Py. Park et T. Kailath, GUARANTEED LEVEL-GAMMA H-INFINITY CONTROL IN UNCERTAIN LINEAR-SYSTEMSVIA LINEAR MATRIX INEQUALITIES, International Journal of Control, 65(6), 1996, pp. 913-924
Citations number
10
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
In this paper, we solve guaranteed level-gamma H-infinity control prob
lems in uncertain linear systems. In time-varying systems, we provide
a time-varying nonlinear differential equation for these problems, whi
ch can be solved via differential equation solvers. In time invariant
systems, we present linear matrix inequalities (LMIs), which allow us
to overcome the limitations of the existing algebraic Riccati equation
(ARE) formulations, where one can hardly find their solutions. Since
LMI problems are always convex, one can solve them via convex optimiza
tion techniques, such as interior-point methods, and can easily solve
them even if additional constraints are considered. As a result, we di
rectly handle the optimal guaranteed-level H-infinity control problem
as well as a guaranteed level-gamma H-infinity control problem with th
e maximal stability margin. Finally, we present size-reduced LMIs.