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Optimal Control of Maximum Output Deviations of a linear time-varying system on a Finite Horizon

AUTOMATION AND REMOTE CONTROL 2019年第10期80卷 1783-1802页

作者： Balandin, D., V Biryukov, R. S. Kogan, M. M. Lobachevsky Nizhny Novgorod State Univ Nizhnii Novgorod Russia Nizhny Novgorod State Univ Architecture & Civil E Nizhnii Novgorod Russia

The maximum output deviation of a linear time-varying system is defined as the worst-case measure of the maximum value of the output Euclidean norm over a finite horizon provided that the sum of the squared energy of an external disturbance and a quadratic form of the initial state is 1. Maximum deviation is characterized in terms of solutions to differential matrix equations or inequalities. A modified concept of the boundedness of the system on a finite horizon under an external and initial disturbances is introduced and its connection with the concept of maximum deviation is established. Necessary and sufficient conditions for the boundedness of the system on a finite horizon are obtained. It is demonstrated that optimal controllers (including the multiobjective ones that minimize the maximum deviations of several outputs) as well as controllers ensuring the boundedness of the system can be designed using linear matrix inequalities.

关键词： maximum deviation of output linear time-varying system generalized H-2-norm linear matrix inequalities

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Adaptive filter for a linear time-varying system with a high-order estimator

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IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS 2000年第4期147卷 395-402页

作者： Hidaka, K Ohmori, H Sano, A Tokyo Metropolitan Coll Aeronaut Engn Dept Elect Engn Arakawa Ku Tokyo 1160003 Japan Keio Univ Dept Syst Design Engn Kohoku Ku Yokohama Kanagawa 2238522 Japan

In the paper, a novel adaptive filter design for a linear time-varying system is proposed. The authors introduce a robust height order estimation (HOE) to which they apply the HOE for a linear time-invariant (LTI) system by using sigma-modification and show the sufficient condition for stability. Since the robust HOE can estimate the differential of any degree, <(theta)over cap>((rho))(t) from a parameter <(theta)over cap>(t) directly, the number of control parameters does not increase, and all parameter vectors <(theta)over cap>((rho))(t) can converge to an unknown vector theta((rho))(t) in the case of <(theta)over cap>(t) - theta(t) = 0. Furthermore, the proposed algorithm does not require the structure of unknown parameters. Finally, the system is compared to the conventional method by numerical simulation and the effectiveness is demonstrated.

关键词： Sufficient conditions higher-order Holographic optical components adaptive filters linear time-varying system control parameter

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Recursive principal component analysis with forgetting factor for operational modal analysis of linear time-varying system

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INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS 2016年第3-4期52卷 999-1006页

作者： Guan, Wei Wang, Cheng Chen, D. S. Luo, Xiangyu Su, F. F. HuaQiao Univ Coll Comp Sci & Technol 668 Jimei Rd Xiamen 361021 Fujian Peoples R China Xi An Jiao Tong Univ State Key Lab Strength & Vibrat Mech Struct Xian Shaanxi Peoples R China

To update the model on-line and track the changing instantaneous modal shapes and modal frequencies of slow timevarying systems under unobservable random excitation operating conditions, a novel time-domain on-line operational modal analysis (OMA) algorithm based on recursive principal component analysis (RPCA) with forgetting factor is addressed. The algorithm is to update the covariance matrix with forgetting factor, and eigenvalues and eigenvectors tokened system properties are acquired. Finally, numerical simulations with three-degree-of-freedom system with time-varying mass are used to illustrate this method.

关键词： Operational modal analysis (OMA) linear time-varying system instantaneous modal parameters recursive principal component analysis (RPCA) forgetting factor on-line

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3D object recognition with a linear time-varying system of overlay layers

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IET COMPUTER VISION 2021年第5期15卷 380-391页

作者： Nasrabadi, Mohammad Sohrabi Safabakhsh, Reza Amirkabir Univ Technol Dept Comp Engn Tehran Iran

Object recognition is a challenging task in computer vision with numerous applications. The challenge is in selecting appropriate robust features with tolerable computing costs. Feature learning attempts to solve the feature extraction problem through a learning process using various samples of the objects. This research proposes a two-stage optimization framework to identify the structure of a first-order linear non-homogeneous difference equation which is a linear time-varying system of overlay layers (LtvoL) that construct an image. The first stage consists of the determination of a finite set of impulses, called overlay layers, by the application of a genetic algorithm. The second stage defines the coefficients of the corresponding difference equation derived from L-2 regularization. Classification of the test images is possible by a novel process exclusively designed for this model. Experiments on the Washington RGB-D dataset and ETH-80 show promising results which are comparable to those of state-of-the-art methods for RGB-D-based object recognition.

关键词： test image classification image colour analysis L computer vision RGB-D-based object recognition first-order linear nonhomogeneous difference equation genetic algorithms learning (artificial intelligence) regularization object recognition linear time-varying system feature extraction problem Washington RGB-D dataset feature extraction learning process overlay layers robust features time-varying systems tolerable computing costs two-stage optimization framework difference equations feature learning

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Stability analysis of linear time-varying system via flexible polynomial-based functions

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INTERNATIONAL JOURNAL OF systemS SCIENCE 2022年第2期53卷 402-411页

作者： Tian, Yufeng Wang, Zhanshan Northeastern Univ Coll Informat Sci & Engn Shenyang 110819 Peoples R China

In the last five years, the slack matrices-based function has been widely investigated by constructing appropriate polynomials since it is an appropriate tool to derive tractable stability conditions expressed in terms of linear matrix inequalities (LMIs). However, the inherently complexitiy of slack matrices has not been considered until now, which is an open problem. In this paper, novel flexible polynomial-based functions (FPFs) are proposed by constructing flexible polynomials. Not only the inherently complex dimensions of the slack matrices but also higher-order time delays and zero components in the existing works are relaxed. Benefitting from FPFs, two representative stability criteria are, respectively, obtained for linear delay systems. According to the two stability conditions, all permutations and combinations of flexible vectors in FPFs can be freely chosen. An example is illustrated to demonstrate the effectiveness of the obtained results.

