Analysis and control of hybrid dynamical systems: an insight into switched control systems
Hybrid dynamical systems have emerged as a novel framework with potential for improving the performance and capabilities of a wide variety of engineering systems. In addition, from the theoretical viewpoint, they provide alternative ways of interpreting and solving the abstraction, specification, verification and design of complex control systems. Generally speaking, hybrid systems are dynamical systems consisting of continuous-type dynamics and discrete-event dynamics. They merge formal computational tools, dynamical systems theory and control engineering methodologies. Consequently, this framework gives rise to models, behaviour analysis tools, stability definitions, control schemes, numerical analysis methods and algorithms for simulation which are novel, and entail a better formulation of the system interaction with the environment.
The goal of this PhD project is to formulate dynamical and control-related properties within the hybrid-systems framework. In particular, the study of complex dynamical phenomena of electromechanical systems with friction and impacts will be carried out. Switched or discontinuous control-type schemes will be explored in order to get system desired behaviour and good performance. These control algorithms will be reinterpreted within the hybrid- systems framework.