Observer-Based Control of Linear Systems with Mismatched Input and Output Delays
For control engineers dealing with systems having mismatched input and output delays, this work provides a systematic stabilization method, though it is an incremental extension of existing LMI and delay-compensation techniques.
This paper addresses stabilization of linear systems with mismatched input and output delays, proposing a two-stage control framework using LMI-based state-feedback and novel time-delay compensators. The method handles independent output and input delays, enabling direct estimation of the delayed state-feedback control law.
This paper investigates the stabilization of linear systems subject to simultaneous, mismatched time delays in both the control input and system output vectors. The proposed control framework is developed in two primary stages. First, an asymptotically stabilizing delayed state-feedback controller is synthesized by leveraging recent advancements in Linear Matrix Inequality (LMI) techniques. Second, this controller is realized using novel time-delay compensators \cite{trinhnam26}. This architecture successfully accommodates an output measurement delay $τ_y$ that is independent of the input delay $τ_u$, enabling direct estimation of the delayed state-feedback control law. The proposed methodology is then extended to target output controllers to account for simultaneous, mismatched time delays in both the control input and system output vectors.