Stability of Time-Delay Systems
Stability of Time-Delay Systems
Stability and Stabilization of Time-Delay Systems (Advances in Design & Control) (Advances in Design and Control)
Brief paper: Near optimal interval observers bundle for uncertain bioreactors
Automatica (Journal of IFAC)
Brief paper: Interval observers for linear time-invariant systems with disturbances
Automatica (Journal of IFAC)
Nonlinear adaptive control for bioreactors with unknown kinetics
Automatica (Journal of IFAC)
Output stabilization of time-varying input delay systems using interval observation technique
Automatica (Journal of IFAC)
Robust interval observers and stabilization design for discrete-time systems with input and output
Automatica (Journal of IFAC)
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This paper focuses on the analysis and design of families of interval observers for linear systems with a pointwise delay. First, it is proved that classical interval observers for systems without delays are not robust with respect to the presence of delays, no matter how small delays are. Next, it is shown that, in general, for linear systems with delay, the classical interval observers endowed with a pointwise delay are unstable. A new type of design of interval observers enabling circumvention of these obstacles is proposed. It provides framers that incorporate distributed delay terms. The proposed interval observers are assessed through a nonlinear biotechnological model.