Tsuyoshi Okita

Brief paper: Optimal timing of observations for state estimation in a one-dimensional linear continuous system

This paper considers the optimal timing of observations for the state estimation in a one-dimensional linear continuous stochastic system which is corrupted by white Gaussian noise. The criterion adopted ia a min-max one. The optimal observation times are analytically shown to be located periodically including the terminal time, irrespective of the values of the variances of both the observation noise and the system noise. Finally, the relation between the min-max solution and MSE (mean-square error) solution is considered, and the method of obtaining a suboptimal MSE solution with a little computational cost is presented.

On suboptimal selection of observation times in a linear discrete dynamical system

A suboptimal selection of observation times is considered which minimizes the quadratic control performance in the control and state error under a restricted number of observations. Two convenient observation algorithms are proposed for multiple available observations based upon the analytical results obtained for a continuous system, i.e. a periodic observation policy for an unstable system, and its modified versions, taking into account the transient state, for a -stable system.

Continuation Method for Dynamic Economic Load Dispatch with Emission Constraints

Abstract This paper presents a method for solving a dynamic economic load dispatch problem of electric power systems. Since the expected system load varies over a given time horizon, the sum of generator outputs must follows the system load subject to power-rate limits on generators. In order to solve the dynamic ELD problem, the continuation method is employed in this paper. It is shown that each generator output is expressed as a piecewise-linear function of a continuation parameter, and this fact enables us to obtain the optimal solution efficiently. Numerical tests for a model system indicate the validity and effectiveness of the proposed method.

Syntheses of optimal actuators for oscillatory and non-oscillatory systems with a scalar input

Abstract Syntheses of optimal actuators which minimize an energy are considered for oscillatory and non-oscillatory systems with a scalar input from the viewpoint of terminal control with an arbitrary terminal time. Under a certain assumption for the latter systems, hut no assumptions for the former systems, an optimal actuator matrix is shown to be given by the vector directed to the centre of gravity of the convex polyhedron which is constructed by the reciprocal vectors of the eigenvectors of a transition matrix. In the case where the above assumption is not satisfied for the non-oscillatory systems, a sequential approximation method, whose starting point is the vector directed to the centroid of the convex polyhedron, is proposed to obtain a suboptimal solution.

An Optimal Traffic Control Strategy to Regulate the Street Noise Over a City-Wide Area from the Two Methodological Viewpoints of D.P. and M.P

Abstract Generally speaking, the resultant fluctuation patterns of the environmental road traffic noise can be principally described by the physical factors of circumstances. Based on that fact, in this paper, the representative evaluation index based on the dB observation for the street noise over the city-wide area has been initially introduced in an analytical functional form with the physical parameters of the traffic flow. Then, the optimal traffic control strategies, in order to regulate the street noise from many vehicles over the area, can be generally determined by the methods proposed from the two different methodological viewpoints of dynamic programming and maximum principle. Finally, we have confirmed the validity and effectiveness of our theory by means of digital simulation.