In this paper the stability analysis and control synthesis problems for networked control systems (NCS) with bounded transmission delays (constant and unknown or time-varying) are investigated. First, stability conditions for NCS described by ARMA models are established and a method for the determination of admissible delay range is developed. Then, a linear programming method for the design of linear state-feedback controllers guaranteeing the stability of the system for any delay belonging to a prespecified range is developed. Contrary to the usual approaches based on the use of quadratic Lyapunov functions, a polyhedral Lyapunov approach is adopted for both analysis and synthesis. A control synthesis numerical example is given to illustrate the reduction of conservatism of the tolerable delay range when compared to former results.
|Title of host publication
|Proceedings of the 3rd IEEE Multi-conference on Systems and Control (MSC 2009), 8-10 july 2009, St. Petersburg, Russia
|Place of Publication
|Institute of Electrical and Electronics Engineers
|Published - 2009