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Self-learning sliding-mode disturbance rejection control for non-affine systems. (Chinese. English summary) Zbl 1374.93079

Summary: Disturbance Rejection Control (DRC) method with Self-Learning Sliding Mode (SLSM) is proposed for a class of Single-Input Single-Output (SISO) Non-Affine Nonlinear Systems (NANS). The proposed method realizes the extended state estimation of internal parameters perturbation and external disturbances of the NANS based on anExtended State Observer (ESO) designed by nonlinear smooth function. Sliding Mode Disturbance Rejection Control (SMDRC) for SISO NANS with uncertainties and disturbance is realized by the technology based on the ESO combined with Auto-Learning Sliding Mode Control (ALSMC). The method is not dependent on the mathematical model of the controlled plants, and can fast track any given reference signal. Numerical simulation results show that the proposed method not only has fast response, high control precision, but also has strong disturbance-rejection ability for the non-affine nonlinear systems with internal and external disturbances. So the proposed control method will play an important role in control field of the SISO NANS because of its strong robust stability.

MSC:

93B12 Variable structure systems
68T05 Learning and adaptive systems in artificial intelligence
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
93B35 Sensitivity (robustness)
93D09 Robust stability