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An adaptive approach to control of distributed parameter systems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
A method is presented for augmenting a finite dimensional linear quadratic Gaussian (LQG) controller for a distributed parameter system with an adaptive output feedback element. The theory is discussed for a problem concerning control of vibrations in a nonlinear structure with bounded disturbance.
Belinda Batten King, Naira Hovakimyan
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Sliding mode control of distributed parameter systems

Automatica, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kam-Chi Li, Tin-Pui Leung, Yue-Ming Hu
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Approximate optimal control of distributed parameter systems.

AIAA Journal, 1972
An approximation technique for determining the optimal control of distributed parameter systems is developed. Treated explicitly, to illustrate the basic algorithm, are systems with a single state variable and control variables which appear linearly. The system partial differential equation may be nonlinear.
Betts, John T., Citron, Stephen J.
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Control-Oriented Modeling of Distributed Parameter Systems

Journal of Dynamic Systems, Measurement, and Control, 1992
In this paper the use of linear, time-invariant, distributed parameter systems (LTI-DPS) as models of physical processes is considered from a control viewpoint. Specifically, recent theoretical results obtained by the authors for the control-oriented modeling of LTI-DPS are concisely reviewed and then a series of applications is given in order to ...
Helmicki, A. J.   +2 more
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Distributed control for distributed linear parameter varying systems

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
Considers stability analysis and performance control for distributed systems with time and spatial varying parameters. The distributed linear parameter-varying (LPV) system depends on the parameters in linear fractional transformation form. The parameters are assumed measurable in real-time for controller use.
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Constrained controllability of linear distributed parameter system

Proceedings of the 2003 American Control Conference, 2003., 2004
In the paper constrained controllability of distributed parameter dynamical system defined in infinite-dimensional domain is considered. Using spectral theory of unbounded differential operators, necessary and sufficient conditions constrained controllability are formulated and proved.
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Modeling and control of ACTEX distributed parameter system

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
We formulate a partial differential equation model for the ACTEX (advanced controls technology experiment) structure. The model takes the form of six one-dimensional Euler-Bernouilli beam equations. Two equations are used for each beam to model the transverse deformations in the local coordinates. Our model includes the passive and active contributions
T. Khan, B. Yang, C. Wang
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Control of distributed parameter systems: localisation method

IEE Proceedings D Control Theory and Applications, 1992
Summary: The problem of forming desired transients for systems which are governed by partial differential equations is discussed. It is assumed that information about external disturbances is incomplete and that there are finite-dimensional controls. The design method called the localization method is used.
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On the Control of Discrete-Time Distributed Parameter Systems

SIAM Journal on Control, 1972
A system described by a difference equation with a semigroup of operators is considered. The existence and uniqueness of an optimal control for the minimization of a quadratic cost functional over a finite interval is proved. The necessary condition for optimal control is derived and the optimal control is given by a linear state feedback law.
Lee, Kwang Yun   +2 more
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Control of distributed parameter systems

1982
Much of control theory is concerned with systems which are modelled by ordinary differential equations, so-called lumped parameter systems. In this chapter it is shown how the concepts of controllability, observability, optimal control and estimation may be investigated for system models based upon partial differential equations, so-called distributed ...
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