Control of Hybrid Systems
Akash Deshpande, Akash Deshpande, Akash Deshpande · Series in electrical and computer engineering · 2005
Control of Hybrid Systems by Akash Renukadas Deshpande Doctor of Philosophy in Engineering -- Electrical Engineering and Computer Sciences University of California at Berkeley Professor Pravin Varaiya, Chair Hybrid systems are continuous variable, continuous time systems with a phased operation. Within each phase the system evolves continuously according to the dynamical law of that phase, and when an event occurs, the system makes a transition from one phase to the next. Thus, hybrid systems display both discrete and continuous behavior. The discrete behavior consists of abrupt transitions between phases, and the continuous behavior consists of smooth flows within phases. The state of the system can be thought of as a pair---the discrete state and the continuous state. The discrete state identifies a flow, and the continuous state identifies a position in it. For a transition to take place, the discrete state and the continuous state together must satisfy a condition that enables the ...