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Constrained Receding Horizon Output Estimation of Linear distributed parameter systems

IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2023年第8期68卷 5103-5110页

作者： Xie, Junyao Humaloja, Jukka-Pekka Koch, Charles Robert Dubljevic, Stevan Univ Alberta Dept Chem & Mat Engn Edmonton AB T6G 2V4 Canada Univ Alberta Dept Mech Engn Edmonton AB T6G 2V4 Canada

In this article, we address the constrained output estimation of discrete-time linear distributed parameter systems in the presence of plant and measurement disturbances. Sufficient conditions are proposed for the strong stability of the proposed moving horizon estimator. We further show that the discrete-time estimation results can be linked to continuous-time infinite-dimensional systems described by partial differential equations with unbounded disturbance and output operators by using the Cayley-Tustin transformation. The theoretical results are illustrated with numerical examples on a 1-D wave equation and a 1-D diffusion equation.

关键词： Cayley-Tustin (CT) transformation constrained receding horizon estimator distributed parameter systems infinite-dimensional systems

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Boundary Output Feedback for Fixed-time Stabilization of distributed parameter systems With Time and Space Dependent Reactivity

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INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND systems 2023年第8期21卷 2516-2528页

作者： Bao, Chunxia Cui, Baotong Wu, Wei Zhuang, Bo Inner Mongolia Minzu Univ Coll Math & Phys Tongliao 028000 Peoples R China Jiangnan Univ Sch IoT Engn Wuxi 214122 Peoples R China Binzhou Univ Sch Informat Engn Binzhou 256600 Peoples R China

The problem of boundary output feedback for fixed-time stabilization of parabolic distributed parameter systems with space and time dependent reactivity is considered by utilizing the backstepping method. An observer is constructed by applying the time-varying observer gain and boundary measurements, where the gain is unbounded as time approaches the terminal time. However, the fixed-time stability of error system is guaranteed by comparing the time growth rate of the observer gain with the decay rate of target error system state. Then, an observer-based output feedback boundary controller is established to achieve the fixed-time stabilization of the closed-loop system by combining the fixed-time stabilizing state feedback boundary controller and the fixed-time observer based on separation principle. Finally, a numerical simulation is shown to illustrate the effectiveness of the theoretical results.

关键词： Backstepping technique distributed parameter systems fixed-time stabilization Lyapunov method observer-based output feedback boundary controller

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Energy-Saving Control in distributed parameter systems with Uniform Estimates of Target Sets

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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2023年第4期59卷 436-445页

作者： Rapoport, E. Ya. Pleshivtseva, Yu. E. Levin, I. S. Samara State Tech Univ Samara 443100 Russia

We propose a method for synthesizing energy-optimal controllers in open and closed domains of space-time control actions for linear multidimensional objects with distributed parabolic parameters under the conditions of a given accuracy of uniform approximation of the final state of the system to the desired spatial distribution of the controlled variable. The approach is based on the previously developed alternance method for constructing parameterizable algorithms of optimal program control, which uses the fundamental laws of the subject area. It is shown that the desired equations of the controllers are reduced to linear feedback laws with restrictions on incomplete observation of the state of the object with nonstationary transmission coefficients, which are determined by preliminary calculation of the program control action.

关键词： distributed parameter systems energy consumption minimization program control alternance method optimal control synthesis

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Modal consensus observers for distributed parameter systems

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2022年第1期32卷 472-497页

作者： Demetriou, Michael A. Worcester Polytech Inst Aerosp Engn Dept Worcester MA 01609 USA

This article proposes a new type of a consensus protocol for the synchronization of distributed observers in systems governed by parabolic partial differential equations. Addressing the goal of sharing useful information among distributed observers, it delves into the details governing the modal decompositions of distributed parameter systems. Assuming that two different groups of sensors are available to provide process information to the two distributed observers, the proposed modal consensus design ensures that only useful information is transmitted to the requisite modal components of each of the observers. Without any consensus protocol, the observers capture different frequency content of the spatial process in differing degrees, as it relates to the concept of modal observability. Their modal components exhibit different learning behavior toward the process state. In the extreme case, it turns out that certain modal components of the distributed observers occasionally behave as naive observers. To ensure that, both collectively and modal componentwise, the observers agree both with the process state and with each other, a modal component consensus protocol is proposed. Such a consensus protocol is mono-directional and provides only useful information necessary to the appropriate modal component of the distributed filters that behaves as a naive modal observer. This protocol, when abstracted and applied to different state decompositions can be viewed as mono-directional projections of information transmitted and received by the participating distributed observers. Detailed numerical studies of advection PDE in one and two spatial dimensions are included to elucidate the details of the proposed modal consensus observers.

