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Review Articles

A Review of H Robust Control of Piezoelectric Smart Structures

[+] Author and Article Information
Lucian Iorga

Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854

Haim Baruh

Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854

Ioan Ursu

 “Elie Carafoli” National Institute for Aerospace Research, Bucharest 061126, Romania

Appl. Mech. Rev 61(4), 040802 (Jul 03, 2008) (15 pages) doi:10.1115/1.2939371 History: Published July 03, 2008

Robust vibration control of piezoelectric actuated smart structures has attracted substantial interest in recent years. Such control laws are desirable for systems where guaranteed stability or performance is required despite the presence of multiple sources of uncertainty. In this work, we review the principal problems that the structural control engineer has to address when designing robust control laws: structural modeling techniques, uncertainty modeling, controller order reduction, and robustness validation. A comprehensive literature review is presented and the different techniques employed are discussed in detail in a tutorial manner for the case of a piezoelectric smart plate, with the aim of providing a comprehensive and unitary methodology for designing and validating robust H controllers for active structures.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Smart piezoelectric plate under exogenous disturbance

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Figure 2

Sensor placement geometry

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Figure 3

Open-loop uncertain plant

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Figure 4

Typical closed-loop system (a) and uncertain closed-loop systems (b)

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Figure 5

Effect of computational overhead

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Figure 6

Uncertainty D scaling

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Figure 7

Additive uncertainty weighting

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Figure 8

Mode 1 frequency response: open loop (–⋅), full-order controller (continuous), reduced-order controller (--)

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Figure 9

Mode 2 frequency response: open loop (–⋅), full-order controller (continuous), reduced-order controller (--)

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Figure 10

Uncertain system frequency response: nominal system (—) and system with ten random uncertainty sets (--)

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Figure 11

Structured singular value: full-order controller

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Figure 12

Structured singular value: reduced-order controller

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