Output feedback stabilisation of nonlinear networked control systems with non-decreasing nonlinearities

This paper addresses an output feedback stabilisation problem of a class of nonlinear systems with nonlinearities satisfying the non-decreasing property via limited-capacity communication channels. We propose an algorithm that consists of an observer and a coder/decoder-controller pair. Sufficient conditions for the stabilisation problem are provided and presented in terms of linear matrix inequalities. The results are then illustrated with examples

[1]  C. De Persis Results on stabilization of nonlinear systems under finite data-rate constraints , 2004 .

[2]  João Pedro Hespanha,et al.  Stabilization of nonlinear systems with limited information feedback , 2005, IEEE Transactions on Automatic Control.

[3]  Andrey V. Savkin,et al.  Analysis and synthesis of networked control systems: Topological entropy, observability, robustness and optimal control , 2005, Autom..

[4]  Alberto Isidori,et al.  Stabilizability by state feedback implies stabilizability by encoded state feedback , 2004, Syst. Control. Lett..

[5]  Andrey V. Savkin,et al.  Detectability and Output Feedback Stabilizability of Nonlinear Networked Control Systems , 2007, Proceedings of the 44th IEEE Conference on Decision and Control.

[6]  K. Narendra,et al.  Frequency Domain Criteria for Absolute Stability , 1973 .

[7]  Petar V. Kokotovic,et al.  Circle and Popov criteria as tools for nonlinear feedback design, , 2003, Autom..

[8]  Robin J. Evans,et al.  Topological feedback entropy and Nonlinear stabilization , 2004, IEEE Transactions on Automatic Control.

[9]  Petar V. Kokotovic,et al.  Observer-based control of systems with slope-restricted nonlinearities , 2001, IEEE Trans. Autom. Control..

[10]  C. De Persis,et al.  On stabilization of nonlinear systems under data rate constraints using output measurements , 2006 .

[11]  Andrey V. Savkin,et al.  Output feedback stabilization of nonlinear networked control systems with non-decreasing nonlinearities: a matrix inequalities approach , 2007 .

[12]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[13]  Bruce A. Francis,et al.  Limited Data Rate in Control Systems with Networks , 2002 .

[14]  Petar V. Kokotovic,et al.  Nonlinear observers: a circle criterion design and robustness analysis , 2001, Autom..