Adaptive TD control of full-state-constrained nonlinear stochastic switched systems

Highlights：

• A smaller tracking error can be obtained with the assistance of the constructed adaptive TD control tactics, and the “differential explosion” inevitably occurred in the work [40, 42] are also cleverly handled. Inspired by the idea in [43, 44], for stochastic switched systems, the TD method is attempted to manage the control issue. The errors arising from the TD are considered in the compensation signals associated with the state constraints, which can manage the asymmetric full state constraints and improve the tracking accuracy.

• A low computation adaptive controller design is developed and asymmetric full state constraints are remedied successfully, which relaxes the calculation burden and is thus propitious to apply in industry.

摘要

•An improved non-BLFs control algorithm is merged with the adaptive tracking control design, which can handle the asymmetric constraints and avoid the construction of the piecewise BLFs [34, 36], and achieves the tracking control purpose smoothly. Compared with the similar result in [41], the switching and stochastic disturbance are taking into account, which makes the design more challenging.•A smaller tracking error can be obtained with the assistance of the constructed adaptive TD control tactics, and the “differential explosion” inevitably occurred in the work [40, 42] are also cleverly handled. Inspired by the idea in [43, 44], for stochastic switched systems, the TD method is attempted to manage the control issue. The errors arising from the TD are considered in the compensation signals associated with the state constraints, which can manage the asymmetric full state constraints and improve the tracking accuracy.•A low computation adaptive controller design is developed and asymmetric full state constraints are remedied successfully, which relaxes the calculation burden and is thus propitious to apply in industry.