An optimum approach in target tracking with bearing measurements. (English) Zbl 0619.90106
We consider a two-state tracking problem with bearing measurements on a stationary target. The observer’s speed is assumed constant and an optimum course is sought. An integral representing a lower bound for the Fisher information matrix is derived, and optimality of the observer’s course is defined as maximizing the lower bound. The problem is solved within the framework of optimal control theory. A sufficiency theorem involving the Hamilton-Jacobi equation is invoked to determine the optimal course. It is shown that the optimal course is such that the observer proceeds at a fixed deviated angle and the optimal trajectory is a deviated pursuit curve.
Keywords:
two-state tracking; Fisher information matrix; optimal control; observability; maximum lower bound course; deviated pursuitReferences:
[1] | Taylor, J. H.,The Cramer-Rao Estimation Error Lower Bound Computation for Deterministic Nonlinear Systems, IEEE Transaction on Automatic Control, Vol. AC-24, No. 2, pp. 345-346, 1979. · Zbl 0434.93056 |
[2] | Davis, H. T.,Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York, New York, 1960. |
[3] | Athans, M., andFalb, P. L.,Optimal Control, McGraw-Hill, New York, New York, 1966. · Zbl 0196.46303 |
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