Event-based networked control and scheduling codesign with guaranteed performance

Besides a fair distribution of limited resources among competing plants in a networked embedded control system (NECS) an efficient utilization of such scarce resources is crucial. Therefore, a novel event-based codesign concept for NECSs with limited communication bandwidth and computation capacity is presented in this paper. The codesign concept involves a joint design of an event-based controller and scheduler (EBCS) for improving the control performance provided that the limited resources are used efficiently. The NECS with a set of interacting continuous-time LTI plants is modeled as a discrete-time switched linear system. The EBCS codesign problem is then formulated as a linear matrix inequality (LMI) optimization problem minimizing an associated quadratic cost function. The EBCS strategy is then evaluated and compared with existing codesign strategies in literature for a simulation study involving a simultaneous stabilization of two mechanically coupled inverted pendulums. It should be remarked finally that the proposed EBCS strategy is generally applicable to discrete-time switched linear systems.