CIFASIS 20631
CENTRO INTERNACIONAL FRANCO ARGENTINO DE CIENCIAS DE LA INFORMACION Y DE SISTEMAS
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
On componentwise ultimate bound minimisation for switched linear systems via closed-loop Lie-algebraic solvability
Autor/es:
RAHMAT HEIDARI; MARÍA M. SERON; JULIO H. BRASLAVSKY; HERNAN HAIMOVICH
Lugar:
Ciudad del Cabo
Reunión:
Congreso; 19th IFAC World Congress; 2014
Institución organizadora:
International Federation of Automatic Control
Resumen:
We present a novel state feedback design method for perturbed discrete-time switched linear systems. The method aims at achieving (a) closed-loop stability under arbitrary switching and (b) minimisation of ultimate bounds for specific state components. Objective (a) is achieved by computing state feedback matrices so that the closed-loop A matrices generate a solvable Lie algebra (i.e. admit simultaneous triangularisation). Previous results derived an iterative algorithm that computes the required feedback matrices, and established conditions under which this procedure is possible. Based on these conditions, objective (b) is achieved by exploiting available degrees of freedom in the iterative algorithm.
