INVESTIGADORES
HAIMOVICH Hernan
congresos y reuniones científicas
Título:
Conditions for the genericity of feedback stabilisability of discrete-time switching systems based on Lie-algebraic solvability
Autor/es:
HERNAN HAIMOVICH; JULIO H. BRASLAVSKY
Reunión:
Conferencia; 1st Australian Control Conference; 2011
Resumen:
This paper addresses the stabilisation of switching
discrete-time linear systems with control inputs under arbitrary
switching, based on the existence of a common quadratic
Lyapunov function (CQLF). While stabilising feedback gains
may be directly designed by solving linear matrix inequalities
(LMIs), LMI-based designs in general do not provide information
about closed-loop system structure. The authors have
begun a line of work dealing with control design based on the
Lie-algebraic solvability property. In contrast to LMI-based
design, although at the expense of generality, control design
based on such Lie-algebraic property seeks to assign closed-loop
structure approximating that required to satisfy Lie algebraic
conditions that guarantee existence of a CQLF. The present
paper expands on earlier work by deriving conditions under
which the closed-loop system can be caused to satisfy the Lie-algebraic
solvability property generically, i.e. for almost every
set of system parameters, furthermore admitting straightforward
and efficient numerical implementation.