Global optimization of measurement strategies for linear stochastic systems

Abstract In this paper, nonlinear optimization problems arising from the determination of optimal measurement strategies for linear stochastic systems are analyzed. Since the minimum value of the mean square error is included in a further optimization process, a Riccati-type equation appears naturally as a constraint. In spite of its nonlinear nature, it presents a convexity property which makes possible the development of a global convergent algorithm even in the case of logical alternative decisions being under consideration. Two numerical examples are included.