A dynamic output feedback controller for NCS based on delay estimates

Abstract

The stabilization of a network controlled system including a global time-varying delay is investigated in this note. This delay is considered to be unknown but it is assumed that a bounded error estimate is available. The exponential uncertainty induced by the time-varying delay is decomposed into a sum of a polytopic term and an uncertain bounded term. Sufficient conditions to design a dynamic output feedback controller depending on estimate of the time-varying delay are proposed as LMIs. An illustration shows how our methodology enlarges the design techniques of the literature.

FTC Structures with Virtual Actuators and Dynamic Output Controllers

“…To achieve the desired nominal control loop objectives, biproper dynamic output controllers (BP DOC) are used in FTC structure and the approaches which allow to convert BP DOC synthesis into an linear matrix inequality (LMI) optimization problem are used. Reflecting the fact that just the static output feedback stabilization is a concave-convex problem (Astolfi and Colaneri (2004)), unfortunately, the DOC synthesis problem is hard to be converted into a convex problem in general (Jungers et al (2013), Krokavec and Filasová (2013)). The main goal was to analyze robustness of FTC structures based on VAs and BP DOCs with respect to single actuator faults and transient overshoots as a results of the virtual actuator switch.…”

Observer-Based Controller Design for a Discrete Networked Control System with Random Delays

“…Among these factors, network-induced time delays have great influence on degradation of NCS performance [4,5]. The stability of NCSs had been previously investigated [6][7][8], in which network-induced delays were reported as a time-varying form with a boundary.…”

H∞ Control of Continuous-Time Linear Systems Using Dynamic and Static Output Controllers

“…Because of the importance of this kind control systems considerable attention was dedicated to the study of suitable design methods. Reflecting the fact that the static output feedback stabilization is generally a concave-convex problem [5], the design conditions based on a solution of various mutually coupled matrix equations or coupled linear matrix inequalities (LMI) was discussed in [6] or, more completely, in [7,8]. However, unfortunately, the output feedback controller synthesis problem is hard to be converted into a feasible task.…”