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检索条件"主题词=distributed parameter systems"

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Linear Model Predictive Control for Time Delay systems

Linear Model Predictive Control for Time Delay Systems

引用

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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Direct adaptive control of parabolic systems: algorithm synthesis, and convergence and stability analysis

Direct adaptive control of parabolic systems: algorithm synt...

引用

IEEE Conference on Decision and Control

作者： K.S. Hong J. Bentsman Department of Mechanical and Industrial Engineering University of Illinois Urbana-Champaign Urbana IL USA

This paper presents a model reference adaptive control of a class of distributed parameter systems described by linear, n-dimensional, parabolic partial differential equations. Unknown parameters appearing in the system equation are either constant or spatially-varying. distributed sensing and actuation are assumed to be available. Adaptation laws are obtained by the Lyapunov redesign method. It is shown that the concept of persistency of excitation, which guarantees the parameter error convergence to zero in finite dimensional adaptive systems, in infinite dimensional adaptive systems should be investigated in relation to time variable, spatial variable, and also boundary conditions. Unlike finite dimensional case, in infinite dimensional adaptive systems even a constant input is shown to be persistently exciting in the sense that it guarantees the convergence of parameter errors to zero. Averaging theorems for two-time scale systems which involve a finite dimensional slow system and an infinite dimensional fast system are developed. The exponential stability of the adaptive system, which is critical in finite dimensional adaptive control in terms of tolerating disturbances and unmodeled dynamics, is shown by applying averaging. A numerical example which demonstrates an averaged system, and computer simulations are provided.< >

关键词： Adaptive control Control system synthesis Adaptive systems Convergence distributed parameter systems Partial differential equations Boundary conditions Stability Programmable control Computer simulation

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Hierarchical modeling for diffusion systems: Symmetrically-networked systems with rank one interconnection

Hierarchical modeling for diffusion systems: Symmetrically-n...

引用

SICE Annual Conference

作者： Daisuke Tsubakino Shinji Hara Graduate School of Information Science and Technology University of Tokyo Tokyo Japan

In this paper, we propose a hierarchical modeling of the systems described by conservation laws. A conservation law on a hierarchically parted domain can be considered as a subsystem which interacts with neighbor elements through fluxes. Therefore, we regard the system as a networked system of each subsystem. The important idea is to weaken the interconnection in the sense of a rank. For detailed analysis of our method, we apply the proposed method to a diffusion equation. The hierarchical model is described by a non-circulant block Toeplitz matrix. Because the resulting system is symmetrically-networked system, we can show that the eigenvalues of the system consist of those of related uniform models. We also show that our method relaxes the stability condition of the fully discretized model. Finally we examine the performance of the hierarchical model by numerical simulations.

关键词： distributed parameter systems Fractals Equations Symmetric matrices Eigenvalues and eigenfunctions Control systems Information science Stability Numerical models Numerical simulation

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Exponential stabilization of vibration for a large space structure with distributed and lumped flexibility

Exponential stabilization of vibration for a large space str...

引用

IEEE Conference on Decision and Control

作者： F. Matsuno T. Ohno Department of Computational Intelligence and Systems Science Interdisciplinary Graduate School of Science and Engineering Tokyo Institute of Technology Yokohama Japan

In this paper, we consider two flexible beams connected by a spring as a simple example of the large space structures. The flexible beams and the spring can be regarded as an element of the structure with the distributed flexibility and a connective part with lumped flexibility, respectively. As we introduce Voigt type damping, the original open-loop system is exponential stable. In general the natural damping coefficient is very small, so it is necessary to construct a controller which accomplishes higher convergence rate. We propose a direct sensor output feedback controller for vibration absorption. Using the Energy Multiplier method, exponential stability of the closed-loop system is proven. We also prove that the exponential convergence rate for the closed-loop system, which means the controller performance, is larger than that of the open-loop system with the small natural damping. As we don't need an approximated finite-dimensional model at the controller design phase, the controller based on the original distributed parameter system is robust and simple.

关键词： Open loop systems Damping Springs Convergence Output feedback Vibration control Absorption Stability Control systems distributed parameter systems

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Design of optimal controllers for distributed systems using finite dimensional state observers

Design of optimal controllers for distributed systems using ...

引用

IEEE Conference on Decision and Control

作者： P. Stavroulakis P. E. Sarachik Bell Telephone Laboratories Inc. USA Polytechnic Institute of New york University USA

The problem of constructing an "observer" to enable us to implement an approximate optimal control for a distributed parameter system is examined where the state is measured at a few pre-specified points. The observer is formulated as the output of a dynamical system described by a set of ordinary differential equations. Both distributed and boundary control problems are studied and the observer-formulation is set up for both cases. Some reasonable assumptions have been made in order that the approximation introduced by the eigenfunction expansion technique be satisfactory. For the case of the boundary control problem, a simple example is solved to illustrate the method.

