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检索条件"主题词=distributed parameter systems"

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H∞ boundary control of semilinear heat processes and distributed mechanical oscillators: An LMI approach

H∞ boundary control of semilinear heat processes and distri...

引用

IEEE Conference on Decision and Control

作者： Emilia Fridman Yury Orlov School of Electrical Engineering Tel-Aviv University Tel-Aviv Israel CICESE Ensenada Mexico

ISBN: (纸本)9781424431236

Exponential stability analysis and L 2 -gain analysis are developed for uncertain distributed parameter systems. Scalar heat processes and distributed mechanical oscillators, governed by semilinear partial differential equations of parabolic and, respectively, hyperbolic types, are chosen for treatment. Sufficient exponential stability conditions with a given decay rate are derived in the form of linear matrix inequalities (LMIs) for an uncertain heat conduction equation and for an uncertain wave equation. These conditions are then utilized to synthesize H spl infin/ static output-feedback boundary controllers of the systems in question.

关键词： Control systems Partial differential equations distributed parameter systems Oscillators Stability analysis Uncertainty Symmetric matrices Temperature control Control system synthesis Hilbert space

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Output Feedback Stabilization of Towed Marine Cable

Output Feedback Stabilization of Towed Marine Cable

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OCEANS 2006 - Asia Pacific, vol.2

作者： Tu Duc Nguyen Olav Egeland Faculty of Information Technology Norwegian University of Science and Technology (NTNU) Trondheim Norway

This paper addresses the output feedback stabilization of towed marine cable. We consider a towed marine cable, attached to depth controllers at both ends. The dynamics of the cable are described by a nonlinear partial differential equation, adopted from ([7],[19]). The dynamics of the depth controllers are given by ordinary differential equations. Based on boundary measurements, exponentially stable observer is designed. Using the information from the observer and boundary measurements, exponentially stabilizing controllers are proposed. The observer and controllers depend only on boundary measurements, the costs are thus minimized and spillover instability is avoided.

关键词： Output feedback Underwater cables Power cables Damping Sensor arrays Differential equations Seismic measurements distributed parameter systems Acoustic pulses Sonar equipment

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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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Variable coefficient distributed parameters system models for structures with piezoceramic actuators and sensors

Variable coefficient distributed parameters system models fo...

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IEEE Conference on Decision and Control

作者： H.T. Banks Y. Wang D.J. Inman J.C. Slater Center for Research in Scientific Computation North Carolina State University Raleigh NC USA Department of Engineering Science and Mechanics Virginia Polytechnic Institute and State University Blacksburg VA USA Department of Mechanical & Aerospace Engineering State University of New York University at Buffalo Buffalo NY USA

The authors consider parameter estimation problems in structures with piezoceramic actuators and sensors. The problems are discussed in the context of a variational formulation of damped second order partial differential equations with unbounded input coefficients. Approximation techniques are introduced and numerical results of parameter estimation are given. Experimental data are used to test the computational results.< >

关键词： distributed parameter systems parameter estimation Piezoelectric materials Actuators Partial differential equations Testing

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Boundary Control Design and Stability Analysis of an Euler-Bernoulli Beam System with Input Backlash

Boundary Control Design and Stability Analysis of an Euler-B...

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第三十四届中国控制会议

作者： Xiuyu He Wei He Hui Qin Chang Liu Center for Robotics and School of Automation Engineering University of Electronic Science and Technology of China Department of Mathematics and Computer Science Eindhoven University of Technology

ISBN: (纸本)9781467374439

This paper investigates the vibration control of an Euler-Bernoulli Beam with nonlinear backlash input. Based on the dynamical model of the flexible beam, the boundary control law and the disturbance observer are designed to suppress the vibration of the system and reduce the effect of the backlash. The stability of the closed-loop system is proved and the uniform boundness of the states of the system is achieved. The proposed boundary control with appropriate parameters is proved to be effective by the performance of numerical simulations of the flexible beam system.

关键词： Input Backlash Flexible Beam distributed parameter systems Vibration Control

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Model reference adaptive H∞ control for flexible arms by finite dimensional controllers

Model reference adaptive H∞ control for flexible arms by fi...

