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检索条件"主题词=distributed parameter systems"

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On-line monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems

On-line monitoring and accommodation of nonlinear actuator f...

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IEEE Conference on Decision and Control

作者： M.A. Demetriou K. Ito R.C. Smith Department of Mechanical Engineering Worcester Polytechnic Institute Worcester MA USA Department of Mathematics North Carolina State University Raleigh NC USA

We consider a class of positive real infinite dimensional systems which are subjected to incipient actuator faults. The actuator fault is modelled as a time varying transition from an initial (linear or even hysteretic) map into a(another) hysteretic map at the onset of the fault occurrence. An infinite dimensional adaptive detection observer is utilized to generate a residual signal in order to detect the fault occurrence and to assist in the fault accommodation. This is done via an automated control reconfiguration which utilizes information on the new hysteretic map and adjusts the controller via a static right inverse of the new actuator map. A robust modification is utilized in order to avoid false alarms caused by unmodelled dynamics. An example is included to illustrate the applicability of the proposed detection scheme.

关键词： Fault detection Hysteresis Hydraulic actuators Adaptive signal detection Automatic control Robustness Condition monitoring Indium tin oxide distributed parameter systems Signal generators

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Domain decomposition methods in the distributed estimation of spatially distributed processes with mobile sensors

Domain decomposition methods in the distributed estimation o...

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American Control Conference

作者： Michael A. Demetriou Worcester Polytechnic Institute Dept of Mechanical Engineering MA 01609 USA

ISBN: (纸本)9781467386838

This paper considers the state estimation of spatially distributed processes via the employment of mobile sensors. In order to reduce the computational demands, a domain decomposition method is utilized and which decomposes the spatial domain into two subdomains. The estimator in the inner domain implements a hybrid Kalman filter with a mobile sensor, whereas the outer subdomain implements a naive observer. Coupling conditions at the inner/outer boundary serve as a means to exchange information between the two estimators and which constitute a consensus protocol. The motion of the mobile sensor is based on a spatial gradient scheme and serves as a further means of reducing the computational load associated with the solution to large scale differential Riccati equations. The proposed scheme is further extended to collaborative distributed estimation in which multiple mobile sensors are enforcing another level of consensus protocol in order to penalize the differences between their state estimates. Extensive numerical simulations of a one-dimensional parabolic partial differential equation are presented to further demonstrate the multi-level computational savings associated with the use of domain decomposition in state estimation of spatially distributed processes with mobile sensors.

关键词： distributed state estimation distributed parameter systems scientific computing mobile sensors distributed processing State estimation distributed parameter systems Scientific computing Mobile Sensors decomposition Domain

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On necessary and sufficient conditions for stability for n-input n-output convolution feedback systems with a finite number of unstable poles

On necessary and sufficient conditions for stability for n-i...

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IEEE Conference on Decision and Control

作者： Frank M. Callier Charles A. Desoer Belgian National Fund for Scientific Research Belgium Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory University of California Berkeley CA USA

We consider n-input n-output convolution feedback systems characterized by y = G * e and e = u - y, where the open-loop transfer function ĝ contains a finite number of unstable poles and the expansion ĝa(s) + ∑i=0 ĝ Gi exp(-sti). The latter is such that, i) ĝa is the Laplace transform of L1 functions, ii) t0 = 0, iii) the delay-times ti, for i = 1, 2, ..., are positive and iv) the coefficient matrices Gi form an absolutely convergent series, i.e. ∑i=0 ĝ |Gi| < ∞. Thus the subsystem represented by G is an open-loop unstable distributed parameter system. One theorem is obtained. It gives necessary and sufficient conditions for stability. A basic device is the following: the sum of the principal parts of the Laurent expansions of ĝ at the unstable poles is factored as a ratio of two right coprime polynomial matrices. There are two necessary and sufficient conditions, the first is the usual infimum one, i.e. infRe s ĝ 0 |det[I+ ĝ(s)]| > 0, and the second is required to prevent the closed-loop transfer function from being unbounded in some small neighborhood of each open-loop unstable pole. The latter condition has a nice interpretation in terms of McMillan degree theory. The modification of the theorem for the discrete-time case is immediate. The same is true if, instead of unity feedback, constant nonunity feedback represented by a nonsingular matrix is used. This allows us, through the use of the small gain theorem or the contraction mapping theorem, to consider non-linear systems, derived from the original one by introducing a non-linear time-varying gain in the forward loop.

