We study the problem of semiglobally stabilizing uncertain nonlinear system z = Az + Bu + p(1)(z,u,t)u, y =z + p(2)(z,u,t)u, with (A, B) in Brunowski form. We prove that if p(1)(z, u, t)u and p(2)(z, u, t)u are of order greater than 1 and 0, respectively, with "generalized" dilation delta (1)(z, u)=(l(1-n) z(1),.... l(-1)z(n-1),z(n), lu) and uniformly with respect to r, where z(i) is the ith component of z, then we can achieve semiglobal stabilization via arbitrarily bounded linear measurement feedback. (C) 2001 Elsevier Science B.V. All rights reserved.
Generalized dilations and the stabilization of uncertain systems via measurement feedback / Battilotti, Stefano. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 43:2(2001), pp. 95-100. [10.1016/s0167-6911(00)00116-x]
Generalized dilations and the stabilization of uncertain systems via measurement feedback
BATTILOTTI, Stefano
2001
Abstract
We study the problem of semiglobally stabilizing uncertain nonlinear system z = Az + Bu + p(1)(z,u,t)u, y =z + p(2)(z,u,t)u, with (A, B) in Brunowski form. We prove that if p(1)(z, u, t)u and p(2)(z, u, t)u are of order greater than 1 and 0, respectively, with "generalized" dilation delta (1)(z, u)=(l(1-n) z(1),.... l(-1)z(n-1),z(n), lu) and uniformly with respect to r, where z(i) is the ith component of z, then we can achieve semiglobal stabilization via arbitrarily bounded linear measurement feedback. (C) 2001 Elsevier Science B.V. All rights reserved.| File | Dimensione | Formato | |
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