This paper is concerned with the tracking control problem for time-delay strict-feedback nonlinear sys-tems,in which the time-varying arbitrary state delays and the completely unknown system dynamics are taken in-to full consideration.To address this problem,instead of parameter identification,function approximation,gain ad-aption and command filtering,an orientation function-based prescribed performance control approach is put for-ward.It eliminates the dependence of the control design on the system nonlinearities,the control directions and the virtual control signal derivatives.Moreover,in lieu of the stability analysis based on Lyapunov-Krasovskii function-als or Razumikhin functions,a framework for constraint analysis by contradiction is adopted.It excludes the com-monly adopted assumptions on the known bounds of time-delays,the partially known time-delay nonlinearities and the time-delay derivatives less than 1.Therefore,a model-free low-complexity high-performance control scheme is obtained,which confines the tracking error inside the predefined performance envelop.In this way,it is achieved that the system output tracks the time-varying reference with the prescribed rate and accuracy.Finally,a compar-ative simulation on the two-stage chemical reactor with delayed recycle streams is conducted,and the simulation results substantiate the effectiveness and the superiority of the proposed approach.
关键词
无模型控制/预设性能/参考跟踪/时延系统/非线性系统
Key words
Model-free control/prescribed performance/reference tracking/time-delay/nonlinear systems