Abstract
The accuracy of parameter estimates is increased by the use of optimal inputs. In this chapter, a historical background of optimal inputs is given first. This is followed by the design of optimal inputs for linear systems in Section 8.2 and nonlinear systems in Section 8.3. An improved method for the numerical determination of optimal inputs and multiparameter optimal inputs is discussed in Chapter 9.
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References
Mehra, R. K., Optimal input signals for parameter estimation in dynamic systems— Survey and new results, IEEE Transactions on Automatic Control, Vol. 19, No. 6, pp. 753–768, 1974.
Levin, M. J., Optimal estimation of impulse response in the presence of noise, IRE Transactions on Circuit Theory, Vol. 7, pp. 50–56, March, 1960.
Levadi, V. S., Design of input signals for parameter estimation, IEEE Transactions on Automatic Control, Vol. 11, No. 2, pp. 205–211, 1966.
Nahi, N. E., and Wallis, D. E., Jr., Optimal inputs for parameter estimation in dynamic systems with white observation noise, Preprints, Joint Automatic Control Conference, Boulder, Colorado, pp. 506–513, August 1969.
Aoki, M., and Staley, R. M., On input signal synthesis in parameter identification, Automatica, Vol. 6, pp. 431–440, 1970.
Nahi, N. E., and Napjus, G. A., Design of optimal probing signals for vector parameter estimation, IEEE Decision and Control Conference, Miami, Florida, pp. 162–168, 1971.
Goodwin, G. C., Optimal input signals for nonlinear-system identification, Proceedings of the IEE, Vol. 118, No. 7, pp. 922–926, 1971.
Mehra, R. K., et ah, Dual Control and Identification Methods for Avionic Systems— Part II, Optimal Inputs for Linear System Identification, Final Report, SCI Project 5971, AFOSR Contract F44620–71-C-0077, pp. 1–74, May, 1972.
Mehra, R. K., Optimal inputs for linear system identification, Joint Automatic Control Conference, Stanford University, Stanford, California, pp. 811–820, August 1972;
also in IEEE Transactions on Automatic Control, Vol. 19, No. 3, pp. 192–200, June, 1974.
Mehra, R. K., and Stepner, D. E., Optimal inputs for aircraft parameter identification, International Conference on Systems and Control, Coimbatore, India, August, 1973.
Mehra, R. K., Frequency-Domain Synthesis of Optimal Inputs for Linear System Parameter Estimation, TR645 Division of Engineering and Applied Physics, Harvard University, July, 1973.
Gupta, N. K., Mehra, R. K., and Hall, W. E., Jr., Frequency domain input design for aircraft parameter identification, ASME Winter Annual Meeting, November, 1974.
Mehra, R. K., Synthesis of Optimal Inputs for Multiinput-Multioutput (MIMO) Systems with Process Noise; Part I: Frequency Domain Synthesis; Part II: Time Domain Synthesis, TR649, Division of Engineering and Applied Physics, Harvard University, February, 1974;
also in System Identification, Advances and Case Studies, edited by R. K. Mehra and D. G. Lainiotis, Academic Press, New York, pp. 211–249, 1976.
Mehra, R. K., Time domain synthesis of optimal inputs for system identification, IEEE Conference on Decision and Control, Phoenix, Arizona, pp. 480–487, 1974.
Mehra, R. K., Frequency domain synthesis of optimal inputs for multiinput-multi-output(MIMO) systems with process noise, IEEE Conference on Decision and Control, Phoenix, Arizona, pp. 410–418, 1974.
Mehra, R. K., and Gupta, N. K., Status of input design for aircraft parameter identification, AGARD Specialists Meeting on Methods for Aircraft State and Parameter Identification, NASA Langely Research Center, Hampton, Virginia, pp. 12–1 to 12–21, November, 1974.
Kalaba, R. E., and Spingarn, K., Optimal inputs and sensitivities for parameter estimation, Journal of Optimization Theory and Applications, Vol. 11, pp. 56–67, January, 1973.
Kalaba, R. E., and Spingarn, K., Optimal inputs for nonlinear process parameter estimation, IEEE Transactions on Aerospace and Electronic Systems, Vol. 10, pp. 339–345, May, 1974.
Kalaba, R. E., and Spingarn, K., Optimal input system identification for homogeneous and nonhomogeneous boundary conditions, Journal of Optimization Theory and Applications, Vol. 16, Nos. 5/6, pp. 487–496, 1975.
Kalaba, R. E., and Spingarn, K., Optimal input system identification for nonlinear dynamic systems, Journal of Optimization Theory and Applications, Vol. 21, No. 1, pp. 91–102, January, 1977.
Kalaba, R. E., and Spingarn, K., On the numerical determination of optimal inputs, Journal of Optimization Theory and Applications, Vol. 25, No. 2, pp. 219–227, 1978.
Kalaba, R. E., and Spingarn, K., Sensitivity of parameter estimates to observations, system identification, and optimal inputs, Applied Mathematics and Computation, Vol. 7, No. 3, pp. 225–235, 1980.
Georganas, N. D., Optimal inputs and sensitivities for nonlinear process parameter estimation using imbedding techniques, IEEE Transactions on Automatic Control, (Technical Note), Vol. 21, No. 3, pp. 415–417, 1976.
Sugisaka, M., and Sagara, S., Imbedding approach for optimal input design of linear system identification, 5th IFAC Symposium on Identification and System Parameter Estimation, Darmstadt, Federal Republic of Germany, September, 1979.
Zarrop, M. B., A Chebyshev system approach to optimal input design, IEEE Transactions on Automatic Control, Vol. 24, No. 5, pp. 687–698, 1979.
Grove, T., Bekey, G., and Haywood, J., Analysis of errors in parameter estimation with applications to physiological systems, American Journal of Physiology, Vol. 239, pp. R39O-R400, November, 1980.
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© 1982 Plenum Press, New York
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Kalaba, R., Spingarn, K. (1982). Optimal Inputs. In: Control, Identification, and Input Optimization. Mathematical Concepts and Methods in Science and Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7662-0_8
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DOI: https://doi.org/10.1007/978-1-4684-7662-0_8
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