Repetitive processes are characterized by repeated executions of a task de- ?ned over a ?nite duration with resetting after each execution is complete. Also the output from any execution directly in uences the output produced on the next execution. The repetitive process model structure arises in the modeling of physical processes and can also be used to e?ect in the control of other systems, such as iterative learning control where experimental veri?fication of designs has been reported. The existing systems theory for them is, in the main, linear model based. This paper considers nonlinear repetitive processes using a dissipative setting and develops a stabilizing control law with the required conditions expressed in terms of vector storage functions. This design is then extended to stabilization plus disturbance attenuation.
['Pavel Pakshin', 'Julia Emelianova', 'Mikhail Emelianov', 'Krzysztof Galkowski', 'Eric Rogers']
Dissipativity and stabilization of nonlinear repetitive processes