WAN networked control systems implemented by computer control: Sampled-data synthesis: Dedicated to academician Si-Ying Zhang, Chinese academy of sceinecs, a great scientist and teacher

A novel discrete-time synthesis for WAN-based computer control of networked control systems with a class of nonlinear plants is developed. Such a networked control systems are assumed to comprise an affine nonlinear plant process to be controlled and a linear digital controller in presence of WAN induced time delays. It can be viewed as a typical hybrid control system with network-induced delays. Sufficient conditions for guaranteed exponential closed-loop stability have been derived via the proposed discrete-time synthesis. These novel results have been tested by application to an illustrative example from the literature. The obtained numerical and simulation results have demonstrated considerable control effectiveness as well as quality transient performance for the class of affine nonlinear plant system models.

[1]  A. Michel,et al.  Some qualitative properties of sampled-data control systems , 1997, IEEE Trans. Autom. Control..

[2]  William Stallings,et al.  Data and Computer Communications , 1985 .

[3]  Chaouki T. Abdallah,et al.  Networked control systems: a sampled-data approach , 2003, Proceedings of the 2003 IEEE International Symposium on Intelligent Control.

[4]  Erik I. Verriest.  Stability of systems with state‐dependent and random delays , 2002 .

[5]  Georgi M. Dimirovski,et al.  Categories in systems and control theory , 1977 .

[6]  J. R. Leigh.  Applied Digital Control: Theory, Design, and Implementation , 1984 .

[7]  Linda Bushnell,et al.  Asymptotic behavior of nonlinear networked control systems , 2001, IEEE Trans. Autom. Control..

[8]  Georgi M. Dimirovski,et al.  Switching Hinf Control Synthesis Designs for Networked Control Systems , 2013, 2013 19th International Conference on Control Systems and Computer Science.

[9]  Haibin Yu,et al.  Stability of networked control systems based on switched technique , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[10]  Long Wang,et al.  An LMI approach to networked control systems with data packet dropout and transmission delays , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[11]  P. Parks.  Analytic Methods for Investigating Stability—Linear and Non-Linear Systems. A Survey , 1963 .

[12]  Sing Kiong Nguang,et al.  Fuzzy Control of Uncertain Nonlinear Networked Control Systems with Random Time-delays , 2007, 2007 American Control Conference.

[13]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

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

[15]  Richard H. Middleton,et al.  Networked control design for linear systems , 2003, Autom..

[16]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[17]  Raja Sengupta,et al.  An H/sub /spl infin// approach to networked control , 2005, IEEE Transactions on Automatic Control.

[18]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[19]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[20]  Mikell P. Groover,et al.  Automation, Production Systems, and Computer-Integrated Manufacturing , 1987 .

[21]  Wei Zhang,et al.  Stability of networked control systems: explicit analysis of delay , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[22]  Panos J. Antsaklis,et al.  Control and Communication Challenges in Networked Real-Time Systems , 2007, Proceedings of the IEEE.

[23]  P. Parks,et al.  Liapunov and the Schur-Cohn stability criterion , 1964 .

[24]  Yu Shi-ming.  Sliding mode multiple steps predictive control for networked control systems , 2005 .

[25]  Johan Nilsson,et al.  Real-Time Control Systems with Delays , 1998 .

[26]  Q. Han,et al.  State feedback controller design of networked control systems , 2004 .