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Iterative learning identification for a class of parabolic distributed parameter systems

INTERNATIONAL JOURNAL OF systems SCIENCE 2019年第16期50卷 2918-2934页

作者： Zhou, Xingyu Wang, Haoping Dai, Xisheng Tian, Senping Nanjing Univ Sci & Technol Sch Automat Nanjing Jiangsu Peoples R China Guangxi Univ Sci & Technol Sch Elect & Informat Engn Liuzhou Peoples R China South China Univ Technol Sch Automat Sci & Engn Guangzhou Guangdong Peoples R China

This paper presents an iterative learning identification scheme for a class of parabolic distributed parameter systems with unknown curved surfaces. The identification design method is proposed on the basis of the iterative learning concept. Initially, a new nonlinear learning identification law based on vector-plot analysis is developed to estimate the curved surface with spatial-temporal varying iteratively. Subsequently, through theoretical analysis, the sufficient convergence conditions for identification error in the sense of norm is manifested. Furthermore, a high-order P-type learning law is applied to identifying the curved surface in order to compare the convergent rate with the aforesaid identification law. Finally, simulation results on a specific numerical example and the temperature profile of a catalytic rod confirm that the proposed learning identification laws is effective.

关键词： Iterative learning identification distributed parameter systems curved surface identification convergence analysis

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Quantized output feedback control for nonlinear Markovian jump distributed parameter systems with unreliable communication links

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APPLIED MATHEMATICS AND COMPUTATION 2019年 353卷 371-395页

作者： Song, Xiaona Wang, Mi Song, Shuai Wang, Zhen Henan Univ Sci & Technol Sch Informat Engn Luoyang 471023 Peoples R China Nanjing Univ Sci & Technol Sch Automat Control Nanjing 210094 Jiangsu Peoples R China Shandong Univ Sci & Technol Coll Math & Syst Sci Qingdao 266590 Peoples R China

This paper investigates robust quantized output feedback control of nonlinear Markovian jump distributed parameter systems (MJDPSs) with incomplete transition rates. Considering the digital communication channel in practical applications, the data of measured output and control input is quantized before transmission, by mode-dependent quantizer. Furthermore, a randomly occurring communication fault phenomenon is noticed in stability analysis, and is described by Bernoulli distributed white sequences. Based on Takagi-Sugeno (T-S) fuzzy model and dynamic parallel distributed compensate principle, a novel output feedback controller is developed. The conditions, to ensure that the MJDPSs are stochastically stable with mixed L-2-L-infinity/H-infinity performance, are given in terms of linear matrix inequalities (LMIs), and controller gains can be obtained by LMI toolbox. Finally, an example is provided to illustrate the effectiveness of the proposed method. (C) 2019 Elsevier Inc. All rights reserved.

关键词： distributed parameter systems Incomplete transition rates Mode-dependent quantizer Markovian jump Output feedback

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Multi-Objective Control of distributed parameter systems in the Case of Interval Uncertainty of the Plant Characteristics

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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2019年第4期55卷 317-330页

作者： Rapoport, E. Ya Pleshivtseva, Yu E. Samara State Tech Univ Ul Mologvardeiskaya 244 Samara 443100 Russia

The previously developed technology of multi-objective optimization of deterministic systems with distributed parabolic parameters can be applied in typical situations with interval uncertainties of parametric characteristics of controlled plants. Minimax problems of mathematical programming are formed in accordance with a control strategy based on the principle of the best guaranteed result of a expanded set of arguments, which includes all permissible realizations of uncertain factors, in the case of estimating a given accuracy of approximation to a required finite system state in uniform metric. These problems are solved by an alternance method that uses the Chebyshev properties of desired extermals and fundamental laws of the problem domain. This paper also presents an example of multi-objective optimization of temperature modes of induction heating of metallic semifinished products before plastic deformation operations in technological complexes for pressure treatment of metal, which is of independent interest.

关键词： muli-objective optimization distributed parameter systems optimal control minimax estimates interval uncertainty alternance method

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An LMI approach to ILC of linear distributed parameter systems with time delay 6

An LMI approach to ILC of linear distributed parameter syste...

