Output feedback control for uncertain linear systems with faulty actuators based on a switching method

Abstract

Dimirovski, Georgi M. (Dogus Author)This paper investigates the problem of output feedback stabilization for a class of uncertain linear systems with faulty actuators via the synergy with a switching strategy. When actuators suffer a 'destabilizing failure' and the never-faulty actuators cannot stabilize the given system, the closed-loop exponential stability can still be achieved via the average dwell-time scheme employing an arbitrary switching signal. The prerequisite condition found requires the ratio between the two lapse times, when the system is devoid of faulty actuators and when it is not so, to be less than a certain specified constant. Then the stabilizing output feedback controls are designed via the technique of linear matrix inequalities. The illustrative example and the respective simulation results demonstrate the feasibility and effectiveness of the proposed design synthesis

Reliable stabilization and H<inf>&#x221E;</inf> control for switched systems with faulty actuators: An average dwell time approach

“…When ω(t) = 0, (12) and (13) imply (31) and (32) and thus exponential stabilizability follows from Theorem 1. Next, we show that the closed-loop system has finite L 2 -gain.…”

“…These design methods of existing reliable control do not work, when actuators suffer a "destabilizing failure"-the never-faulty actuators are not assumed to be able to stabilize the considered system. For this case, [13] dealt with exponential stability for a class of linear systems with faulty actuators using switching control technique.…”

Fault detection and isolation for discrete-time switched linear systems based on average dwell-time method

“…Until date, there are many methods to obtain stability criterions and robust performances for switched systems. Especially, the average dwell-time (ADT) approach has been acknowledged to be more flexible and efficient in the stability analysis of switched systems (Zhang, Boukas, and Shi 2008;Wang, Zhao, Dimirovski, and Liu 2009;Ding and Yang 2010).…”

Exponential stability of hybrid switched nonlinear singular systems with time-varying delay

“…Since delays are often the main cause of instability and poor performance of dynamic systems, how to deal with time-delay has been also a hot topic in the stability analysis of switched time-delay systems. Several useful results have been reported in the literature such as the stability and stabilization analysis [7,8], observer-based tracking problem [9], output feedback control [10], H N control design and filtering [11][12][13][14], exponential stability with stable and unstable subsystems [15], and exponential stability of delayed neural networks [16].…”