An application of Chebyshev estimation

Whereas previous studies have indicated that Chebyshev estimation procedures should be readily applicable to parameter identification problems, little experimental work has been reported. To this effect, a quasilinearization-linear programming approach was used to estimate the elements appearing in the discrete transition matrix for a stabilized missile roll control system. Results indicate that Chebyshev estimation is best for a system with bounded measurement noise (i.e., quantization or roundoff noise) and gives improved estimates as the number of samples increases.