A reduced-order observer-based control scheme stabilizes target outputs of linear time-delay systems with mismatched input, state, and output latencies by projecting dynamics onto the target output subspace.
On Time-Delay Compensators for Delayed-Output Systems
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abstract
This paper advances the practical utility of functional observer theory by addressing sensing latency in linear time-delay systems. We address the estimation of the functional $z(t)=Fx(t)$ in cases where the measurement delay $h$ is independent of the internal state delay $\tau$, with a specific focus on the condition $0 < h < \tau$. To compensate for sensing lags, we propose a functional observer structure characterized by multiple internal delays and an augmented architecture. Algebraic existence conditions are established alongside a constructive synthesis procedure. By incorporating an additional delayed measurement vector, we demonstrate that this approach significantly expands the design space and is applicable to a wider class of systems with larger state and output delays.
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eess.SY 2years
2026 2representative citing papers
Design of delayed functional observers for estimating generalized delayed control laws to stabilize time-delay systems with mismatched input and output delays.
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A reduced-order observer-based control scheme stabilizes target outputs of linear time-delay systems with mismatched input, state, and output latencies by projecting dynamics onto the target output subspace.
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Design of delayed functional observers for estimating generalized delayed control laws to stabilize time-delay systems with mismatched input and output delays.