IEEE Transactions on Automatic Control, Vol.62, No.1, 238-249, 2017
Robust Output Regulation of Strongly Passive Linear Systems With Multivalued Maximally Monotone Controls
The use of multivalued controls derived from a special maximally monotone operator are studied in this paper. Starting with a strongly passive linear system (with possible parametric uncertainty and external disturbances) a multivalued control law is derived, ensuring regulation of the output to a desired value. The methodology used falls in a passivity-based control context, where we study how the multivalued control affects the dissipation equation of the closed-loop system, from which we derive its robustness properties. Finally, some numerical examples together with implementation issues are presented to support the main result.