Study on Model-Free Control of a Class of Nonlinear Discrete-Time Systems
School of Mechanical Engineering, Yangzhou University, Yangzhou 225000, China
| Abstract: | A modified model-free adaptive control (MFAC) approach is proposed to address output fluctuation and overshoot problems existing in the prototype MFAC. Targeting a class of discrete-time nonlinear single-input single-output systems, historical input/output information is applied to construct explicit data model which is equivalent to the plant model in a real-time online manner. Control scheme is designed based on the data model such that model-free characteristic in control process is realized. A novel optimization index function is proposed by using the data model. An input compensation term is introduced on the basis of minimizing the tracking error in the prototype MFAC for restraining output response speed and softening control input. The input amplitude is reduced by the input compensation term for restraining output fluctuation and overshoot when the output change rate is too large. Adaptive matching between the output response and the control input is also realized. Numerical simulation results show that, compared with the prototype MFAC, the modified MFAC can significantly suppress the system output oscillation and overshoot under the same response time conditions. The output fluctuation of the closed-loop system is significantly reduced. The positive overshoot is reduced by about 10%, and the negative overshoot is effectively suppressed. The dynamic response of the closed-loop system is smoother and the operation is more stable. |
| Keywords: | Model-Free; Compensatory Input; Oscillation and Overshoot Suppression; Data Model |
| DOI: | 10.57237/j.mse.2026.01.002 |
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Received: 8 December 2025
Accepted: 18 March 2026
Published Online: 24 March 2026
Funding
| 1. | 国家自然科学基金 (52405428) |
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