access icon openaccess Hysteretic non-linearity observer design and robust control for piezoelectric actuators

This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Received 28/09/2018, Accepted 12/10/2018, Published 22/10/2018

The problem of tracking control for piezoelectric actuator (PEA) is investigated in this article. In consideration of that, the control precision of PEA is being restricted due to the hysteretic effect. For the purpose of improving the tracking performance, two issues are, respectively, taken into account – the compensation of the hysteretic effect and the controller design for the PEA system. To solve these problems, first, a new hysteresis observer based on sliding mode control theory is established. The design of the observer has considered the uncertainty in PEA modelling and the exogenous disturbance. Besides, according to Lyapunov theory, the hysteresis observer can asymptotically estimate the hysteretic character with performance. Second, a fault-tolerant controller based on robust backstepping control theory is presented to make the PEA system to track the desire input. At last, numerical examples are given to verify the effectiveness of the proposed methods.

Inspec keywords: hysteresis; fault tolerant control; control system synthesis; nonlinear control systems; variable structure systems; robust control; uncertain systems; control nonlinearities; Lyapunov methods; piezoelectric actuators; observers

Other keywords: fault-tolerant controller; robust control; robust backstepping control theory; tracking performance; hysteretic nonlinearity observer design; hysteretic effect; uncertain systems; Lyapunov theory; sliding mode control theory; H∞ performance; exogenous disturbance; tracking control; PEA modelling; controller design; hysteretic character; piezoelectric actuator

Subjects: Stability in control theory; Control system analysis and synthesis methods; Simulation, modelling and identification; Electric actuators and final control equipment; Multivariable control systems; Nonlinear control systems

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