Global stabilization via sampled-data output feedback for large-scale systems interconnected by inherent nonlinearities

Abstract This paper aims to solve the decentralized sampled-data control problem for a class of large-scale systems interconnected by inherent nonlinearities, which violate the linear growth condition. Under a homogeneous growth condition, a set of decentralized sampled-data output feedback controllers are constructed with scaling gains and a sampling period. By the output feedback domination approach, the scaling gains are firstly correlated and then selected to dominate the nonlinearities. Finally, by developing and applying a useful tool to estimate trajectory growth, global stabilization is achieved for the closed-loop system under an appropriate sampling period.

[1]  Zhong-Ping Jiang,et al.  Decentralized nonlinear output-feedback stabilization with disturbance attenuation , 2001, IEEE Trans. Autom. Control..

[2]  Shihua Li,et al.  Semi‐global stabilization via linear sampled‐data output feedback for a class of uncertain nonlinear systems , 2015 .

[3]  Zhong-Ping Jiang,et al.  Decentralized output-feedback control of large-scale nonlinear systems with sensor noise , 2012, Autom..

[4]  Da-Zhong Zheng Decentralized output feedback stabilization of a class of nonlinear interconnected systems , 1989 .

[5]  Kevin M. Passino,et al.  Decentralized adaptive control of nonlinear systems using radial basis neural networks , 1999, IEEE Trans. Autom. Control..

[6]  C. Qian,et al.  A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback , 2007 .

[7]  Xin Yu,et al.  Decentralized adaptive output‐feedback control for stochastic interconnected systems with stochastic unmodeled dynamic interactions , 2011 .

[8]  Boris Lohmann,et al.  Output feedback decentralized control of large-scale systems using weighted sensitivity functions minimization , 2002, Syst. Control. Lett..

[9]  Chunjiang Qian,et al.  Decentralized Control of Large-Scale Uncertain Nonlinear Systems by Linear Output Feedback , 2004, Commun. Inf. Syst..

[10]  Chunjiang Qian,et al.  Global Output Feedback Stabilization of a Class of Nonlinear Systems via Linear Sampled-Data Control , 2012, IEEE Transactions on Automatic Control.

[11]  Hassan K. Khalil,et al.  Performance recovery under output feedback sampled-data stabilization of a class of nonlinear systems , 2004, IEEE Transactions on Automatic Control.

[12]  Dragan Nesic,et al.  Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems , 2009, IEEE Transactions on Automatic Control.

[13]  Zhong-Ping Jiang,et al.  Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback , 2000, IEEE Trans. Autom. Control..

[14]  Xudong Ye,et al.  Decentralized adaptive output regulation for a class of large-scale nonlinear systems , 2003, IEEE Trans. Autom. Control..

[15]  Lei Guo,et al.  Decentralized output-feedback adaptive control for a class of interconnected nonlinear systems with unknown actuator failures , 2016, Autom..