关键词： distributed parameter systems modal consensus modal decompositions synchronization

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Event-generator-based H∞ control of fuzzy distributed parameter systems

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FUZZY SETS AND systems 2022年 432卷 28-49页

作者： Ji, Huihui Cui, Baotong Nanjing Audit Univ Sch Stat & Math 86 West Yushan Rd Nanjing 211815 Peoples R China Jiangnan Univ Key Lab Adv Proc Control Light Ind Minist Educ Wuxi 214122 Jiangsu Peoples R China Jiangnan Univ Sch IoT Engn Wuxi 214122 Jiangsu Peoples R China

This paper studies the adaptive event-based H-infinity control problem for a class of T-S fuzzy distributed parameter system with parameter uncertain and actuator faults. To overcome the drawback of the period control scheme, an event-triggered control scheme with adaptive threshold is proposed to minimize the number of unnecessary sampled data transmission and to reduce the update frequency of the controller. Furthermore, a T-S fuzzy controller based on the adaptive event-triggered sampled data is designed to ensure the stochastic exponential stability of the distributed parameter system with H-infinity disturbance attenuation performance. Based on a new Lyapunov functional and inequality technique, the stochastic exponential stability criterion of the closed-loop system is obtained, and the controller parameters are designed. The new developed inequality can reduce the conservatism of the stability criterion. Finally, the effectiveness of the theoretical calculation results is verified by numerical simulation, and the results are compared with the relevant literature in the simulation, showing that the methods and results in this paper are less conservative. (C) 2021 Elsevier B.V. All rights reserved.

关键词： distributed parameter systems Adaptive event-triggered control H-infinity control T-S fuzzy model Actuator fault Stochastic exponential stability

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Fuzzy Intermittent Extended Dissipative Control for Delayed distributed parameter systems With Stochastic Disturbance: A Spatial Point Sampling Approach

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IEEE TRANSACTIONS ON FUZZY systems 2022年第6期30卷 1734-1749页

作者： Ding, Kui Zhu, Quanxin Hunan Normal Univ Sch Math & Stat MOE LCSM Changsha 410081 Peoples R China Nanjing Normal Univ Sch Math Sci Nanjing 210023 Peoples R China Nanjing Normal Univ Inst Finance & Stat Nanjing 210023 Peoples R China Chengdu Univ Sch Informat Sci & Engn Chengdu 610106 Peoples R China

In this article, the extended dissipative performance of distributed parameter systems (DPSs) with stochastic disturbances and multiple time-varying delays is studied by using a new fuzzy aperiodic intermittent sampled-data control strategy. Different from the previous fuzzy sampled-data control results, the state sampling of the proposed sampled-data controller occurs only in space and is intermittent rather than continuous in the time domain. By introducing a novel multitime-delay-dependent switched Lyapunov functional to explore the dynamic characteristics of the controlled system, and by means of the famous Jensen's inequality with reciprocally convex approach, Wirtinger's inequality, the criterion of the system's mean square stabilization is established based on the LMI technique, which quantitatively reveals the relationship between the control period, the control length, and the upper bound of the control sampling interval. Especially, the optimal control gain is given by designing an optimized algorithm in the article, which greatly reduces the cost. Finally, two numerical examples are presented to demonstrate the effectiveness and superiority of the proposed approach.

关键词： Actuators Control systems Delays Time-varying systems Aerospace electronics Switches distributed parameter systems distributed parameter systems (DPSs) extended dissipative performance fuzzy aperiodic intermittent sampled-data control optimization algorithm stochastic disturbances

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SSAE and GRU Based Joint Modeling for Nonlinear distributed parameter systems

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IEEE ACCESS 2022年 10卷 98501-98511页

作者： Ai, Ling Gan, Junzhe Feng, Xianjie Chen, Xueqin Harbin Univ Sci & Technol Dept Automat Harbin 150086 Peoples R China Harbin Univ Sci & Technol Dept Comp Sci & Technol Harbin 15W86 Peoples R China Harbin Inst Technol Res Ctr Satellite Technol Harbin 150040 Peoples R China

