title: Adaptive fuzzy prescribed performance control for MIMO nonlinear systems with unknown control direction and unknown dead-zone inputs.
abstract: In this study, an adaptive fuzzy prescribed performance control approach is developed for a class of uncertain multi-input and multi-output (MIMO) nonlinear systems with unknown control direction and unknown dead-zone inputs. The properties of symmetric matrix are exploited to design adaptive fuzzy prescribed performance controller, and a Nussbaum-type function is incorporated in the controller to estimate the unknown control direction. This method has two prominent advantages: it does not require the priori knowledge of control direction and only three parameters need to be updated on-line for this MIMO systems. It is proved that all the signals in the resulting closed-loop system are bounded and that the tracking errors converge to a small residual set with the prescribed performance bounds. The effectiveness of the proposed approach is validated by simulation results.
authors.affiliation: School of Electrical Engineering and Automation, Tianjin Polytechnic University, Tianjin, 300387, China; Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tianjin, 300387, China. Electronic address: shiwuxi@163.com.
authors.forename: Wuxi
authors.initials: W
authors.lastname: Shi
authors.affiliation: School of Electrical Engineering and Automation, Tianjin Polytechnic University, Tianjin, 300387, China; Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tianjin, 300387, China. Electronic address: luorui1993@163.com.
authors.forename: Rui
authors.initials: R
authors.lastname: Luo
authors.affiliation: School of Electrical Engineering and Automation, Tianjin Polytechnic University, Tianjin, 300387, China; Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tianjin, 300387, China. Electronic address: libq@tjpu.edu.cn.
authors.forename: Baoquan
authors.initials: B
authors.lastname: Li
keywords: Adaptive control; Fuzzy control; MIMO nonlinear systems; Prescribed performance; Unknown control direction; Unknown dead-zone inputs