Stability Analysis of Event-Driven Discrete Control Systems Based on Ordered Sets and Lattice Coordinates

摘要

Nowadays there are many event-driven types of discrete control systems in practice, e.g., manufacturing automation systems, industrial and welfare robots, computer networked systems, and so forth. Therefore, in this paper, the (finite-time) stability of event-driven (in other words, event-based) control systems is studied. First, the lattice concept is introduced from binary relations and ordered sets in a general expression. In the lattice coordinates, the dynamics of event-driven discrete control systems is clucidated. The stability of (non-linear) discrete control systems is analyzed by using multiple metrics and simultaneous linear inequalities. Numerical examples are shown to clarify the stability and boundedness of event-driven discrete control systems.