INVESTIGADORES
HAIMOVICH Hernan
congresos y reuniones científicas
Título:
Feedback stabilization of switched systems via iterative approximate eigenvector assignment
Autor/es:
HERNAN HAIMOVICH; JULIO H. BRASLAVSKY
Reunión:
Conferencia; 49th IEEE Conference on Decision and Control; 2010
Resumen:
This paper presents and implements an iterative
feedback design algorithm for stabilisation of discrete-time
switched systems under arbitrary switching regimes. The algorithm
seeks state feedback gains so that the closed-loop switching
system admits a common quadratic Lyapunov function
(CQLF) and hence is uniformly globally exponentially stable.
Although the feedback design problem considered can be solved
directly via linear matrix inequalities (LMIs), direct application
of LMIs for feedback design does not provide information
on closed-loop system structure. In contrast, the feedback
matrices computed by the proposed algorithm assign closedloop
structure approximating that required to satisfy Lie-algebraic
conditions that guarantee existence of a CQLF. The
main contribution of the paper is to provide, for single-input
systems, a numerical implementation of the algorithm based on
iterative approximate common eigenvector assignment, and to
establish cases where such algorithm is guaranteed to succeed.
We include pseudocode and a few numerical examples to
illustrate advantages and limitations of the proposed technique.