~. Èeifle-nt-[-f and . Vi, ma is il es t de plu s cai r q ue ce croc het a un e composan te n ull e su r T F ( ca r le co efficie nt de !;; (c 'est 1) ne dépend pas de se et a donc une dé riv ée n ull e selo n P), ? Il s ( 2 .25) car si bien q u'il est en fa it dans y

I. Nous-allons-reprendr-e, démons tra tion c" i·d t's.~lIl1 (t h;'ort-mMi 4.1 et 4.3), le cha nge ment essentiel éta nt q ue l'on a mai ntenant

T. Heref-oee and W. , t) is positive deeeeasin g, T his, to ge t he r with (B A3) an d (B.29), yi eld s: (R'6, p.48

J. Uo, Ielm-seTZPPZTe)t + ]o'"xlel"'-l !":r::'! (we use Shwar ta iuequal ity and t he fac t

S. Theil, m + l )W a nd ~ ::5 -:b~V , ( B.48) im plies the seco nd part of, p.5

V. Arnold, Equations différentielles ordinaires Mir, 1974.

G. Bastin-/-g and . Campion, Indirect adaptive control of linearly parametrized nonlinear systems 3rd, IFAC Symp. on Adapt. Syst. in Cont. and Sign. Proc, 1989.

G. Bastin-/-g and . Campion, Indirect adaptive state feedback control of linearly parametrized nonlinear systems Internal report No AP89, 1989.

G. Bastin-/-m and . Gevers, Stable Adaptive Obseroers for Time-Varying Nonlinear Systems IEEE, AC, vol.33, 1988.

W. M. Boothby, Global Feedback Linearisation of Locally Linearisable Systems in : Aigebraic and geometrie methods in Nonlinear Control Theory, D. Riedel publishing company, 1986.

H. Brezis, Opérateurs maximaux monotones North holland, 1973.

G. Campion-/-g and . Bastin, Lyapunov design of an adaptive eziernal linearization Feedback control fOT' manipulators Analysis and optimization of systems, pp.182-186, 1986.

H. G. An-chae-/-c, . M. Atkeson-/-j, and . Hollerback, Estimation of inertial parameiers of rigid body links of manipulators, p.24, 1985.

B. Charlet, Stability and robustness for nonlinear systems decoupled and linearized by feedback, Systems & Control Letters, vol.8, issue.4, pp.367-374, 1987.
DOI : 10.1016/0167-6911(87)90104-6

B. D. Levi and . Ne, Non-lin ear Control and High-gain A pproQch e, for the Contro l of a R obot A rm : New R eJult, and Compa rison s, 10 1 1> tri e nn al IFAC co ngress Munich , pre print s, pp.308-313, 1987.

). W. Hi, . M. Dayawansa-/-w, D. L. Boothb-y-1, and . Elliot-t, fate and f eed abck equiv afenc e of n o nli'le<~ r , y, lem , . Syste ms & Control Le t ter s, pp.229-252, 1985.

L. G. Cler-get-1f, . Er, and . Main, Opérateu r.Jrat ionnel, p.79

F. Rom-ent, Com ma nde digitale d' un oma r/ iue ur act if T h èse de doct eur i ngénieur, Eecl e Na t, 1984.

J. G. Awt-ii-rop and C. , Time S~ lf-Tun ing Con trol, 1986.

2. G. Go, . Q. Dw-in-/-d, . ~i, and . Yne, O rd iua ry Differen tial Equa tions A Param eter esu. m ation P er, pp.57-70

G. C. Sin, Adaptive Filteri ng Predid ion and Cont roi. Pr ent ice-Hall, p.984

C. J. Ha-r-ris and /. J. , ~lI L t:S 1 E,t im at ion and I~edba ek i n Linear Tim e. var ying System . : a det erm iniJtic th eorll SIAM, J ou rn on Cont rol, vol.1, pp.3-02304, 1975.

M. K. Ung-/-b, . Wom, and . Ack, Stability Analy ' iJ of a DiJcre/e_Tim e A daptive Control A/g ori /hm Having a Polynom ial, pp.28-40, 1983.

V. Sll, M. K. Anth-am, S. Le-el-a, and I. , VoU : Ordinary Diff eren tiai E quation, Aca de mie press, 1969.

Y. D. Landau and A. Control, The Mode! Reference Approach. Dekker, 1979.

G. and K. S. Narendra, An Adaptive Observer and Identifier for a Linear System IEEE AC, pp.5-96, 1973.

N. W. Mac and . Lahan, Ordinary Differentiai Equations in Engineering and Physical Sciences Clarendon Press, 1956.

R. H. Middleton-1g and . Goodwin, Adaptive Computed Torque Control fol' Rigid Links Manipulaiors Systems & Control Letters, pp.9-16, 1988.

K. and N. 1. Arapostatis, A Model Reference Adaptive Control Scheme for Pure Feedback Nonlinear Systems IEEE, 1987.

K. S. Narendra-1l and . Valavani, A Comparison of Lyapunov and Hyperstability Approaches ta Adaptive Control of Continuous systems IEEE, pp.243-247, 1980.

S. Nicosia-1p, TOMEI , Model Refe1'ence Adaptive Control Algorithms for Industrial Robots, Automatica, pp.635-644, 1984.

J. Pomet, A Counicr-eeample io the Rolnutncss of the PropertyAny Solution is Bounded, 1987.

J. Pomet-1l and . Praly, Indirect Adaptive Nonlinear Regulation: Prediction error from the Lyapunov Equation, 1989.

B. Ib, L. S. Og-r-a-p-hie481-s, . Sast-ry-/-m, and S. Bo-n, trol; Sta bilit,l. convergence, Con

S. Sast-ry-1, A. Ism, and O. , AJap /ive contr ol of lineariza Me, Memora nd um UCBerkeleyJ ERL M87/53, 1988.

J. E. Slü and T. , A dap tive Afanipll lalo r Gemi roi: A CaJe Study IEEE , A C 33 No I l, pp.995-1003, 1988.

J. E. Slot, /. J. Coets, and . Ee, Adapti ve ,l iding contro1er Jynthe, ü for non-finear, pp.1631-1652, 1986.

J. J. Slotine-1s, . Sast, and . Ry, Trocking contro l of svon-linear Jy&/cm& tu ing & /idi ng &v.r /ac el, with applicati on&ta robot m anipv.lator&, Int . J . Cont rol, pp.38-40

D. G. Taylo-r, Param e/cr aJapt ive eon/ro I/or a clau of non-lin ear I YI, 1987.

G. Taylor and P. V. , KOKOTOVIC 1 R. MARI NO 1 1. KANELLAKüPü ULOS , A daptive R egulation of Nonlinear Sy ./ em . with a con trol with UnmoJel eJ DY'lam icJ IEEE, pp.405-429, 1989.