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Vibration control of a flexible beam with collocated piezoelectric sensors and actuators

IFAC Proceedings Volumes 1999年第2期32卷 1130-1135页

作者： Yong Li Beijing Institute of Control Engineering Chinese Academy of Space Technology Beijing 100080 P.R. CHINA

In this paper, vibration control of a flexible cantilevered beam with collocated piezoelectric sensors and actuators is studied. A dynamic governing equation of motion for the smart cantilevered beam is derived by applying Hamilton principle. Linear feedback controls for the smart beam are presented. By using LaSall's invariant principle in infinite dimensional space and linear semigroup theory, it is shown that implementation of these controls result in vibration suppression.

关键词： Active control distributed-parameter systems mechanical systems stabilizability stabilizing controllers

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Feedforward control of a channel flow based on a discretized port-Hamiltonian model

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IFAC-PapersOnLine 2015年第13期48卷 194-199页

作者： Paul Kotyczka Antonio Blancato Institute of Automatic Control Technische Universität München 85748 Garching Germany

systems of conservation laws can be modeled (including dissipation) in an elegant, physically insightful way within the port-Hamiltonian framework. A structure-preserving discretization renders the partial differential equations ordinary ones. In this paper, we show how the structure of the lumped-parameter state representation for two conservation laws on a one-dimensional spatial domain can be exploited to easily formulate different (inverse) models. Based thereon, a simple modular procedure for feedforward controller design is developed, using known results from the dynamic inversion of nonminimum-phase systems. The example of the shallow water equations serves to illustrate the design steps and to present simulation results.

关键词： distributed-parameter systems conservation laws port-Hamiltonian systems discretization feedforward control stable dynamic inversion

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Model Predictive Control and Moving Horizon Estimation of a Large-Scale Chemical Reactor Model

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IFAC Proceedings Volumes 2013年第26期46卷 121-126页

作者： S. Rhein T. Utz K. Graichen Institute of Measurement Control and Microtechnology Albert-Einstein-Allee 41 89081 Ulm Germany

The presented contribution concerns the model predictive control (MPC) and moving horizon estimation (MHE) of a catalytic fixed-bed reactor model. Rigorous modeling for these systems leads to systems of (transport) partial differential equations. Following a so-called early lumping approach for the model predictive control and estimation yields high-dimensional systems of ordinary differential equations and therefore the need to solve large-scale dynamic optimization problems online. It is shown how a tailored gradient method and efficient numerical integration can be combined to solve the concerned optimization methods in a time-efficient way.

关键词： Model predictive control moving horizon estimation distributed-parameter systems large-scale problems

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On a practical criterion for optimal sensor configuration - application to a fixed-bed reactor

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IFAC Proceedings Volumes 1999年第2期32卷 4265-4270页

作者： A. Vande Wouwer N. Point S. Porteman M. Remy Laboratoire d'Automatique Faculté Polytechnique de Mons 31 Boulevard Dolez 7000 Mons Belgium

This paper considers the problem of sensor configuration for parameter and/or state estimation in distributed parameter systems. A practical criterion for assessing the influence of the sensor configuration is presented, which is based on a measure of independence of the sensor responses in the case of state estimation, and on a measure of independence of the sensitivity functions in the case of parameter estimation, respectively. The procedure is illustrated with the optimal placement of temperature sensors in a catalytic fixed-bed reactor.

关键词： parameter estimation state estimation nonlinear observers distributed-parameter systems

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State-Space Representation for Crone Controllers

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IFAC Proceedings Volumes 1998年第18期31卷 293-298页

作者： H.-F. Raynaud A. Zergaïnoh LIMHP - Université Paris Nord L2TI - Université Paris Nord

This article proposes an infinite-dimensitional state-space representation and a finite-dimensional approximation for fractional linear filters with transfer function C d ( s ) := C 0 ((1 + s / w b ) / (1 + s / w h )) d where 0 < w b < w h and d is a real number. This representation is derived from the Taylor expansion in zero of the function (1 - z ) d , and is made up of an infinite number of first-order ordinary differential equations. Finite-dimensional approximations obtained by truncating this representation are shown to converge towards C d in H ∞ . The use of C d in a standard linear feedback loop (CRONE control) is discussed, and closed-loop exponential and input-output stabilities are shown to be equivalent. The example of CRONE car suspension is presented, for which robustness of closed-loop resonance and step response overshoot vis-a-vis a variation in the vehicule mass is achieved. Cet article propose une représentation d'état de dimension infinie et une approximation de dimension finie des filtres linéaires fractionnaires de fonction de transfert C d ( s ) := C 0 ((1 + s / w b ) / (1 + s / w h )) d , où 0 < w b < w h et d est un nombre réel. Cette représentation est dérivée du développement de Taylor en zéro de la fonction (1 - z ) d , et est composée d'une infinité d'équations différentielles ordinaires du premier ordre. Les approximations de dimension finie obtenues par troncature de cette représentation convergent vers C d dans H ∞ . L'utilisation de C d dans une boucle linéaire de rétroaction standard (commande CRONE) est discutée, et on montre que la stabilité de la boucle fermée et la stabilité entrées-sorties sont équivalentes. L'exemple de la suspension automobile CRCNE est présenté, pour lequel on obtient la robustesse à des variations de la masse du véhicule de la résonance en boucle fermée et du dépassement de la réponse à l'échelon.

