Asymptotic stabilization of high-order feedforward systems with delays in the input

作者：Zhang Xianfu^*; Boukas E K; Liu Yungang; Baron L

来源：International Journal of Robust and Nonlinear Control, 2010, 20(12): 1395-1406.

DOI：10.1002/rnc.1521

• feedforward systems
• time-delay systems
• state feedback
• Lyapunov-Krasovskii functional

This paper deals with the state feedback controller design for a class of high-order feedforward (upper-triangular) nonlinear systems with delayed inputs. The uncertainties in the systems are assumed to be dominated by higher-order nonlinearities multiplying by a constant growth rate. The designed controller, which is a continuous but not smooth feedback, could achieve global asymptotical stability. Based on the appropriate state transformation of time-delay systems, the problem of controller design can be converted into the problem of finding a parameter, which can be obtained by appraising the nonlinear terms of the systems. The nonlinear systems considered here are more general than conventional feedforward systems and they could be viewed as generalized feedforward systems. Two examples are given to show the effectiveness of the proposed design procedure.

• 出版日期2010-8
• 单位山东大学