LMI-Based Impulsive Observers for Sampled-Output Linear Descriptor Systems

https://doi.org/10.58571/CNCA.AMCA.2025.014

Resumen: This paper introduces an impulsive observer for linear differential-algebraic equations systems with outputs available only at discrete sampling instants. By exploiting the Kronecker decomposition of the pencil (E,A) and modeling each sample as an impulse, we derive a discrete-time error recursion. A Lyapunov-based LMI framework is then formulated to enforce Schur-stability of the impulsive error. The resulting convex synthesis directly computes the observer gain, guaranteeing exponential convergence of the continuous-time estimation error. Numerical examples illustrate convergence behavior of the proposed impulsive observer.

¿Cómo citar?

Álvarez, J. & Castillo-Toledo, B. (2025). LMI-Based Impulsive Observers for Sampled-Output Linear Descriptor Systems. Memorias del Congreso Nacional de Control Automático 2025, pp. 80-85. https://doi.org/10.58571/CNCA.AMCA.2025.014

Palabras clave

Impulsive observer, DAE systems, Lyapunov, Sampled output, Linear matrix inequalities.

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