关键词： Optimal control distributed control Control systems Q measurement Symmetric matrices distributed parameter systems Eigenvalues and eigenfunctions Process design Output feedback State feedback

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Lyapunov-based second-order sliding mode control for a class of uncertain reaction-diffusion processes

Lyapunov-based second-order sliding mode control for a class...

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IEEE Conference on Decision and Control

作者： Yury Orlov Alessandro Pisano Stefano Scodina Elio Usai CICESE Research Center Ensenada (Mexico) Dept. of Electrical and Electronic Engineering (DIEE) University of Cagliari (Italy)

ISBN: (纸本)9781612848006

This paper addresses the design of a distributed, second-order sliding-mode based, tracking controller for a class of uncertain diffusion-reaction processes. Spatially varying uncertain parameters and mixed boundary conditions, along with the presence of an uncertain distributed disturbance, characterize the considered class of processes. The paper presents a constructive Lyapunov-based stability analysis which leads to simple tuning conditions for the controller parameters, The good performance of the proposed control systems are verified by means of computer simulations.

关键词： distributed parameter systems Reaction-Diffusion equation Second-order sliding mode control Lyapunov analysis

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L∞ - approximations of nonrational transfer function: An example

L∞ - approximations of nonrational transfer function: An ex...

引用

IEEE Conference on Decision and Control

作者： R. F. Curtain H. J. Zwart Institute of Mathematics University of Groningam Groningen Netherlands

In this paper we shall show that delay transfer functions can be well approximated by a finite dimensional system.

关键词： Delay systems Transfer functions Control systems distributed control Mathematics Polynomials distributed parameter systems Linear approximation Indium tin oxide Eigenvalues and eigenfunctions

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Sliding Mode Control of Chemical Process systems Described by Partial Differential Equations

Sliding Mode Control of Chemical Process Systems Described b...

引用

American Control Conference (ACC)

作者： Eric M. Hanczyc Ahmet Palazoglu Department of Chemical Engineering University of California Davis CA USA

This paper focuses on the application of sliding mode control theory to distributed parameter chemical process systems. For a class of partial differential equations, the method of characteristics is used to exactly transform the distributed parameter system to a finite set of ordinary differential equations, allowing for the implementation of geometric methods to extend sliding mode concepts. Through simulations the method is shown to be effective in controlling a steam heater.

关键词： Sliding mode control Chemical processes Partial differential equations Chemical engineering Control design distributed parameter systems Nonlinear equations Plugs Inductors Transforms

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Output-Feedback Adaptive Control for Parabolic PDEs with Spatially Varying Coefficients

Output-Feedback Adaptive Control for Parabolic PDEs with Spa...

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IEEE Conference on Decision and Control

作者： Andrey Smyshlyaev Miroslav Krstic Department of Mechanical and AeroSpace Engineering University of California San Diego La Jolla CA USA

ISBN: (纸本)1424401704;9781424401703

All of the existing results in adaptive control for parabolic PDEs rely on full state measurement. For the first time, we consider a problem of output feedback stabilization of distributed parameter systems with unknown reaction, advection, and diffusion parameters. Both sensing and actuation are performed at the boundary and the unknown parameters are allowed to be spatially varying. First we construct a special transformation of the original system into the PDE analog of "observer canonical form," with unknown parameters multiplying the measured output. We then use the so-called swapping method for parameter estimation. Input and output filters are implemented so that a dynamic parameterization of the problem is converted into a static parameterization where a gradient estimation algorithm is used. The control gain is computed through the numerical solution of an ordinary integro-differential equation. The results are illustrated by simulations

关键词： Adaptive control Filters Output feedback Integrodifferential equations Programmable control USA Councils distributed parameter systems parameter estimation Computational modeling Closed loop systems

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Constrained Boundary Controllability

Constrained Boundary Controllability

引用

第二十四届中国控制会议

作者： Jerzy Klamka Institute of Automation Technical University 44-100 Gliwice Poland

＜正＞ In the paper constrained approximate controllability for linear dynamical systems described by abstract differential equations with unbounded control operator is considered. Using methods of spectral analysis for linear selfadjoint operators and general constrained controllability results necessary and sufficient conditions of the constrained approximate controllability for the piecewise constant controls with values in a given cone are formulated and proved. Moreover, as illustrative examples constrained approximate boundary controllability of one dimensional distributed parameter dynamical systems described by partial differential equations of parabolic type with Dirichlet and Neumann boundary conditions are investigated. The constrained controllability conditions obtained in the paper represent an extension of the unconstrained controllability results.

关键词： Controllability Linear systems distributed parameter systems Boundary control Infinite-dimensional systems

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