Robust Output Regulation
Optimization-Based Synthesis and Event-Triggered Implementation
Mohammad Saeed Sarafraz (Sharif University of Technology)
Anton V. Proskurnikov (Politecnico di Torino, Russian Academy of Sciences)
Mohammad Saleh Tavazoei (Sharif University of Technology)
P. Mohajerin Esfahani (TU Delft - Team Bart De Schutter, TU Delft - Team Peyman Mohajerin Esfahani)
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Abstract
In this article, we investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that are possibly nonlinear and the uncertainty of their linear parts is modeled element wise through a parametric family of matrix boxes. An optimization-based design procedure is proposed that delivers a continuous-time control and estimates the maximal regulation error. We also analyze an event-triggered emulation of this controller, which can be implemented on a digital platform, along with an explicit estimate of the regulation error.