G-2007-99
State Feedback Controller Design of Stochastic Singular Systems with Discontinuities
Jamila Raouf and El-Kébir Boukas
In this paper, the problem of
controller design for Markovian singular
systems with discontinuities (MSSD) is investigated. Sufficient
conditions to guarantee that the unforced system is regular,
impulse-free and stochastically stable in mean square sense with
an
norm bound constraint, are provided. The
derived conditions are expressed in terms of a set of linear
matrix inequalities (LMIs), which can be solved by using existing
linear algorithms. Also, based on this result, a memoryless
State feedback control which ensures the
piecewise regularity, the absence of impulsive behavior and the
stochastic stability in mean square sense of the closed-loop
systems, is proposed by combining the LMI technique, the cone
complementarity approach and the sequential linear programming
matrix method (SLPMM). A numerical example is given to
demonstrate the effectiveness of the proposed methods.
Published December 2007 , 21 pages