The modeling and control issues for distributed parameter systems (DPSs) have received a great deal of attention. Because linear model order reduction (MOR) methods may ignore the nonlinear dynamics and lose some details, it is difficult to describe DPS accurately by common modeling methods. To effectively model such systems, a sparse stacked auto-encoder and gated recurrent unit (SSAE-GRU) model is proposed in this paper. Under the time/space separation theory, it is the mainstream way to perform MOR and identification of time series respectively. In the SSAE-GRU model, this practice is still adhered to but joint learning is recommended. SSAE can be used as an excellent MOR technique. A sparse activation strategy that is introduced makes its model space simple and easy to train. GRU has the ability to represent such complex temporal properties because the information stored by previous neurons can be transmitted to the current moment selectively. The joint training method allows them to be responsible and consider the connection between adjacent moments and spatial energy transfer overall. Then, we use L2 regularization in back-propagation to reduce the difficulty of model optimization and prevent overfitting. The modeling scheme is simulated on two typical chemical thermal processes. This article demonstrates the effectiveness of the proposed method as well as outstanding performance compared to existing methods.

关键词： Spatiotemporal phenomena Time series analysis Principal component analysis distributed parameter systems Nonlinear dynamical systems Mathematical models Heuristic algorithms distributed parameter systems model order reduction sparse stacked auto-encoder gated recurrent unit joint learning

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Discrete output regulator design for linear distributed parameter systems

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INTERNATIONAL JOURNAL OF CONTROL 2022年第3期95卷 603-619页

作者： Xie, Junyao Koch, Charles Robert Dubljevic, Stevan Univ Alberta Dept Chem & Mat Engn Edmonton AB T6G 2V4 Canada Univ Alberta Dept Mech Engn Edmonton AB Canada

In this manuscript, we address discrete-time state and error feedback output regulator designs for a class of linear distributed parameter systems (DPS) with bounded input and output operators. By utilising the Cayley-Tustin bilinear transform, a linear infinite-dimensional discrete-time system is obtained without model spatial approximation or model order reduction. Based on the internal model principle, discrete state and error feedback regulators are designed. In particular, discrete Sylvester regulator equations are formulated, and their solvability is proved and linked to the continuous counterparts. To ensure the stability of the closed-loop system, the design of stabilising feedback gain and its dual problem of stabilising output injection gain design are provided in the discrete-time setting. Finally, three simulation examples including a first-order hyperbolic partial differential equation model and a 1-D heat equation with considerations of step-like, ramp-like and harmonic exogenous signals are shown to demonstrate the effectiveness of the proposed method.

关键词： distributed parameter systems infinite-dimensional systems discrete regulation Sylvester equations bilinear transform

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Adaptive output tracking of distributed parameter systems

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TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES 2022年第3期30卷 518-530页

作者： Altiner, Berk Dogan, Mustafa Dasdemir, Janset Yildiz Tech Univ Fac Elect & Elect Engn Dept Control & Automat Engn Istanbul Turkey Istanbul Tech Univ Fac Elect & Elect Engn Dept Control & Automat Engn Istanbul Turkey

In this paper, we consider the unknown trajectory tracking problem for stable distributed parameter systems. The main assumptions are that trajectory signals are generated by an unknown finite-dimensional exosystem that is a marginally stable system and the tracking error is available for measurement. In order to achieve perfect error regulation, a frequency estimator scheme is proposed to estimate unknown exosystem parameters, and the control law that is designed based on geometric output regulation theory is revisited. The success of the proposed method is demonstrated on a parabolic heat equation and a first-order hyperbolic partial differential equation.

关键词： Output regulation distributed parameter systems frequency estimation adaptive control

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Saturated Output Regulation of distributed parameter systems with Collocated Actuators and Sensors 22

Saturated Output Regulation of Distributed Parameter Systems...

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22nd World Congress of the International Federation of Automatic Control (IFAC)

作者： Govindaraj, Thavamani Paunonen, Lassi Humaloja, Jukka-Pekka Tampere Univ Fac Informat Technol & Commun Sci POB 692 Tampere 33101 Finland Univ Alberta 9211-116 St Edmonton AB T6G 1H9 Canada

ISBN: (纸本)9781713872344

This paper addresses the problem of output regulation of infinite-dimensional linear systems subject to input saturation. We focus on strongly stabilizable linear dissipative systems with collocated actuators and sensors. We generalize the output regulation theory for finitedimensional linear systems subject to input saturation to the class of considered infinitedimensional linear systems. The theoretic results are illustrated with an example where we consider the output regulation of a flexible satellite model that is composed of two identical flexible solar panels and a center rigid body.

关键词： distributed parameter systems output regulation input saturation strongly stabilizable systems collocated input and output

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