LMI control design for a class of exponential uncertain systems with application to network controlled switched systems

Abstract

This paper is dedicated to the stabilizability of discrete uncertain systems with exponential uncertainties. Such uncertain system are encountered in many application domains that use sampled-data controllers and communication networks. For the sake of generality, the design problem is presented in the context of switched systems. LMI robust control synthesis based on an equivalent polytopic model with an additive norm bounded term are presented. The results are applied to network controlled switched systems in which both the switching signal and the control input are affected by networked induced delay.

Sensor fault detection and isolation filter for polytopic LPV systems: A winding machine application

“…Here, the method developed by (Hetel et al, 2007) is considered. This method underlines the exact equivalence between polynomial model and convex polytopic representation.…”

Stochastic Model Predictive Control for Constrained Networked Control Systems with Random Time Delay

“…The state constraints in the continuous time are approximated by imposing sufficient conditions that the state of the system must satisfy only at the sampling instances. The technique is based on recent ideas regarding polytopic approximations of systems with timevarying delays, (Cloosterman [2008], Gielen et al [2009], , , Hetel et al [2006], Hetel et al [2007]). …”

Analysis and Synthesis of State-Feedback Controllers With Timing Jitter

“…We then continue the chosen finite sequence infinitely, adding for . This sample time sequence results in the cost (15) where propagates according to (11). This cost is, of course, a lower bound on .…”

“…A related topic is jitter compensation, which consists of adding a "compensator" to the existing control system to guarantee stability or a certain performance level in the presence of jitter; see, e.g., [10]- [12]. Other researchers have used LMIs, and robust control analysis and synthesis methods, to achieve stabilization of discrete uncertain systems [13], [14], or switched systems with unknown time-varying delays [15]. Recent work has also discussed the use of time-varying delay to model sample-and-hold circuits [16].…”