KEYWORDS: Actuators, Ferroelectric materials, System identification, Control systems, Sensors, Linear filtering, Control systems design, Filtering (signal processing), Matrices, Electronic filtering
This paper presents the development and application of an H∞ fault detection and isolation (FDI) filter and
fault tolerant controller (FTC) for smart structures. A linear matrix inequality (LMI) formulation is obtained
to design the full order robust H∞ filter to estimate the faulty input signals. A fault tolerant H∞ controller
is designed for the combined system of plant and filter which minimizes the control objective selected in the
presence of disturbances and faults. A cantilevered flexible beam bonded with piezoceramic smart materials,
in particular the PZT (Lead Zirconate Titanate), in the form of a patch is used in the validation of the FDI
filter and FTC controller design. These PZT patches are surface-bonded on the beam and perform as actuators
and sensors. A real-time data acquisition and control system is used to record the experimental data and
to implement the designed FDI filter and FTC. To assist the control system design, system identification is
conducted for the first mode of the smart structural system. The state space model from system identification
is used for the H∞ FDI filter design. The controller was designed based on minimization of the control effort
and displacement of the beam. The residuals obtained from the filter through experiments clearly identify the
fault signals. The experimental results of the proposed FTC controller show its e effectiveness for the vibration
suppression of the beam for the faulty system when the piezoceramic actuator has a partial failure.
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