) coordinate descent algorithms converge linearly. Besides providing a general dual framework for the analysis of randomized coordinate descent schemes, our results resolve an open problem in the literature related to the convergence of Dykstra algorithm on the best feasibility problem for a collection of convex sets. That is, we establish linear convergence rate for the randomized Dykstra algorithm when the convex sets satisfy the Slater’s condition and derive also a new accelerated variant for the Dykstra algorithm. Copyright © 2019, The Authors. All rights reserved.

关键词： Set theory

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