Titlebook: Control, Identification, and Input Optimization; Robert Kalaba,Karl Spingarn Book 1982 Plenum Press, New York 1982 control engineering.ope

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Optimal Control simplest problem in the calculus of variations is discussed in Section 2.1. The Euler-Lagrange equations are derived using the classical calculus of variations (References 1–5) approach. The equations are then rederived using dynamic programming (References 6–8).

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Gauss-Newton Method for System Identificationtimated, the least-squares estimates of constant unknown parameters can be obtained using a one-step procedure. No a priori estimates of the unknown parameters are required. For dynamic systems with measurements nonlinear in the parameters, such as those of interest in this text, iterative methods a

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Quasilinearization Method for System Identificationdary problems. In this chapter quasilinearization is used for system identification (References 1–9) using the measurements to formulate the problem as a multipoint boundary-value problem. The least-squares criterion is used to estimate the unknown initial conditions and/or unknown parameters.

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Applications of System Identificationblood glucose regulation parameter estimation. The blood glucose concentration increases when glucose is administered in mammals. This results in an increase in the plasma insulin concentration. The insulin accelerates the rate of disappearance of glucose from the plasma compartment and the blood su

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Optimal Inputsst. 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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Additional Topics for Optimal Inputsection 9.1 an improved method for the numerical determination of optimal inputs is considered in which the Lagrange multiplier is evaluated simultaneously with the optimal input. Multiparameter optimal inputs are considered in Section 9.2. The trace of the information matrix is used as the performan

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Computer Programs for the Solution of Boundary-Value and Identification Problemsvalue problems and the second for the solution of system identification problems. The two-point boundary-value problems include examples from the linear first-order system state-regulator problem, optimal inputs for estimating one of the parameters of a nonlinear first-order system, and optimal inpu