关键词： distributed-parameter systems Linear systems Robust control State-space realization

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AN ALGEBRAIC APPROACH TO THE CONTROL OF SPATIALLY distributed systems — THE 2-D systems CASE WITH A PHYSICAL APPLICATION

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IFAC Proceedings Volumes 2007年第20期40卷 196-201页

作者： P. Augusta Z. Hurák E. Rogers Institute of Information Theory and Automation Academy of Sciences Prague Czech Republic School of Electronics and Computer Science University of Southampton Southampton UK

In this paper we develop new results on control systems design for spatially distributed linear systems using an n -D systems approach. The basic ideas are explained using as an example heat conduction in a rod where the measurements and control action applied are based on an array of sensors and heaters. The first part of the analysis given shows how the process dynamics for this case can be approximately described by a 2-D transfer function, i.e. a fraction of two bivariate polynomials. This is followed by stability analysis and tests. Finally, a Youla-Kucera parametrization of all stabilizing controllers is used to develop a simple design procedure for H 2 -optimal control laws.

关键词： distributed-parameter systems spatially distributed systems multidimensional systems multivariate polynomials

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OPTIMAL OPERATION OF THIN FILM GROWTH WITH MULTISCALE PROCESS OBJECTIVES

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IFAC Proceedings Volumes 2005年第1期38卷 315-320页

作者： Amit Varshney Antonios Armaou Department of Chemical Engineering The Pennsylvania State University University Park PA-16802 USA

The issue of optimal time-varying operation for transport-reaction processes is considered, when the cost functional and/or equality constraints necessitate the consideration of phenomena that occur over disparate length scales. Multiscale process models are initially developed, linking continuum conservation laws with microscopic scale simulators. Subsequently, order reduction techniques for dissipative partial-differential equations are combined with adaptive tabulation methods for microscopic simulators to reduce the computational requirements of the optimization problem, which is then solved using standard search algorithms. The method is demonstrated on a thin film deposition process, where optimal surface temperature profiles and inlet switching times that simultaneously maximize thickness uniformity and minimize surface roughness across the film surface are computed.

关键词： optimization distributed-parameter systems order reduction process control complex systems

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Reachable sets for a 3D accidentally symmetric molecule ⁎

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IFAC-PapersOnLine 2020年第2期53卷 1943-1948页

作者： U. Boscain E. Pozzoli M. Sigalotti CNRS Sorbonne Université Inria Université de Paris Laboratoire Jacques-Louis Lions Paris France Inria & Sorbonne Université Université de Paris CNRS Laboratoire Jacques-Louis Lions Paris France

In this paper we study the controllability properties of the quantum rotational dynamics of a 3D symmetric molecule, with electric dipole moment not collinear to the symmetry axis of the molecule (that is, an accidentally symmetric-top). We control the dynamics with three orthogonally polarized electric fields. When the dipole has a nonzero component along the symmetry axis, it is known that the dynamics is approximately controllable. We focus here our attention to the case where the dipole moment and the symmetry axis are orthogonal (that is, an orthogonal accidentally symmetric-top), providing a description of the reachable sets.

关键词： Bilinear control controllability distributed-parameter systems partial differential equations quantum angular momentum reachable states Schrödinger equation

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A genetic algorithm for global constrained optimization problem

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IFAC Proceedings Volumes 1999年第2期32卷 367-372页

作者： Laurent Autrique Jean Pierre Leyris Eduardo Souza De Cursi I.M.P CNRS Université de Perpignan 52 avenue de Villeneuve 66860 Perpignan France phone: 33 4 68 66 22 39 FAX: +33 4 66 67 21 66 Institut de Mécanique de Rouen I.N.S.A de Rotten Place Emile Blondel BP 8 76131 Mont Saint Aignan Cedex France Tel: 33 32 95 97 50

For many manufacturing processes the determination of an optimal control is stated as a constrained optimization problem involving nonconvex objective functions. In practical industrial situations, nonlinear models and nonconvexity lead to hard difficulties in the modelization and the control of the process, since, on the one hand, approximations can lead to unrealistic models and, on the other hand, the classical deterministic optimization methods can be inefficient. In such a framework the emergence of evolutive strategies offers new perspectives which have to be investigated. However, these algorithms are mainly proposed for unconstrained optimisation and appropriated development must he constructed for the case where restrictions must be taken into account. In this paper, we consider evolutionnary algorithms for constrained continuous problem. Convergence results are staled and numerical behaviour of the algorithms is compared.

关键词： Genetic algorithms Process control Constraints Optimization problems distributed-parameter systems

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A Finite-Dimensional Modeling of Heat Conduction systems with State Distribution Error Bounds

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IFAC Proceedings Volumes 2004年第11期37卷 731-736页

作者： Jun Imai Yasuaki Ando Masami Konishi Dept. Electrical and Electronic Eng. Okayama University JAPAN

In this paper we present finite-dimensional modeling of heat conduction systems with frequency and space-dependent error bounds where the eigenstruc-tures of the systems are only partially known. It is shown that steady state analysis for dc input of a system is used effectively in reduced order modeling and bounding errors for the whole spatial distribution of temperature. A class of nominal models is clarified with tight additive error bounds, and the nominal models as well as the uncertainty weights are explicitly described as simple real rational form of transfer functions. The feasibility of the presented scheme is demonstrated by a simple example of heat conduction in copper rod.

关键词： distributed-parameter systems Uncertainty Modelling errors

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