A comparison of linear discrete-time design methods for servosystem control

Plummer, Andrew

doi:10.1243/0959651971539812

Cited by 2 publications

(2 citation statements)

References 9 publications

(13 reference statements)

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“…One major difference was that the system was trained online, which allowed the system to adapt to changes in the plant model, therefore increasing the closed-loop robustness. Plummer (1997) compares LQR and H 1 control techniques with particular reference to the output sensitivity over the frequency bandwidth of operation. As LQR is optimized in the time domain, only the average sensitivity can be maintained.…”

Section: Introductionmentioning

confidence: 99%

Reduced-order Robust Multivariable Control of a Double-beam Cantilever Structure

Scott

Manning

Levesley

2007

Journal of Intelligent Material Systems and Structures

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Vibration control of a two-dimensional smart structure is presented. The least squares identification technique and a novel pole identification method are used to obtain accurate plant models. Comparable accuracy is achieved with a significantly lower model order using the latter method. A multivariable multi—input multi—output (MIMO) generalized minimum variance control scheme is used to address robustness issues of plant mismodeling, unmodeled modes/dynamics and control signal saturation. The controllers are tested for robustness to spillover problems. Results are further supported with the use of sensitivity response functions.

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Section: Introductionmentioning

confidence: 99%

Reduced-order Robust Multivariable Control of a Double-beam Cantilever Structure

Scott

Manning

Levesley

2007

Journal of Intelligent Material Systems and Structures

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“…A paper by Plummer [12] compared the LQR and H ∞ controller techniques. By comparing sensitivity functions in the frequency domain it is explained that as the LQR control method is optimized in the time domain, only the average sensitivity in the frequency domain is minimized.…”

Section: Introductionmentioning

confidence: 99%

Robust multivariable control of a double beam cantilever smart structure

Scott

Brown

Levesley

2003

Smart Mater. Struct.

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The uncertain surrounding environment in which smart structures are employed means that a fixed reference base with which to operate sensing/actuation devices cannot be assumed. The distributed placement of piezoceramic devices has made them the most popular choice for such an application. The limited available output force makes it essential to consider the problems of control signal saturation on the robustness of resulting controllers. Much previous work has considered smart structural control in a single dimension. The current work looks at the vibration control of a two-dimensional smart structure. Actuation is applied by means of two pairs of piezoactuators capable of applying moments with a controllable phase and amplitude difference allowing a controllable ratio of bending and torsion motion. The design process of a multivariable (multi-input multi-output) generalized minimum variance control system is discussed. Application to an experimental double cantilever beam system is shown to result in robust closed-loop control. Comparisons to the benchmark of multi-loop control demonstrate numerous advantages of the multivariable system. Results are further supported with the use of sensitivity functions showing the response of the closed-loop systems to frequencies of interest, particularly the important vibrational modes.

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A comparison of linear discrete-time design methods for servosystem control

Cited by 2 publications

References 9 publications

Reduced-order Robust Multivariable Control of a Double-beam Cantilever Structure

Reduced-order Robust Multivariable Control of a Double-beam Cantilever Structure

Robust multivariable control of a double beam cantilever smart structure

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