Global robust output regulation for a class of nonlinear systems

Asymptotic attenuation and rejection for a class of cascade systems with general periodic disturbances

“…Anti-disturbance control has been a key topic in control system fields in the past decade. At present, many elegant approaches have been proposed to attenuate and reject periodic disturbances, [3][4][5][6][7] including the non-linear disturbance-observer-based control (NDOBC) method, [8][9][10][11][12][13] non-linear output regulation theory [14][15][16] and adaptive control scheme. [17][18][19][20][21][22] The key idea of many of these methods is to use the desired feedforward input terms to cancel periodic disturbances.…”

Output Regulation of the Simplified Lorenz Chaotic System

“…The output regulation problem for nonlinear control systems has been studied extensively by various scholars in the last two decades [4][5][6][7][8][9][10][11][12][13][14]. In [4], Mahmoud and Khalil obtained results on the asymptotic regulation of minimum phase nonlinear systems using output feedback.…”

“…In [11], Xi and Dong obtained results on the global adaptive output regulation of a class of nonlinear systems with nonlinear exosystems. In [12][13][14], Serrani, Isidori and Marconi obtained results on the semi-global and global output regulation problem for minimum-phase nonlinear systems. In [15][16][17], we derived output regulation results for some three-dimensional chaotic systems using regulator equations.…”

Geometric characterization on the solvability of regulator equations

“…has drawn much attention (see Byrnes, Priscoli, Isidori, & Kang, 1997;, 2005a, 2005bCheng, Tarn, & Spurgeon, 2001;Huang, 2001Huang, , 2003Huang & Lin, 1995;Huang & Rugh, 1992a, 1992bIsidori, 1997;Knobloch, Isidori, & Flockerzi, 1993;Marconi & Isidori, 2000;Marconi, Isidori, & Serrani, 2004;Serrari & Isidori, 2000;Zheng, Zhang, & Evans, 2000) since the publication of the celebrated paper (Isidori & Bynes, 1990) by geometric method, where x(t) ∈ R n , w(t) ∈ R q , u(t) ∈ R m , e(t) ∈ R p , F(0, 0, 0) = 0,s(0) = 0,h(0, 0) = 0. Under some necessary hypotheses, Isidori and Bynes (1990) and Isidori (1995) transfer the output regulation problem into the solvability of the following regulator ଁ This paper was not presented at any IFAC meeting.…”