论文信息 - Using small feedback to stabilize a wider class of feedforward systems 1

Using small feedback to stabilize a wider class of feedforward systems 1

Abstract This paper presents a further improvement of the previous work (Mazenc, 1997; Lin and Qian, 1998). By a delicate analysis and an appropriate separation of the vector field, we show how a novel synthesis approach that combines the forwarding design (Mazenc and Praly, 1996; Mazenc, 1997) and the passivity-based small control technique (Lin, 1995 and 1996) can be used to solve the problem of global stabilization, for a significant class of feedforward systems that cannot be adequately controlled using existing methods.

Wei Lin | Chunjiang Qian

[1] Wei Lin,et al. Bounded smooth state feedback and a global separation principle for non-affine nonlinear systems , 1995 .

[2] P. Kokotovic,et al. Constructive Lyapunov stabilization of nonlinear cascade systems , 1996, IEEE Trans. Autom. Control..

[3] L. Praly,et al. Adding integrations, saturated controls, and stabilization for feedforward systems , 1996, IEEE Trans. Autom. Control..

[4] Frédéric Mazenc,et al. Stabilization of feedforward systems approximated by a non-linear chain of integrators , 1997 .

[5] Wei Lin,et al. Global stabilization of nonlinear systems with marginally unstable free dynamics by small controls , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[6] P. Kokotovic,et al. Global asymptotic stabilization of the ball-and-beam system , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[7] Wei Lin,et al. Global asymptotic stabilization of general nonlinear systems with stable free dynamics via passivity and bounded feedback , 1996, Autom..

[8] A. Teel. A nonlinear small gain theorem for the analysis of control systems with saturation , 1996, IEEE Trans. Autom. Control..

[9] R. W. Brockett,et al. Asymptotic stability and feedback stabilization , 1982 .