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IEEE Conference on Decision and Control

作者： Yoshihiko Miyasato Department of Mathematical Analysis and Statistical Inference Institute for Statistical Mathematics Tokyo Japan

The problem of constructing model reference adaptive H ∞ control for flexible arms is considered in this manuscript. Control schemes of flexible arms are mixed parameter systems composed of distributed parameter systems of hyperbolic type (flexible arms) and lumped parameter systems (motor control systems). Owing to infinite dimensional modes of distributed parameter systems, control of those complex systems is a difficult problem. A stabilizing control signal is added to regulate the effect of infinite dimensional modes, and it is derived as a solution of certain H ∞ control problem where the effect of infinite dimensional modes are considered as external disturbances to the process.

关键词： Adaptive control Arm Control systems Programmable control distributed parameter systems Optimal control Motor drives distributed control Signal processing Signal design

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Model reduction of flexible manipulators

Model reduction of flexible manipulators

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World Congress on Intelligent Control and Automation (WCICA)

作者： Zhang Tiemin Guo Zhi Research Centre of Ultrasonic Motor Nanjing University of Aeronautics and Astronautics Nanjing China Automation Department Nanjing University of Science and Technology of PLA Nanjing China

We present a simple, efficient method for model reduction of flexible manipulators. The region in which the dominant poles are situated, the steady-state covariance value and the steady-state mean value respectively represent the transient and steady-state performances of a flexible manipulator system, and the reduced model must approximate the original system in these three respects as well as possible. We employed the proposed method to reduce the order of a flexible manipulator model such that a model-based scheme can be implemented. The method was illustrated by an example.

关键词： Reduced order systems Steady-state Torque Flexible structures Stochastic processes TV Automation Space technology distributed parameter systems Control design

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Spatial control of flexible structures - application of spatial /spl Hscr//sub /spl infin// control to a piezoelectric laminate beam

Spatial control of flexible structures - application of spat...

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American Control Conference (ACC)

作者： D. Halim S.O.R. Moheimani Department of Electrical and Computer Engineering University of Newcastle NSW Australia

This paper describes the development of a feedback controller that suppresses vibration of flexible structures. The controller is designed to minimize the spatial /spl Hscr//sub /spl infin// norm of the closed-loop system. This technique guarantees average reduction of vibration throughout the entire structure. The controller is applied to a simply-supported piezoelectric laminate beam and is validated experimentally to show the effectiveness of the proposed controller in suppressing structural vibration. It is shown that the spatial /spl Hscr//sub /spl infin// control has an advantage over the pointwise /spl Hscr//sub /spl infin// control in minimizing the vibration of the entire structure. This spatial /spl Hscr//sub /spl infin// control methodology can also be applied to more general structural vibration suppression problems.

关键词： Flexible structures Vibration control Laminates Control systems Application software Adaptive control Stability distributed parameter systems Actuators Modal analysis

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On the Optimal Control of distributed systems with Stochastic parameters and Boundary States

On the Optimal Control of Distributed Systems with Stochasti...

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American Control Conference (ACC)

作者： Yoshifumi Sunahara Shin-ichi Aihara Fumio Kojima Kyoto Institute of Technology Sakyo Kyoto Japan

The purpose of this paper is to find the optimal control for a class of distributed parameter systems modeled by a stochastic partial differential equation of parabolic type. Uncertainties existing in both system parameters and the boundary state are considered. First, existence and uniqueness properties of the solution to the state equation are discussed within the framework of the function space concept. Secondly, the optimal, control signal is derived so as to minimize the quadratic cost functional. Furthermore, mathematical properties of the control gain function determined by solving the operator differential equation are studied in detail. Finally, for the purpose of supporting the theoretical aspects developed here, an example is shown including results of digital simulation experiments.

关键词： Optimal control Stochastic systems distributed parameter systems Stochastic resonance Control systems Space technology Partial differential equations Temperature distribution Boundary conditions distributed control

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Optimal control of state-constrained parabolic systems with nonregular boundary controllers

Optimal control of state-constrained parabolic systems with ...

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IEEE Conference on Decision and Control

作者： B.S. Mordukhovich K. Zhang Department of Math Wayne State University Detroit MI USA

We study an optimal control problem of linear parabolic systems with pointwise state constraints and Dirichlet boundary controls. Our variational analysis is based on a well-posed penalization procedure. The obtained result establishes necessary optimality conditions for the original state-constrained problem by passing to the limit from approximating problems under a proper constraint qualification.

关键词： Optimal control Control systems Qualifications distributed parameter systems Equations Boundary conditions Performance analysis Cost function

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