关键词： linear time-varying system stability analysis flexible polynomial-based functions flexible vectors slack matrices

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How to Improve Robust Control of a linear time-varying system by Using Experimental Data

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AUTOMATION AND REMOTE CONTROL 2024年第6期85卷 557-574页

作者： Kogan, M. M. Stepanov, A. V. Sirius Univ Sci & Technol Soci Russia Nizhny Novgorod State Univ Architecture & Civil En Nizhnii Novgorod Russia

This paper demonstrates that robust control based on only a priori information about the object's uncertainty can be significantly improved through the additional use of experimental data. Generalized H-infinity-optimal controllers are designed for an unknown linear time-varying system on a finite horizon. These controllers optimize the damping level of exogenous and/or initial disturbances as well as the maximum deviation of the terminal state of the system. The design method does not require the persistent excitation condition or the rank condition, which ensure the identifiability of the system. As a result, the amount of experimental data can be significantly reduced.

关键词： linear time-varying system uncertainty robust control generalized H-infinity norm duality persistent excitation condition linear matrix inequalities

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Stability Analysis of linear time-varying system with Sampled-data Observer 39

Stability Analysis of Linear Time-varying System with Sample...

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39th Chinese Control Conference (CCC)

作者： Chen, Ying Gao, Lixin Chen, Wenhai Wenzhou Univ Inst Intelligent Syst & Decis Wenzhou 325035 Peoples R China

ISBN: (纸本)9789881563903

This paper investigates the stability problem of linear time-varying systems with sampled-data observer. The sampled-data observer is constructed on the basis of output prediction. A sufficient condition based on sampling interval is established such that the state of observer converge to system's state. Moreover, based on theory of Yang inequality and Lyapunov method, a piecewise continuous control protocol is provided to solve the stability problem of the systems. Finally, a simulation example is provided to illustrate our established result.

关键词： Stability linear time-varying system Sampled-data observer Lyapunov method

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A New Interpretation of Adjoint Method in linear time-varying system Analysis 8

A New Interpretation of Adjoint Method in Linear Time-Varyin...

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IEEE International Conference on Cybernetics and Intelligent systems (CIS) / IEEE Conference on Robotics, Automation and Mechatronics (RAM)

作者： He, Tailong Chen, Wanchun Beihang Univ Sch Astronaut XueYuan Rd 37 Beijing Peoples R China

ISBN: (纸本)9781538631355

In this paper, the adjoint of linear time-varying (LTV) system is given in general state-space form. By using the essential relationship between LTV system and its adjoint, the "error budget", "general one run" and "special one run" interpretations of adjoint simulation are achieved in a new way. Moreover, the adjoint method in covariance analysis is presented. As an example, the performance analysis of a missile guidance system is performed by both covariance analysis and adjoint simulation, to illustrate the superiority of the adjoint simulation technique.

关键词： Adjoint Method linear time-varying system Missile Guidance

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An Improved PWCS Approach on Observability Analysis of linear time-varying system

An Improved PWCS Approach on Observability Analysis of Linea...

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21st Chinese Control and Decision Conference

作者： Kong Xingwei Guo Meifeng Dong Jingxin Tsinghua Univ State Key Lab Precis Measurement Technol & Instru Dept Precis Instruments & Mechanol Beijing 100084 Peoples R China

ISBN: (纸本)9781424427239

The piece-wise constant system (PWCS) observability analysis approach is an efficient method of analyzing the observability of linear time-varying systems. An improved approach is proposed to makes the analytical analysis simpler by eliminating redundant computation and simplifying the analysis process. Using the improved approach, the relation between the observability and the system status can be easily identified. The improved PWCS observability approach is used to analyze the strapdown inertial navigation system rapid transfer alignment model, which is a typical time-varying system. A simulation result validates the efficiency and advantage of the improved PWCS observability approach.

关键词： piece-wise constant system (PWCS) observability linear time-varying system rapid transfer alignment (RTA)

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Prediction method for closed-loop data for emulated linear time-varying system 4

Prediction method for closed-loop data for emulated linear t...

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4th IFAC Conference on Advances in Proportional-Integral-Derivate Control (PID)

作者： Kinoshita, Takuya Yamamoto, Toru Hiroshima Univ Grad Sch Adv Sci & Engn 1-4-1 Kagamiyama Higahi Hiroshima Hiroshima 7398527 Japan

In this study, data-driven control methods, namely VRFT, FRIT, and estimated response iterative tuning (ERIT), are proposed for controlled plants in linear systems. Notably, the ERIT method allows the prediction of input/output data in advance and the adjustment of feedforward controllers. A method is proposed in this study for predicting closed-loop data for an arbitrary controller with a linear and time-invariant system as the controlled plant. Copyright (c) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://***/licenses/by-nc-nd/4.0/)

关键词： Database-driven control data prediction linear time-varying system

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