Title: Dissipative controller design (1 hour)
Abstract: Dissipative systems theory has a long history in the field of control. It can be motivated in terms of energy: the energy stored in a dissipative system will be no greater than the stored energy at an initial time plus the work done on the system. However, this concept can be defined abstractly and the storage function does not always have an interpretation as the energy of the system. The major input-output stability results can be obtained a special cases of results using dissipative systems.
The key ideas in dissipative systems and some important stability theorems will be presented. The approach will be illustrated with examples, including some recent results on robust control of smart materials.