Adaptive Systems with Reduced Models by Petros A. Ioannou, Petar V. Kokotovic

By Petros A. Ioannou, Petar V. Kokotovic

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7] B. D. O. Anderson and C. R. , "On Reduced Order Adaptive Output Error Identification and Adaptive IIR Filtering," IEEE Trans. on Automatic Cont-~ol3 Vol. AC-27, August 1982.

111) D(t) - FD(t) + Hn(t). 7). The adaptive observer [ii] for observing the state x and estimating p* when D(t) ffi0 is reviewed below. 116) c z^x. 118) where G = GT> 0 and el A= ~_y. 119) d~ -- -GMT (t) ccTe. 120) Our use of e to denote both exp and the state error is obvious from the context and should cause no confusion. 13) where FT - [-AT 0T], Q T [eT(0),0T], R = H = "-M(t)GMT(tlcc T A n (t) _ ~ Z (t) cC r M(t) + [ly,lu]] . 1211 0 In this case the dominant richness appears indirectly as a sufficient condition for 0 < kll < f 0 t+T MT(T)ccTM(T)dT < k21 for all t>0.

Report, Univ. of Illinois, Urbane, IL, 1975. [4] P. V. Kokotovic, "A Riccati Equation for Block-Diagonalization of lllConditioned Systems," IEEE Trc~8. on Automatic ControZ, December 1975. [5] I. D. Landau, Ad~ptive Control: New York, 1979. [6] B. D. O. Anderson and C. R. , "Exponential Convergence of Adaptive Identification and Control Algorithms," Univ. of Newcastle, Dept. of Electrical Engineering Technical Report, April 1980. [7] B. D. O. Anderson and C. R. , "On Reduced Order Adaptive Output Error Identification and Adaptive IIR Filtering," IEEE Trans.

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