New PDF release: Advances in Theory and Applications : System Identification

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By Cornelius T. Leondes

ISBN-10: 0120127261

ISBN-13: 9780120127269

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Additional info for Advances in Theory and Applications : System Identification and Adaptive Control, Part 2

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Therefore (1), (9), (13), and (17) are all models by our definition, provided that specific values (rational functions or real-valued parameters or polynomials) are put into the oper­ ators G(z), H(z), A, B, C, K, ... , (10)]. We can therefore introduce the following definition. Definition 2. Let M and M be two models relating an input vector Tu _e to an output vector y, and let {G ( 1 ) (z) , Η ^ (z) } and {G^ 2) (z) , H (2) (z)} be the corresponding transfer functions. models are equivalent [we write M G (1) (z) = G (2) (z) and H (1) (z) = H = M (2) Then the two ] if and only if (z).

M. WONHAM, "Probing Signals for Model Reference Identification," IEEE Trans. Autom. Control Aa-22, 530-536 (1977). 13. B. C. KUO, "Digital Control Systems," Holt, New York, 1980. 14. C. T. CHEN, "One-Dimensional Digital Signal Processing," Dekker, New York, 19 79. 15. P. DATZ, "Digital Control Using Microprocessors," PrenticeHall, Englewood Cliffs, New Jersey, 1981. 16. N. K. SINHA and G. J. LASTMAN, "Identification of Contin­ uous-Time Multivariable Systems from Sampled Data," Int. J. Control 35, 117-126 (1982).

7 . (21a) y(n) = "i · o o x(n) . o : o lj This equation is equivalent to the one in (17). We remark that a number of random sequences are generated to drive the system. All results are surprisingly identical. The obtained transfer matrix is also exact; no numerical error is introduced in the computation. 25 -1 Π 0 1. u(n) , x(n) . 749 - z is obtained. 2zJ The result is again exact. This confirms that the algorithm used is a numerically stable one. More simula­ tions for systems with higher degrees are under way.

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Advances in Theory and Applications : System Identification and Adaptive Control, Part 2 by Cornelius T. Leondes


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