Robust Output Regulation of Linear Passive Systems with Multivalued Upper Semicontinuous Controls
For control theorists and engineers, it extends passivity-based control to multivalued controls, but the contribution is incremental as it applies known concepts to a specific operator class.
This paper studies multivalued controls from a maximal monotone operator for robust output regulation in strictly passive linear systems with parametric uncertainty and disturbances, demonstrating regulation to a desired value with robustness properties supported by numerical examples.
The use of multivalued controls derived from a special maximal monotone operator are studied in this note. Starting with a strictly 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.