The main contribution of this thesis is to propose a Framework to generate Rhythmically- 
Controlled Multi-Mode Audio-Based Interactive Systems used create variable-form im- 
provised pieces in real musical performance contexts. In the recent years the field of 
Interactive Music System has grown considerably but issues related to Rhythm has been 
underestimated in my point of view. I analyze other related approach and compare them 
to mine. After that, I develop a profound analysis with respect to Rhythm considering 
different perspectives. In the core of my work, I develop the concepts of mode and meta- 
mode of interaction and formalize them using the Theory of Synchronized Automata 
empowered by Tree Structures. Based on this formalization, I develop computational 
tools to deal with real life situations. Finally, I describe and analyze two case studies 
based on their computational structure and practical musical results.