access icon free Inverse error analysis and adaptive output feedback control of uncertain systems preceded with hysteresis actuators

The development of control approaches for systems preceded with hysteresis non-linearities has received great attentions in recent decades. The most common approach is the construction of an inverse model as the compensator to mitigate hysteresis effects. However, most of the developed schemes are state-based, requiring the availability of states of systems, which may not be the case for some practical systems. In this study, output control with inverse compensation will be addressed. By using the inverse as a feedforward compensator for the model described by the modified generalised Prandtl–Ishlinskii model, an corresponding analytical expression of the inverse compensation error is first obtained. Then, an observer-based robust adaptive output feedback controller is developed. It is shown that the proposed output feedback control scheme can not only guarantee the stability of the control systems, but also can achieve the desired tracking accuracy.

Inspec keywords: feedforward; feedback; uncertain systems; observers; robust control; control system synthesis; compensation; actuators; adaptive control; error analysis; control nonlinearities

Other keywords: inverse compensation error analysis; hysteresis effect mitigation; observer-based robust adaptive output feedback controller development; hysteresis nonlinearities; uncertain systems; analytical expression; output control; control system stability; hysteresis actuators; feedforward compensator; modified generalised Prandtl-Ishlinskii model; tracking accuracy

Subjects: Actuating and final control devices; Simulation, modelling and identification; Self-adjusting control systems; Error analysis in numerical methods; Nonlinear control systems; Control system analysis and synthesis methods; Stability in control theory

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