Decentralized H_∞ control

Decentralized H/sub ∞/-controller design for nonlinear systems

“…The results given in this paper are extensions of existing results on the linear decentralized H1-control problem [13], [8] and nonlinear central H 1 -control problem [4]. The paper is organized as follows.…”

“…2() = T 21 (1) T 22 (2) 111 T 2q (q) T 2 R q (8) g 1 () = diagfg 1 ( 1 ); g 1 ( 2 ); 11 1;g 1 ( q )g (9) h2() = diagfh21(1); h22(2); 1 11;h2q(q)g (10) f() = f(1) + g1(1)1(1) + g2(1)2(1) 0 g2(1) 2() f(2) + g1(2)1(2) + g2(2)2(2) 0 g2(2) 2()…”

“…Two methods will be presented. The first method makes use of the centralized observer design result in [4], and the idea is similar to that of Paz [8] for linear local observers. But our result here is for nonlinear systems.…”

“…Recently, the decentralized H 1 -control problem for linear systems has been considered in [7], [8], [10], and [13].…”

“…In [8], another sufficient condition for the decentralized H 1 -control problem is derived, under which the decentralized solution can be constructed from the central controller solution from the standard H 1 -control theory in [2].…”