Brief paper: Analysis of networked control systems with drops and variable delays
Automatica (Journal of IFAC)
A new delay system approach to network-based control
Automatica (Journal of IFAC)
Brief paper: On the model-based approach to nonlinear networked control systems
Automatica (Journal of IFAC)
Technical communique: Stability and stabilization of nonuniform sampling systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Comparison of overapproximation methods for stability analysis of networked control systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Controller synthesis for networked control systems
Automatica (Journal of IFAC)
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Input-to-state stability of networked control systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
This paper presents a sum of squares (SOS) approach to the stability analysis of networked control systems (NCSs) incorporating bounded time-varying delays, bounded time-varying transmission intervals and a shared communication medium. A shared communication medium imposes that per transmission only one node, which consists of several actuators or sensors, can access the network and transmit its corresponding data. Which node obtains access is determined by a network protocol. We will provide mathematical models that describe these NCSs and transform them into suitable hybrid systems formulations. Based on these hybrid systems formulations we construct Lyapunov functions using SOS techniques that can be solved using LMI-based computations. This leads to several beneficial features: (i) we can deal with plants and controllers which are described by nonlinear (piecewise) polynomial differential equations, (ii) we can allow for non-zero lower bounds on the delays and transmission intervals in contrast with various existing approaches, (iii) we allow more flexibility in the Lyapunov functions thereby obtaining less conservative estimates of the maximal allowable transmission intervals (MATI) and maximal allowable delay (MAD), and finally (iv) it provides an automated method to address stability analysis problems in NCS. Several numerical examples illustrate the strengths of our approach.