Robust output feedback control of 2D discrete systems with actuator saturation and time-varying delay

Abstract

An observer-based dynamic output feedback H N controller is proposed for a class of two-dimensional (2D) uncertain discrete systems described by the Roesser model with actuator saturation, time-varying state delay and external disturbances. First, a delay-dependent Lyapunov stability condition is derived in linear matrix inequality (LMI) form which uses the reciprocal convex approach and H N disturbance attenuation performance is also analysed. Secondly, a convex hull is adopted to represent the saturation nonlinearity. The H N control synthesis for uncertain 2D discrete systems is described by a Roesser model subjected to actuator saturation and external disturbances using an observer-based dynamic output feedback approach. Some practical examples are provided to highlight the usefulness of the presented results.

A Survey on H∞ Control-Based Output Feedback Techniques

“…Controlling through the output feedback technique is most appropriate in such situations. This has led many studies [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] to investigate and analyze output feedback techniques for 2-D discrete systems.…”

An anti-windup control strategy for discrete time-delay system based on triple Lyapunov functional

“…Concerning available results related to this work, Negi et al (2012) have designed an anti-windup compensator for linear time-varying delay system with saturation but not considered either triple Lyapunov or disturbance. Although stability analysis of discrete delayed system has been analyzed by Pal and Negi (2017) and Pal et al (2020), the approach to tackle saturation via anti-windup method and for mitigating different disturbances (like step) is not considered in the above papers. To bridge this gap, the present work is motivated by aforesaid papers to take up the problem of a discretized delayed system with anti-windup and different types of disturbances such as exponential decaying and step-load disturbance for stability analysis of the system.…”

Design of nonlinear anti-windup compensator for time-delayed systems based on triple Lyapunov Functional

“…During the last decade, many researchers have given their attention towards the study on time delay system for achieving desired closed-loop performance in addition to the stability analysis (Bliman, 2002; He et al, 2007; Kolmanovskii et al, 1999; Richard, 2003; Yan et al, 2010). Many results have been reported in recent years; see for example Pal and Negi (2017, 2018a, b) for stability of control systems subjected to saturation nonlinearity and time-delay. But very few works are available on stabilization on nonlinear systems with time-delay.…”