Decentralized robust stabilization for large-scale feedforward non-linear systems

In this paper, we consider the decentralized robust stabilization problem for large-scale feedforward non-linear systems, which possess an upper-triangular structure, while in the decentralized control area the commonly studied large-scale feedback non-linear systems possess a lower-triangular structure. Our decentralized robust stabilizer for each subsystem takes a nested saturation feedback, with the saturation levels satisfying a set of equations and inequalities. Global asymptotic stability of the closed-loop large-scale system has been proved, and a simulation example is given.

[1]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[2]  Zhong-Ping Jiang,et al.  Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems , 1999 .

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

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

[5]  Alessandro Astolfi,et al.  Nonlinear control of feedforward systems with bounded signals , 2004, IEEE Transactions on Automatic Control.

[6]  A. Isidori,et al.  Robust global stabilization of a class of uncertain feedforward nonlinear systems , 2000 .

[7]  Riccardo Marino,et al.  Nonlinear control design: geometric, adaptive and robust , 1995 .

[8]  Ye Xudong,et al.  Brief Universal stabilization of feedforward nonlinear systems , 2003 .

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

[10]  Miroslav Krstic,et al.  Feedback linearizability and explicit integrator forwarding controllers for classes of feedforward systems , 2004, IEEE Transactions on Automatic Control.

[11]  Ye-Hwa Chen,et al.  Robust control design for interconnected systems with time-varying uncertainties , 1991 .

[12]  Wei Lin,et al.  New results on global stabilization of feedforward systems via small feedback , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[13]  Mrdjan Jankovic,et al.  Integrator forwarding: A new recursive nonlinear robust design , 1997, Autom..

[14]  S. Jain,et al.  Decentralized adaptive control of a class of large-scale interconnected nonlinear systems , 1997, IEEE Trans. Autom. Control..

[15]  Xudong Ye,et al.  Universal stabilization of feedforward nonlinear systems , 2003, Autom..

[16]  A. Teel.  Using Saturation to Stabilize a Class of Single-Input Partially Linear Composite Systems , 1992 .

[17]  M. P. Tzamtzi,et al.  An explicit formula of bounded feedback stabilizers for feedforward systems , 2001, Syst. Control. Lett..

[18]  Lihua Xie,et al.  Decentralized global robust stabilization of a class of large-scale interconnected minimum-phase nonlinear systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[19]  Zhong-Ping Jiang,et al.  New results in decentralized adaptive non-linear stabilization using output feedback , 2001 .

[20]  Zhong-Ping Jiang,et al.  Decentralized disturbance attenuating output-feedback trackers for large-scale nonlinear systems , 2002, Autom..