Abstract: 

We employ the hybrid-systems-with-memory formalism to investigate transmission intervals and delays that provably stabilize Networked Control Systems (NCSs). Nonlinear time-varying plants and controllers with variable discrete and distributed input, output and state delays along with nonconstant discrete and distributed network delays are considered. Nominal system L2-stability, Uniformly Globally Exponentially Stable (UGES) scheduling protocols and upper bounds of network-induced output error dynamics are brought together to infer Uniform Global pre-Asymptotic Stability (UGpAS) of the closed-loop system via Lyapunov-Krasovskii arguments. In other words, we supplant the Lyapunov-Razumikhin conditions and trajectory-based small-gain theorem with linear L2-gains arguments featured in our previous works by Lyapunov-Krasovskii functionals to prove UGpAS of interconnected hybrid systems with memory. The elected methodology allows for more general delays (e.g., input/output/state discrete and distributed delays) and output error dynamics (e.g., multiple discrete and distributed delays) as well as less conservative estimates of Maximally Allowable Transfer Intervals (MATIs). Our results are applicable to control problems with output feedback and the so-called large delays. In addition, model-based estimators between two consecutive transmissions, rather than merely Zero.

Bio:

A research associate and lecturer at RIT Croatia, Dubrovnik. In 2007, he graduated from the Faculty of Electrical Engineering and Computing (FER), University of Zagreb (UNIZG), with a Masters degree (Dipl.-Ing.) in Electrical Engineering, majoring in Control Systems. In 2008, he graduated from the Mathematics Department of UNIZG with a Bachelor Degree in Mathematics. Afterwards, he enrolled in the PhD program, the Control Systems major, at the Department of Electrical and Computer Engineering, University of New Mexico (UNM), Albuquerque, NM. He completed his PhD program in August 2012. In the period 2012-2015, he was a postdoctoral researcher on several scientific projects at FER and Technical University of Munich, Germany. Afterward, he was a postdoctoral researcher at University of Dubrovnik (UNIDU) from 2015 to 2017. His research focuses on stability and estimation under intermittent and delayed information for nonlinear networked control systems. The developed theory is applied to problems in the area of multi-agent robotics.