关键词： Sufficient conditions Stability Convolution Feedback Transfer functions Laplace equations Delay distributed parameter systems Polynomials Time varying systems

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Positive Stabilization of Infinite-dimensional Linear systems

Positive Stabilization of Infinite-dimensional Linear System...

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2010 49th IEEE Conference on Decision and Control

作者： B. Abouzaid J.J. Winkin V. Wertz CESAME Universite Catholique de Louvain 4 - 6 avenue G.Lemaitre B-1348 Louvain-la-Neuve Belgium Namur Center for Complex Systems (NAXYS) and Department of Mathematics University of Namur (FUNDP) 8 Rempart de la vierge B-5000 Namur Belgium

ISBN: (纸本)9781424477456

The main goal of this paper is to give a short tutorial on the positivity and the positive stabilization of infinite dimensional linear systems together with some new points of view and perspectives. Algebraic conditions of positivity for dynamical systems defined on an ordered Banach space whose positive cone has an empty interior are derived. The positive stabilization problem for linear infinite-dimensional systems is also addressed. Sufficient conditions are established to stabilize positively a class of distributed parameter systems, such that the closed loop system is stable and positive.

关键词： Banach space Linear system distributed parameter systems Closed loop systems Positive DYNAMICAL systems Sufficient conditions Multidimensional systems Attitude

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Design of decentralized local controllers of spatially distributed systems by approximation of feedback kernels

Design of decentralized local controllers of spatially distr...

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American Control Conference

作者： Michael A. Demetriou Worcester Polytechnic Institute Dept of Mechanical Engineering MA 01609 USA

ISBN: (纸本)9781467386838

This paper considers the problem of decentralized controllers for spatially distributed systems. The spatially distributed systems are assumed to have a network of control units and the decentralized design is solved by approximation of the feedback kernels. By first obtaining the full state feedback controllers corresponding to the centralized design, the individual feedback operators are numerically approximated by the product of static feedback gains with spatial delta functions representing the spatial distribution of the sensing devices. The resulting kernel approximation produces both the interconnection topology between the control units and their interconnection strengths. Since the feedback kernels are themselves based on quadratic control costs, then the kernel approximation method results in a suboptimal controller design with a significantly improved communication costs that reduces the information exchange between the control units. As a special case of a SISO system, the kernel approximation can also provide an optimal sensor location with respect to the energy of the resulting closed loop system. Extensive numerical studies for a diffusion partial differential equation (PDE) in one spatial dimension having four collocated actuator/sensor pairs along with the joint sensor and static gain optimization of a SISO diffusion PDE are included.

关键词： kernel approximation distributed parameter systems distributed local controllers networked systems control unit distributed parameter systems distributed systems Seeds approximation Decentralized Kernel Feedback local controller single input single output systems information exchange static feedback DELTA FUNCTIONS state feedback controller

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Robust actuator placement in flexible plates subject to worst-case spatial distribution of disturbances

Robust actuator placement in flexible plates subject to wors...

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American Control Conference (ACC)

作者： M.A. Demetriou T. Moghani Department of Mechanical Engineering Worcester Polytechnic Institute Worcester MA USA

In this study, we consider the problem of actuator placement in the vibration control of flexible plates. Unlike earlier approaches based on enhanced controllability and/or improved performance measures, we consider the case of actuator placement based on robustness-with-respect to spatial variability of disturbances. As predicted from our extensive numerical investigation, when the spatial distribution of disturbances is known, then the resulting optimal location differs from the one predicted from controllability/LQR approaches. When the distribution is not known, then one may introduce an element of spatial robustness by considering the worst-case spatial distribution. Extensive numerical results are reported here which provide an insight on the judicious actuator placement when spatial distributions of disturbances are taken into consideration for actuator placement and controller design.

