Adaptive Control System Part 3 ppsx

... 1 2:24 Adaptive Control Systems 33 Theorem 5.1 The direct adaptive control system satisfying assumptions (A1)± (A3) with the adaptive controller described in equations (2.19)±(2. 23) and (2.11) ... Automat. Contr., Vol. 39 , 233 0± 233 4. [20] Goodwin, G. C. and Sin, K. S. (1981) `Adaptive Control of Nonminimum Phase Systems', IEEE Trans. Automat. Contr., Vol. AC-26...

Ngày tải lên: 10/08/2014, 21:22

... defined by Eq. (3. 13) together with Eqs. (3. 5)— (3. 12). Corollary 3. 2 If b = 1, 0,2 2 3 ' ==+< wc M ML , then the adaptive controller defined by Eqs. (3. 5)— (3. 13) can asymptotically ... consequently system (3. 1) becomes a linear-in-parameter system 11 ++ + + = tttt wuy θφ (3. 15) Adaptive output regulation of unknown linear systems with unknown exosystems...

Ngày tải lên: 21/06/2014, 19:20

... c"m 2  t   2 1 :31  y t   2  c  c"m 2  t   2 1 :32  which together with (1 .30 ) imply that m f tc  c"m 2  t   2 1 :33  Now squaring both sides of (1 .33 ) we obtain m 2 f tc ... of the 8 Adaptive internal model control equivalence approach of adaptive control was used to combine a robust adaptive law with robust internal model control...

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... Model Reference Adaptive Control Using Only Input and Output Measurement: Part 1', Int. J. Control, Vol. 49, 33 9±419. Adaptive Control Systems 61 system is considered: x t1  31 À20 45 x t  1 À1:5 45 u t  ... Control, Vol. 31 , 1 033 ±10 43. [16] Ioannou, P. A. and Tsakalis, K. S., (1988) `The Class of Unmodeled Dynamics in Robust Adaptive Control& apos;, Proc....

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... proof of Theorem 3. 1 that the constant M 1 in the bound (5.42) is proportional to the total number of switchings made by the controller Adaptive Control Systems 93 optimal switching controller (5.48), ... conditions: Adaptive Control Systems 89 localizaton ind  Algorithm B is used. We have A 1 f 1 ; 2 ; 3 ; 4 g; A 2 f 1 ; 2 ; 3 ; 4 ; 5 g therefore, ind  ! 2. We n...

Ngày tải lên: 10/08/2014, 21:22

... (1989) Stable Adaptive Systems. Prentice- Hall. [31 ] Nussbaum, R. D. (19 83) `Some Remarks on a Conjecture in Parameter Adaptive Control& apos;, Systems and Control Letters, 3, 2 43 246. [32 ] Peng, ... Switching Adaptive Control of Linear Multivariable Systems', Proceedings of the 31 st Conference on Decision and Control, 1 731 ±1 736 . Adaptive Control Systems 117...

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... virtue of (6. 73) and (6.75), we have  V À1 À z 4 À  k À 3 2 4 =3  1 =3   4 =3  yv  'y;   À  T À À1    6:79 Adaptive Control Systems 137 154 Adaptive nonlinear control: ... gives  V Àz 4  2z Àk 4 3  yv À1 Àz 4 Àk À 3 2 4 =3  1 =3  4 =3  yv 6:75 where 27 16k 3 <<1. Therefore, system (6.72) in closed loop with output...

Ngày tải lên: 10/08/2014, 21:22

... 1 1;tÀ1 1;t 1;t1 1;t2 1;t 3 2;tÀ1 2;t 2;t2 2;t2 2;t 3 3; tÀ1 3; t 3; t1 3; t2 3; t 3 k  t À1 k  tk t 1 k  t 2 k  t 3 Figure 7.2 A graphic representation ... Autom. Contr., 37 , 138 6± 138 8. [30 ] Mareels, I. and Hill, D. J. (1992) `Monotone Stability of Nonlinear Feedback Systems', J. Math. Systems Estimation Control, 2, 275±291. [31 ]...

Ngày tải lên: 10/08/2014, 21:22

... (8 .39 ) and (8.40), with (8. 13) and (8 .37 ) we get (8 .38 ).This proves by Theorem 3. 1 that V 1 t; e; ~ ;  is an atclf for system (8 .33 ), or, an aclf for (8 .34 ), and by Corollary 3. 1 the adaptive ... A. A. (1965). Optimal Control Systems, Academic Press, NY. Adaptive Control Systems 1 83  x  f xFx  gx    u y  hx 8 :33  is also solvable. Proof Sinc...

Ngày tải lên: 10/08/2014, 21:22

... linear adaptive estimation methods similar to Simulation 2 were used to derive closed loop control. The resulting Adaptive Control Systems 239 (a) e (rad) u (N) e F (N) (b) (c) Figure 9.6 Linear adaptive ... problem, an adaptive controller where  0 ,  1 , h and e are unknown may be necessary. 9.5.2.1 Adaptive control based on nonlinear parametrization The applicability of th...

Ngày tải lên: 10/08/2014, 21:22