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10th World Congress on Intelligent Control and Automation (WCICA)

作者： Fu, Qin Suzhou Univ Sci & Technol Sch Math & Phys Suzhou Jiangsu Peoples R China

ISBN: (纸本)9781467313988

The concept of finite-time stability and stabilization for distributed parameter systems is introduced by the definition of finite-time stability for linear systems. The design of state feedback controllers and dynamic output feedback controllers is given for a class of distributed parameter systems. A sufficient condition is provided by using linear matrix inequality(LMI). When the feedback control laws are applied to the systems, the closed-loop systems are finite-time stable.

关键词： distributed parameter systems finite-time stabilization feedback control linear matrix inequality(LMI)

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Fuzzy boundary compensator for a semi-linear parabolic PDE system with non-collocated boundary measurement

Fuzzy boundary compensator for a semi-linear parabolic PDE s...

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Chinese Control Conference (CCC)

作者： Jin-Feng Zhang Jun-Wei Wang School of Automation and Electrical Engineering University of Science and Technology Beijing Beijing P. R. China Institute of Artificial Intelligence University of Science and Technology Beijing Beijing P. R. China

ISBN: (数字)9789881563903

ISBN: (纸本)9781728165233

This paper discusses the problem of exponential stabilization via nonlinear feedback compensator for a semi-linear parabolic distributed parameter system with boundary control and non-collocated boundary observation. In the light of T-S fuzzy partial differential equation (PDE) model and observer-based output feedback control, a fuzzy observer-based output feedback fuzzy compensator is constructed via non-collocated boundary observation such that the resulting closed-loop system is exponentially stable. Both T-S fuzzy control technique and observer-based output feedback control technique are applied to overcome the design difficulties caused by nonlinear system dynamics and non-collocation between control and observation, respectively. By Lyapunov's direct method with a variant of vector-valued weighted Poincaré-Wirtinger inequality, a sufficient condition for the existence of the fuzzy feedback compensator is given in the form of linear matrix inequalities (LMIs). Finally, numerical simulation results are provided to support the proposed feedback control method.

关键词： Control design Observers Mathematical model Output feedback State feedback distributed parameter systems Fuzzy control

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$H∞ Fuzzy Control Design of Delayed Fourth-Order PDEs System

$H∞ Fuzzy Control Design of Delayed Fourth-Order PDEs Syste...

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Youth Academic Annual Conference of Chinese Association of Automation (YAC)

作者： Wen Kang Dai-Wei Ding School of Automation and Electrical Engineering University of Science and Technology Beijing China

We focus on H∞ fuzzy control design for nonlinear fourth-order parabolic equation with input delay. The Lyapunov method is applied to find sufficient conditions for internal exponential stability and L 2 -gain analys... 详细信息

ISBN: (数字)9781728176840

ISBN: (纸本)9781728176857

关键词： Fuzzy control Sufficient conditions Stability Delays Control theory distributed parameter systems Lyapunov methods

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A Randomly Perturbed Iterative Proper Orthogonal Decomposition (RI-POD) Technique for Filtering distributed parameter systems

A Randomly Perturbed Iterative Proper Orthogonal Decompositi...

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American Control Conference

作者： Dan Yu Suman Chakravorty Department of Aerospace Engineering Texas A&M University College Station

ISBN: (纸本)9781457710957

In this paper, we consider the filtering of distributed parameter systems (DPS), i.e., systems governed by partial differential equations (PDE). We adopt a reduced order model (ROM) based strategy to solve the problem. We propose a randomly perturbed iterative version of the snapshot proper orthogonal decomposition (POD) technique, termed RI-POD, to construct ROMs for DPS that is capable of capturing their global behaviour. Further, the technique is entirely data based, and is applicable to forced as well as unforced systems. We apply the ROM generated using the RI-POD technique to construct reduced order Kalman filters to solve the DPS filtering problem. The methodology is tested on the 1-dimensional heat equation.

关键词： Proper Orthogonal Decomposition (POD) Filtering/Data Assimilation distributed parameter systems digital power system Filtration distributed parameter systems ROM1 gene Read Only Memory Device Component Orthogonal Iterative decomposition

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Fuzzy boundary compensator for a semi-linear parabolic PDE system with non-collocated boundary measurement

Fuzzy boundary compensator for a semi-linear parabolic PDE s...

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第三十九届中国控制会议

作者： Jin-Feng Zhang Jun-Wei Wang School of Automation and Electrical Engineering University of Science and Technology Beijing Institute of Artificial Intelligence University of Science and Technology Beijing

This paper discusses the problem of exponential stabilization via nonlinear feedback compensator for a semi-linear parabolic distributed parameter system with boundary control and non-collocated boundary observation. In the light of T-S fuzzy partial differential equation（PDE） model and observer-based output feedback control, a fuzzy observer-based output feedback fuzzy compensator is constructed via non-collocated boundary observation such that the resulting closed-loop system is exponentially stable. Both T-S fuzzy control technique and observer-based output feedback control technique are applied to overcome the design difficulties caused by nonlinear system dynamics and non-collocation between control and observation,respectively. By Lyapunov’s direct method with a variant of vector-valued weighted Poincare-Wirtinger inequality, a sufficient condition for the existence of the fuzzy feedback compensator is given in the form of linear matrix inequalities（LMIs）. Finally,numerical simulation results are provided to support the proposed feedback control method.