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6th International Conference on Control, Decision and Information Technologies (CoDIT)

作者： Dai, Xisheng Wang, Su Liang, Chenghua Guangxi Univ Sci & Technol Sch Elect & Informat Engn Liuzhou 545006 Peoples R China

ISBN: (纸本)9781728105215

This paper considers the iterative learning control (ILC) problem for a class of uncertain linear distributed parameter systems with time delay. A P-type ILC scheme is presented for distributed parameter systems. Then, using a Lyapunov-like approach, we derive sufficient conditions for tracking error convergence in the sense of L-2 norm in terms of linear matrix inequalities based on rigorous analysis, which can also guarantee the monotonic convergence of the input error in some given norm. The results of numerical simulations are presented to illustrate the effectiveness of the proposed ILC approach.

关键词： Iterative learning control distributed parameter systems Time delay Convergence Linear matrix inequality

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Control of distributed parameter systems an Engineering Approach - Tutorial 22

Control of Distributed Parameter Systems an Engineering Appr...

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22nd International Conference on Process Control (PC19)

作者： Hulko, G. Belavy, C. Ondrejkovic, K. Bartalsky, L. Slovak Univ Technol Bratislava Mech Engn Fac Inst Automat Measurement & Appl Informat Nam Slobody 17 Bratislava 81231 Slovakia Zeleziarne Podbrezova Res & Dev Ctr Nam Slobody 17 Bratislava 81231 Slovakia

ISBN: (纸本)9781728137582

The basic structure of an engineering approach for the control of distributed parameter systems will be presented in the scope of this tutorial. This method is based on numerical models of technological and manufacturing processes, represented as lumped input and distributed parameter output systems. Decomposition of dynamics and control synthesis into temporal and spatial components will be introduced along with distributed parameter open loop control and feedback control loops. Moreover, the basic software support called DPS Blockset for Simulink, a third-party software product of The MathWorks Company will be demonstrated along with some results of control of secondary cooling in continuous casting of steel.

关键词： distributed parameter systems nonlinear partial differential equations lumped input and distributed parameter output systems control systems software support

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Fault Detection and Estimation for a Class of Nonlinear distributed parameter systems

Fault Detection and Estimation for a Class of Nonlinear Dist...

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IEEE International Conference on Prognostics and Health Management (ICPHM)

作者： Ferdowsi, Hasan Cai, Jia Jagannathan, Sarangapani Northern Illinois Univ Dept Elect Engn De Kalb IL 60115 USA Missouri Univ Sci & Tech Elect & Comp Engn Dept Rolla MO USA

ISBN: (纸本)9781538683576

This paper presents a new model-based fault detection and estimation framework for a class of multi-input and multi-output (MIMO) nonlinear distributed parameter systems (DPS) described by partial differential equations (PDE) with actuator and sensor faults. The fault functions cover both abrupt and incipient faults. A Luenberger type observer is used to monitor the health of the DPS as a detection observer on the basis of the nonlinear PDE representation of the system with measured output vector. By taking the difference between measured and estimated outputs from this observer, a residual signal is generated for fault detection. If the detection residual exceeds a predefined threshold, a fault will be claimed to be active. Once an actuator or a sensor fault is detected and the fault type is identified, an appropriate fault parameter update law is developed to learn the fault dynamics online with the help of an additional output measurement. Eventually, the proposed detection and estimation framework is demonstrated on a nonlinear process.

关键词： Fault detection estimation MIMO systems nonlinear systems distributed parameter systems

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Gramians Computation for Parabolic distributed parameter systems

Gramians Computation for Parabolic Distributed Parameter Sys...

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Automatics and Informatics (ICAI), International Conference

作者： Kamen Perev Technical University of Sofia Sofia Bulgaria

ISBN: (数字)9781728193083

ISBN: (纸本)9781728193090

The paper considers the problem of gramians computation for linear parabolic distributed parameters systems like the heat flow in a rod. The solution of the described partial differential equation is derived by applying the approach of time-space separation and by using the spectral method. By analogy to the finite dimensional case, it is shown that the derived solution consists of two parts. The first part is due to the initial conditions and participates in forming the observability gramian of the system. The second part is due to the system input and takes part in computing the reachability gramian. Different cases for problem definition in terms of different boundary conditions are given, showing how in such cases, the presented method can be used for gramians computation.

