A Review of H∞ Robust Control of Piezoelectric Smart Structures

Abstract

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.

Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/actuator pairs

“…In recent years, spatially distributed piezoelectric sensors and actuators are advantageously employed in many practical applications involving structural modeling, identification, and active vibration or shape control of advanced high performance aerospace, automobile, ship and space structures (Sunar and Rao 1999;Saravanos and Heyliger 1999;Benjeddou 2001;Alkhatib and Golnaraghi 2003;Iorga et al 2008;Korkmaz 2011). The distributed piezoelectric sensing element that is embedded or surface-mounted onto the host elastic structure reacts to mechanical strains and generates output voltage to actively monitor the structural oscillations on account of the direct piezoelectric effects.…”

Optimal piezoelectric control of a plate subject to time-dependent boundary moments and forcing function for vibration damping

“…For this reason structures with surface bonded piezoelectric patch actuators have received considerable attention for the development of smart structures capable of damping out excessive vibrations. A review on vibration using smart material technology is given by [12].…”

Active Vibration Suppression of a Motor-Driven Piezoelectric Smart Structure Using Adaptive Fuzzy Sliding Mode Control and Repetitive Control

“…Due to their poor damping, the coupling of the entire structures, and various nonlinear effects, the rotary motions of flexible structures produce complex vibrations that can severely affect the precision of positioning. A popular and effective research approach to address this issue in recent years has been the use of piezoelectric materials as actuators and sensors in conjunction with active suppression control algorithms to create smart active suppression and control designs for structures [1][2][3].…”