Control Design for Linear Systems with Commensurate Delays Via Coordinate Transformation: A Single-Input Case Study

https://doi.org/10.58571/CNCA.AMCA.2024.058

Resumen: The design of control for systems with commensurate delays with single input is proposed. The key to the design is to find a similarity transformation such that, in the new coordinates, all delays are aligned in the same input channel. A necessary and sufficient condition is established for transforming the system into the desired controllable form. Moreover, our analysis demonstrates that incorporation of a stable asymptotic observer in the state feedback does not impair stability of the system.

¿Cómo citar?

Guadarrama, J.L. & Bejarano, F.J. (2024). Control Design for Linear Systems with Commensurate Delays Via Coordinate Transformation: A Single-Input Case Study. Memorias del Congreso Nacional de Control Automático 2024, pp. 338-343. https://doi.org/10.58571/CNCA.AMCA.2024.058

Palabras clave

Commensurate delays, controllable canonical form, control design, relative degree

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