Adaptive stabilizing control for a class of high-order nonlinear uncertain systems
一类高阶非线性不确定系统自适应稳定控制

The adaptive stabilizing control design is investigated for a class of high-order nonlinear uncertain systems with inherent nonlinearities and nonidentical unknown control coefficients with known signs. A new approach to design the state-feedback stabilizing controller is developed for this class of nonlinear systems by employing adaptive technique with suitable choice of the design parameters. The systematic design procedure for the stabilizing controller is also addressed by utilizing the backstepping technique. The designed state-feedback controller guarantees that the states of the closed-loop systems globally asymptotically converge to zero and all other closed-loop signals are uniformly bounded. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme.