An LMI-Based Proportional-Derivative Observer for Singular Linear Systems

https://doi.org/10.58571/CNCA.AMCA.2024.052

Resumen: This paper proposes a solution to design an observer for singular linear systems in terms of linear matrix inequalities whose solvability is verified in polynomial time. The observer under design shares the idea of a Luenberger one but adding the derivative of the outputs, which leads to the regularization of the error system. The direct Lyapunov method is employed for designing both the proportional and derivative gains and thus guaranteeing the stability of the error system. Two examples illustrate the effectiveness of the proposal.

¿Cómo citar?

Ortiz, N., Santillán, R. & Estrada Manzo, V. (2024). An LMI-Based Proportional-Derivative Observer for Singular Linear Systems. Memorias del Congreso Nacional de Control Automático 2024, pp. 303-307. https://doi.org/10.58571/CNCA.AMCA.2024.052

Palabras clave

Observers, Descriptor Systems, Lyapunov Method, Linear Matrix Inequality, Singular Systems, Pantelides algorithm

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