Optimal placement and gains of sensors and actuators for feedback control

K. Xu; P. Warnitchai; T. Igusa

doi:10.2514/3.21292

Optimal placement and gains of sensors and actuators for feedback control

K. Xu, P. Warnitchai, T. Igusa

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

This paper presents an optimal design method for placement and gains of actuators and sensors in output feedback control systems. A quadratic performance function is minimized using nonlinear programming. The new contribution is the derivation of analytical expressions for the gradients of the performance function. These gradients are important because they can be efficiently computed and do not suffer from errors associated with finite differences. This makes the method suitable for systems with a large number of actuators. Several numerical studies are performed for a two-dimensional structure. In all cases, even with 100 optimization variables, convergence is rapid.

Original language	English (US)
Pages (from-to)	929-934
Number of pages	6
Journal	Journal of Guidance, Control, and Dynamics
Volume	17
Issue number	5
DOIs	https://doi.org/10.2514/3.21292
State	Published - Sep 1994
Externally published	Yes

ASJC Scopus subject areas

Aerospace Engineering
Applied Mathematics
Electrical and Electronic Engineering
Control and Systems Engineering
Space and Planetary Science

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10.2514/3.21292

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abstract = "This paper presents an optimal design method for placement and gains of actuators and sensors in output feedback control systems. A quadratic performance function is minimized using nonlinear programming. The new contribution is the derivation of analytical expressions for the gradients of the performance function. These gradients are important because they can be efficiently computed and do not suffer from errors associated with finite differences. This makes the method suitable for systems with a large number of actuators. Several numerical studies are performed for a two-dimensional structure. In all cases, even with 100 optimization variables, convergence is rapid.",

author = "K. Xu and P. Warnitchai and T. Igusa",

note = "Funding Information: Foundation under grant BCS-8858549 and by the Ohsaki Research Institute of Shimizu Corporation. This support is gratefully acknowledged. Funding Information: This research work was supported by the National Science",

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AU - Warnitchai, P.

AU - Igusa, T.

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PY - 1994/9

Y1 - 1994/9

N2 - This paper presents an optimal design method for placement and gains of actuators and sensors in output feedback control systems. A quadratic performance function is minimized using nonlinear programming. The new contribution is the derivation of analytical expressions for the gradients of the performance function. These gradients are important because they can be efficiently computed and do not suffer from errors associated with finite differences. This makes the method suitable for systems with a large number of actuators. Several numerical studies are performed for a two-dimensional structure. In all cases, even with 100 optimization variables, convergence is rapid.

AB - This paper presents an optimal design method for placement and gains of actuators and sensors in output feedback control systems. A quadratic performance function is minimized using nonlinear programming. The new contribution is the derivation of analytical expressions for the gradients of the performance function. These gradients are important because they can be efficiently computed and do not suffer from errors associated with finite differences. This makes the method suitable for systems with a large number of actuators. Several numerical studies are performed for a two-dimensional structure. In all cases, even with 100 optimization variables, convergence is rapid.

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Optimal placement and gains of sensors and actuators for feedback control

Abstract

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