access icon free Predictor-based output feedback control design for sampled systems with input delay subject to disturbance

In this study, a predictor-based output feedback control design is proposed for sampled systems with input delay subject to disturbance. An extended state observer (ESO) is first constructed to simultaneously estimate the system state and disturbance based on only the output measurement. Then a filtered predictor is constructed by using the estimated state and disturbance to compensate the input delay so as to improve the disturbance rejection performance. For the presence of a constant or asymptotically stable disturbance, a robust H infinity feedback control design based on state prediction and disturbance estimation is proposed to realise no steady-state output error, despite mismatched disturbance. When there exists a time-varying disturbance with deterministic dynamics, such as a sinusoidal type, the proposed predictor can achieve a small prediction error by properly tuning the filter, such that the existing observer-based feedback control methods for delay-free systems can be directly adopted to stabilise such a system with input delay. Moreover, the output error bounds in the presence of time-varying disturbance are quantitatively analysed for using the ESO-based predictor feedback and anti-disturbance predictor feedback, respectively. Two illustrative examples are given to demonstrate the effectiveness and merit of the proposed method.

Inspec keywords: observers; sampled data systems; control system synthesis; time-varying systems; feedback; asymptotic stability; delays; robust control; H∞ control

Other keywords: extended state observer; ESO-based predictor feedback; predictor-based output feedback control design; state prediction; robust H infinity feedback control design; sampled systems; time-varying disturbance; anti-disturbance predictor feedback; asymptotic stability; disturbance estimation; input delay

Subjects: Optimal control; Time-varying control systems; Distributed parameter control systems; Stability in control theory; Control system analysis and synthesis methods; Discrete control systems

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