Guaranteed cost control of linear systems over networks with state and input quantisations

The guaranteed cost control design for linear systems connected over a common digital communication network is addressed. A new model is proposed that takes into consideration the effect of both the quantisation levels and the network conditions. A control design criterion is derived on the basis of the Lyapunov functional method and the idea of the cone complementary linearisation algorithm. A numerical example is given to show the application of the method proposed.

[1]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[2]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..

[3]  Björn Wittenmark,et al.  Stochastic Analysis and Control of Real-time Systems with Random Time Delays , 1999 .

[4]  M. Mahmoud.  Robust Control and Filtering for Time-Delay Systems , 2000 .

[5]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[6]  Y. Tipsuwan,et al.  Network-based control systems: a tutorial , 2001, IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.37243).

[7]  Magdi S. Mahmoud.  Control of uncertain state-delay systems: guaranteed cost approach , 2001 .

[8]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[9]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[10]  M. Egerstedt,et al.  Control with delayed and limited information: a first look , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[11]  Linda Bushnell,et al.  Stability analysis of networked control systems , 2002, IEEE Trans. Control. Syst. Technol..

[12]  Daniel Liberzon,et al.  On stabilization of linear systems with limited information , 2003, IEEE Trans. Autom. Control..

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

[14]  Dong Yue,et al.  STATE FEEDBACK CONTROLLER DESIGN OF NETWORKED CONTROL SYSTEMS WITH PARAMETER UNCERTAINTY AND STATE‐DELAY , 2006 .

[15]  Yuechao Wang,et al.  An LMI approach to stability of systems with severe time-delay , 2004, IEEE Transactions on Automatic Control.

[16]  Tamer Basar,et al.  Remote control of LTI systems over networks with state quantization , 2005, Syst. Control. Lett..

[17]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.