| Hybrid control systems, that is, systems which contain both continuous-time and discrete event dynamics are studied in this dissertation. First, a model is introduced that describes the continuous time system to be controlled, the discrete event controller, and the interface that connects the continuous system dynamics with the discrete event controller. Emphasis is placed on the choice of the interface which is the key in the analysis and design of hybrid control systems. A Discrete Event System (DES) automaton description is then employed to describe the plant together with the interface and it is used to analyze the hybrid control system. System theoretic concepts such as determinism and quasideterminism that help define the interface so that the hybrid system has desired properties are introduced.;Two methodologies for the design of hybrid control systems are introduced: a logical, DES based approach, and an approach based on the invariants of the plant. In the logical approach, controllability is defined for hybrid control systems, enhancing existing DES control concepts. It is then used to obtain a controller design method for hybrid control systems. Alternatively, the invariant based approach uses the natural invariants of the plant to complete the design of the interface and also design a controller. Algorithms have been developed to implement both design approaches. |