关键词： Mathematical model Boundary conditions Eigenvalues and eigenfunctions Laplace equations distributed parameter systems Reduced order systems Partial differential equations

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Optimal Communication Topology and Static Output Feedback of Networked Collocated Actuator/Sensor Pairs in distributed parameter systems

Optimal Communication Topology and Static Output Feedback of...

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American Control Conference

作者： Michael A. Demetriou Christoforos N. Hadjicostis Aerospace Engineering Worcester Polytechnic Institute Worcester MA USA Department of Electrical and Computer Engineering University of Cyprus Nicosia Cyprus

ISBN: (数字)9781538682661

ISBN: (纸本)9781538682678

This paper is motivated by economic aspects of fixed initial and operating costs for control of spatially distributed systems. In particular, the paper investigates the possibility of a large number of inexpensive actuating and sensing devices, as an alternative to (a reduced number of) expensive high capacity devices. While such an alternative reduces the fixed initial costs associated with actuators and sensors, it may also lead to increased operating costs resulting from communication requirements between the now-networked actuator-sensor-control units. To simplify the controller architecture, a proportional controller is assumed that amounts to a static output feedback controller. In a network of n actuator-sensor pairs, an all-to-all communication topology results in a fully populated static output feedback matrix with as much as n(n-1) communication links. In addition to a traditional performance index used to obtain the static output feedback gain matrix, this paper proposes a mixed index wherein both the traditional performance index and the number of communication links (representing operating costs associated with information exchange links), are taken into account. As an example, the proposed scheme is applied to a parabolic partial differential equation having four actuator-sensor pairs. The resulting optimization produces a sparse static gain matrix with a communication topology that has half the graph edges of the fully connected case and with essentially the same performance.

关键词： Manufacturing costs Telecommunication links static output distributed parameter systems Output feedback performance indicators Communication Research topology Differential equations information matrix Device Sensor distributed systems economic aspects feedback controller

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High-order internal model-based iterative learning control design for second-order hyperbolic distributed parameter systems

High-order internal model-based iterative learning control d...

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International Conference on Informative and Cybernetics for Computational Social systems (ICCSS)

作者： Lei Zhang Senping Tian School of Automation Science and Engineering South China University of Technology Guangzhou China

ISBN: (数字)9781728162461

ISBN: (纸本)9781665419352

Aiming at a class of linear second-order hyperbolic distributed parameter systems (DPSs), we consider a P-type iterative learning control (ILC) scheme based on high-order internal models (HOIMs) to track the iteration-varying reference trajectories, where reference trajectories in the iteration axis are generated by a HOIM formula. By virtue of contraction mapping principle, it is proved that the actual output trajectory of the system can realize the perfect tracking of the expected trajectory on L 2 space along the iteration axis. Finally, numerical simulation cases verify the validity of the designed algorithm.

关键词： Computational modeling Numerical simulation Iterative algorithms Trajectory Numerical models distributed parameter systems Iterative learning control

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Sampled-Data Observer Design for Space-Varying distributed parameter systems

Sampled-Data Observer Design for Space-Varying Distributed P...

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Chinese Control Conference (CCC)

作者： Zi-Peng Wang Huai-Ning Wu Tingwen Huang School of Electrical Engineering University of Jinan Jinan P. R. China Science and Technology on Aircraft Control Laboratory School of Automation Science and Electrical Engineering Beihang University Beijing P. R. China Science Program Texas A&M University at Qatar Doha Qatar

ISBN: (数字)9789881563903

ISBN: (纸本)9781728165233

This paper considers the sampled-data observer design problem of space-varying distributed parameter systems (DPSs). By utilizing a Lyapunov functional, a sampled-data observer design is developed by spatial linear matrix inequalities (SLMIs) to guarantee the exponential stability for the estimation error DPS. Furthermore, to solve SLMIs, the sampled-data observer design for space-varying DPSs is formulated as an LMI feasibility problem. Lastly, simulation results of a numerical example are provided to illustrate the effectiveness of the proposed method.

关键词： Observers Estimation error distributed parameter systems Electronic mail Linear matrix inequalities Electrical engineering Simulation

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