this paper presents a novel control approach used in shunt active power filter based on variable structure control combined with random pwm technique (rvsc) that provides robust, fast, and more favorable performance for active power filter. this control strategy is compared with two other strategies to show the effectiveness of the introduced methods; pulse width modulated proportional-integral...

A general result is obtained for the existence of saddle-point in a stochastic game of timing, by exploiting its connection with a bounded-variation control problem. Weak compactness arguments prove the existence of an optimal process for the control problem. It is shown that this optimal process generates a pair of stopping times that constitute a saddle-point for the game, using the method of...

This report summarizes some of our recent work (Guo and Tomecek (2008b,a)) on a new theoretical connection between singular control of finite variation and optimal switching problems. This correspondence not only provides a novel method for analyzing multi-dimensional singular control problems, but also builds links among singular controls, Dynkin games, and sequential optimal stopping problems.

Let N be the number of available sensor sources. Noisy observations of an underlying state process are available for these N sources. We consider the continuous time sensor scheduling problem in whichN of theseN sources are to be chosen to collect data at each time point. This sensor scheduling problem (with switching costs and switching constraints) is formulated as a constrained optimal contr...

The notion of switching system generalizes the idea of a `diierential equa-tion': a switching system consists of a number of modes (e.g., diierential equations) together with a set of switching rules. Such systems arise in mod-eling thermostats (and other devices involving`hysteresis'), in considering the evolution of a multimodal (variable structure) system for which`feedback control' has been...

We consider a particular class of hybrid systems characterized by a finite state machine and a set of discretetime linear dynamical systems, each corresponding to a state of the machine. The hybrid control problem addressed consists of maintaining the output of the systems in a given subset of the output space, independently of the state of the FSM. Necessary and sufficient conditions are given...