Abstract
In this work, we consider the design problem of a full-order and also reduced-order unknown input observers for a particular class of time-delay systems. Asymptotic stability and existence conditions for the designed observers are established. The quadruple-tank process is used as a benchmark to prove the efficiency of the proposed algorithms.
Highlights
Time delays emerge in many industrial applications such as hydraulic systems, automotive applications, and telecommunication networks [1,2,3,4,5,6,7]
It is recognized that delays are the key sources of instability and poor dynamics [8]
Time delays can appear in either the state variables, control inputs, or measurement outputs and the negligence of time delays in the controller design can lead to undesirable dynamics such as oscillations, bifurcations, chaos dynamics, and instability [8]
Summary
Time delays emerge in many industrial applications such as hydraulic systems, automotive applications, and telecommunication networks [1,2,3,4,5,6,7]. Time delays can appear in either the state variables, control inputs, or measurement outputs and the negligence of time delays in the controller design can lead to undesirable dynamics such as oscillations, bifurcations, chaos dynamics, and instability [8]. In this trend, stabilization of linear systems with delays has obtained a huge interest (see, for example, recent works [13,14,15] and related references). This issue of theoretical and practical importance has been remained a challenging problem for systems subject to unknown inputs, uncertainties, and input saturation
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