English

Robust Output Regulation of Linear Passive Systems with Multivalued Upper Semicontinuous Controls

Systems and Control 2019-11-14 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.1412.2064,
  title  = {Robust Output Regulation of Linear Passive Systems with Multivalued Upper Semicontinuous Controls},
  author = {Félix A. Miranda and Fernando Castaños},
  journal= {arXiv preprint arXiv:1412.2064},
  year   = {2019}
}

Comments

10 pages, 9 figures