Global Fuzzy Tracking Control for Uncertain High-Order Odd-Rational-Power Systems With Sensor Faults

Global control problem for uncertain nonlinear systems with unknown high-order odd-rational powers, additive sensor faults and fully unknown nonlinearities is investigated. By introducing a novel prescribed-performance transformation, the initial error of each subsystem can be confined in the constrained area for arbitrary system initialization. Then, the designed controller can guarantee global stability of the studied system for all initial system states, and can allow the system nonlinearities to be completely unknown. The odd-rational-power terms are divided into two parts appropriately by using mathematical tools, which facilitates the control design under sensor faults and odd-rational powers while the odd-rational powers are allowed to be unknown. It is proved that the proposed controller can guarantee the global stability of nonlinear systems with unknown system nonlinearities under odd-rational powers and sensor faults. Finally, the advantages and effectiveness of the proposed method are highlighted by both numerical and semi-physical simulations.