Yy. Cao et J. Lam, A computational method for simultaneous LQ optimal control design via piecewise constant output feedback, IEEE SYST B, 31(5), 2001, pp. 836-842
Citations number
12
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
This paper is concerned with simultaneous linear-quadratic (LQ) optimal con
trol design for a set of LTI systems via piecewise constant output feedback
. First, the discrete-time simultaneous LQ optimal control design problem i
s reduced to solving a set of coupled matrix inequalities and an iterative
LMI algorithm is presented to compute the feedback gain. Then, simultaneous
stabilization and simultaneous LQ optimal control design of a set of LTI c
ontinuous-time systems are considered via periodic piecewise constant feedb
ack gain. It is shown that the design of a periodic piecewise constant feed
back gain simultaneously minimizing a set of given continuous-time performa
nce indexes can be reduced to that of a constant feedback gain minimizing a
set of equivalent discrete-time performance indexes. Explicit formulas for
computing the equivalent discrete-time systems and performance indexes are
derived. Examples are used to demonstrate the effectiveness of the propose
d method.