关键词： distributed parameter systems Boundary control Lyapunov direct method Observer-based feedback control Takagi-Sugeno fuzzy model

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ILC for a Class of Linear Parabolic DPSs with Moving Boundaries

ILC for a Class of Linear Parabolic DPSs with Moving Boundar...

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Data Driven Control and Learning systems (DDCLS)

作者： Hai Zhang Xisheng Dai Muhammad Shamrooz Aslam Su Wang School of Electrical and Information Engineering Guangxi University of Science and Technology Liuzhou P. R. China

ISBN: (数字)9781728159225

ISBN: (纸本)9781728159232

This article focuses on the iterative learning control problem of a class of linear parabolic distributed parameter systems, which has the characteristic that the boundaries of the spatial domain change continuously with time. Then, the openloop P-type iterative learning method is used to study the system output tracking problem. Through rigorous theoretical analysis, some methods such as the contraction mapping approach and Bellman-Gronwall inequality are used to prove the convergence of the tracking error. Finally, the effectiveness of the algorithm is verified by numerical simulation.

关键词： distributed parameter systems Iterative learning control Convergence Process control Boundary conditions Learning systems Mathematical model

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Localization of the LQR Feedback Kernel in Spatially-Invariant Problems over Sobolev Spaces

Localization of the LQR Feedback Kernel in Spatially-Invaria...

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IEEE Conference on Decision and Control

作者： Emily Jensen Jonathan P. Epperlein Bassam Bamieh University of California Santa Barbara IBM Research Europe Dublin Ireland

ISBN: (数字)9781728174471

ISBN: (纸本)9781728174488

We consider the LQR controller design problem for spatially-invariant systems on the real line where the state space is a Sobolev space. Such problems arise when dealing with systems describing wave or beam-bending motion. We demonstrate that the optimal state feedback is a spatial convolution operator with an exponentially decaying kernel, enabling implementation with a localized architecture. We generalize analogous results for the L 2 setting and provide a rigorous explanation of numerical results previously observed in the Sobolev space setting. The main tool utilized is a transformation from a Sobolev to an L 2 space, which is constructed from a spectral factorization of the spatial frequency weighting matrix of the Sobolev norm. We show the equivalence of the two problems in terms of the solvability conditions of the LQR problem. As a case study, we analyze the wave equation; we provide analytical expressions for the dependence of the decay rate of the optimal LQR feedback convolution kernel on wave speed and the LQR cost weights.

关键词： Convolution Aerospace electronics Kernel Propagation Fourier transforms distributed parameter systems Space heating

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Stability of ODE-PDE hybrid sampled data system

Stability of ODE-PDE hybrid sampled data system

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第32届中国控制与决策会议

作者： Getnet Tewodros Jun-Min Wang Hanwen Zhang School of Mathematics and Statistics Beijing Institute of Technology

In this paper,we consider state feedback stabilization,where Dirichlet type interconnections constrain the PDE state subject to a Neumann boundary condition at the PDE-ODE *** designed a state feedback boundary controller,and by using PDE backstepping the system,through an intermediate system,is transformed to an exponentially stable PDE-ODE cascade with an invertible integral *** light of the ODE connected in series with the PDE,we perform stability analysis of hybrid sampled data PDE-ODE cascade,where the PDE is connected with an ODE through a Zero-Order-Hold（ZOH） sampler.

关键词： Backstepping stability distributed parameter systems cascade systems sample data systems

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Linear Model Predictive Control for Time Delay systems

Linear Model Predictive Control for Time Delay Systems

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American Control Conference

作者： Jukka-Pekka Humaloja Stevan Dubljevic Computing Sciences Unit Tampere University Tampere Finland Chemicals & Materials Engineering Department University of Alberta Edmonton AB Canada

ISBN: (数字)9781538682661

ISBN: (纸本)9781538682678

This paper studies linear model predictive control of real matrix-valued single delay systems. The delay system is written as an abstract inflnite-dimensional control system which is then mapped into an infinite-dimensional discrete-time control system using Cayley-Tustin discretization. A constrained model predictive control (MPC) problem is formulated for the discrete-time system where a terminal penalty function is utilized to cast the infinite-horizon optimization problem into a finite-horizon one. The proposed MPC design is demonstrated on an example of constrained stabilization of a 2 × 2 system. We will demonstrate that the proposed discrete-time MPC law not only stabilizes the discrete-time system but can be utilized in stabilizing the original continuoustime system as well, which is due to several favorable properties of the Cayley-Tustin discretization.

关键词： Delay systems Discrete-time systems Predictive control Delay effects Mathematical model Optimization distributed parameter systems

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Input-to-state stability for Lur'e stochastic distributed parameter control systems

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APPLIED MATHEMATICS LETTERS 2012年第4期25卷 706-711页

作者： Tai, Zhixin Bohai Univ Dept Automat Coll Engn Jinzhou 121013 Peoples R China

In this work, the stochastic input-to-state stability (SISS) of Lur'e distributed parameter control systems has been addressed. Using a comparison principle, delay-dependent sufficient conditions for the stochastic input-to-state stability in Hilbert spaces are established in terms of linear operator inequalities (LOIs). Finally, the stochastic wave equation illustrates our result. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Input-to-state stability distributed parameter systems Wave equation Linear operator inequalities (LOIs)

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