A new prescribed performance control approach for uncertain nonlinear dynamic systems via back-stepping

作者：Bu, Xiangwei^*; He, Guangjun; Wei, Daozhi

来源：Journal of the Franklin Institute, 2018, 355(17): 8510-8536.

DOI：10.1016/j.jfranklin.2018.09.001

• OUTPUT-FEEDBACK CONTROL
• BREATHING HYPERSONIC VEHICLES
• ADAPTIVE NEURAL-CONTROL
• TRACKING CONTROL
• SURFACE CONTROL
• DESIGN

Though traditional prescribed performance control (PPC) schemes can guarantee tracking errors with desired transient performance, they cannot ensure the convergence of tracking errors with small overshoot. In this study, we propose a novel PPC methodology for a class of uncertain nonlinear dynamic systems based on back-stepping, guaranteeing output tracking with small (even zero) overshoot. Firstly, new performance functions are constructed to constrain tracking errors. Then, to facilitate control designs, the "constrained" systems are transformed into equivalent "unconstrained" ones by designing a series of transformed errors. Furthermore, robust back-stepping controllers, requiring no priori knowledge of uncertainties' upper bounds, are developed utilizing transformed errors instead of initial tracking errors. Semi-globally uniformly bounded stability of the closed-loop control system is guaranteed via Lyapunov synthesis. Finally, simulation and experiment results are presented to verify the design.

• 出版日期2018-11
• 单位中国人民解放军空军工程大学