关键词： Robustness Actuators Controllability Robust control Optimal control Piezoelectric materials Mathematical model Vibration control distributed parameter systems Flexible structures

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Sliding mode control of a heat equation with application to arc welding

Sliding mode control of a heat equation with application to ...

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IEEE Conference on Control Technology and Applications (CCTA)

作者： S. Drakunov E. Barbieri D.A. Silver Department of Electrical Engineering and Computer Science Tulane University New Orleans USA

This paper considers the use of sliding mode control to perform robotic welding. The arc welding model is considered as a distributed parameter system described by partial differential equations with unknown boundary ... 详细信息

关键词： Sliding mode control Equations Welding Control systems Uncertainty Nonlinear control systems Application software distributed parameter systems Boundary conditions Control design

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The linear quadratic optimal control problem for infinite dimensional systems over an infinite horizon: Survey and examples

The linear quadratic optimal control problem for infinite di...

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IEEE Conference on Decision and Control

作者： A. Bensoussan M. C. Delfour S. K. Mitter Domaine de Voluceau IRIA France Centre de Recherches Mathématiques Université de Montreal Montreal Canada Department of Electrical Engineering Massachusetts Institute of Technology Cambridge MA USA

Survey of currently available theory for systems the evolution of which can be described by semigroups of operators of class CO. Connection between the concepts of stabilizability and detectability and the problem of ... 详细信息

关键词： Optimal control Infinite horizon Riccati equations Control systems Differential equations distributed parameter systems Hilbert space Kalman filters Costs Feedback

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Atomic Force Microscopy Sensing Using Multiple Modes

Atomic Force Microscopy Sensing Using Multiple Modes

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2006 IEEE/RSJ International Conference on Intelligent Robots and systems

作者： Jiangbo Zhang Ning Xi Guangyong Li Chanmin Su Department of Electrical and Computer Engineering Michigan State University East Lansing MI USA Veeco Instruments Santa Barbara CA USA

An atomic force microscope (AFM) explores the topography of a sample surface using a micro-sized flexible cantilever, which works as a flexible robot arm. The flexible cantilever is controlled to keep vibrating when an AFM works in the tapping mode. The cantilever is modeled as a flexible beam instead of a point mass system in this paper. The nonlinear interaction force between the tip and sample surface is also modeled. A simulation environment is developed to analyze the dynamics of cantilevers using the flexible beam model. Simulation results confirm that the flexible beam model can represent the system more accurately than the point-mass model. It has been shown that lower modes are more sensitive to changes of surface topography or surface materials when the cantilever is driven to vibrate at a higher harmonic mode. At the same time, this simulation environment also provides a more accurate way to validate the design of a new AFM probe and AFM controller than simulation packages which use the point-mass model

关键词： Atomic force microscopy Surface topography Structural beams Probes Intelligent robots Resonant frequency distributed parameter systems Manipulators Force measurement Instruments

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Flatness-based disturbance decoupling for heat and mass transfer processes with distributed control

Flatness-based disturbance decoupling for heat and mass tran...

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IEEE International Conference on Computer-Aided Design

作者： Alexander Kharitonov Oliver Sawodny Institute for System Dynamics University of Stuttgart Stuttgart Germany

This paper deals with the control of heat and mass transfer processes. The mathematical model of a process is presented by a distributed parameter system described by inhomogeneous parabolic partial differential equations in one-dimensional space. The control input is represented by a source function, while the boundary inputs correspond to disturbances in the system of interest. The flatness of these systems is studied. In contrast to the systems with boundary control, the flat output for such systems does not coincide with the control output and cannot be uniquely defined. A part of the dynamic relations describes the influence of the boundary inputs, i. e. disturbances, on the control output. In the paper the approach for the decoupling of the control output from the disturbances on the bounds is proposed. The approach is based on the examination of the inverse dynamics of the system and the design of the observer for the state variables reproducing the influence of the disturbance. Some numerical simulations are included and demonstrate the efficiency of the proposed approach

关键词： Heat transfer distributed control Control systems Temperature control Mathematical model Weight control distributed parameter systems Partial differential equations Numerical simulation Actuators

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