A spatial domain decomposition approach to distributed H ∞ observer design of a linear unstable parabolic distributed parameter system with spatially discrete sensors

We consider a distributed parameter system of parabolic type and N controllers which can be positioned at p(p > N) different points on the system’s spatial domain. Using relaxed control theory, the best location of the controllers is determined, at ecah time t, in order to get the minimum value of a given quadratic cost functional.

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Reduced-order observer design for a distributed parameter system with spatially distributed time-delay input

2006 American Control Conference ◽

10.1109/acc.2006.1655332 ◽

2006 ◽

Author(s):

Boe-Shong Hong ◽

Tsu-Yu Lin

Keyword(s):

Time Delay ◽

Observer Design ◽

Distributed Parameter ◽

Distributed Parameter System ◽

Parameter System ◽

Reduced Order ◽

Spatially Distributed ◽

Reduced Order Observer ◽

Distributed Time Delay

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Robust control of temperature fields of casting mould as distributed parameter system

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7074514 ◽

2009 ◽

Author(s):

C. Belavy ◽

P. Bucek ◽

P. Noga ◽

G. Hulko

Keyword(s):

Robust Control ◽

Temperature Fields ◽

Distributed Parameter ◽

Distributed Parameter System ◽

Parameter System

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State estimation for a class of distributed parameter system with time-varying delay based on mobile agent networks*

2020 Chinese Automation Congress (CAC) ◽

10.1109/cac51589.2020.9327571 ◽

2020 ◽

Author(s):

Huansen Fu ◽

Baotong Cui ◽

Bo Zhuang ◽

Jianzhong Zhang

Keyword(s):

State Estimation ◽

Mobile Agent ◽

Distributed Parameter ◽

Time Varying ◽

Distributed Parameter System ◽

Parameter System ◽

Time Varying Delay ◽

Agent Networks ◽

Varying Delay

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Set point boundary control for a nonlinear distributed parameter system

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272579 ◽

2004 ◽

Author(s):

C.I. Bymes ◽

D.S. Gilliam ◽

A. Isidori ◽

V.I. Shubov

Keyword(s):

Boundary Control ◽

Distributed Parameter ◽

Distributed Parameter System ◽

Point Boundary ◽

Parameter System ◽

Set Point ◽

Nonlinear Distributed Parameter System

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Application of the Mode-Acceleration Technique to the Solution of the Moving Oscillator Problem

Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc99/vib-8319 ◽

1999 ◽

Author(s):

Alexander V. Pesterev ◽

Lawrence A. Bergman

Keyword(s):

Shear Force ◽

Series Representation ◽

Bending Moment ◽

Static Solution ◽

Distributed Parameter ◽

Distributed Parameter System ◽

Parameter System ◽

One Dimensional ◽

Acceleration Technique ◽

Moving Oscillator

Abstract The problem of calculating the dynamic response of a one-dimensional distributed parameter system excited by an oscillator traversing the system with an arbitrarily varying speed is investigated. An improved series representation for the solution is derived that takes into account the jump in the shear force at the point of the attachment of the oscillator, which makes it possible to efficiently calculate the distributed shear force and, where applicable, bending moment. The improvement is achieved through the introduction of the “quasi-static” solution, an approximation to the desired one, which makes it possible to apply to the moving oscillator problem the “mode-acceleration” technique conventionally used for acceleration of series in problems related to the steady-state vibration of distributed systems. Numerical results illustrating the efficiency of the method are presented.

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