Title

Event based pulse-modulated control of linear stochastic systems

Document Type

Article

Publication Date

1-1-2014

Abstract

In this technical note, event-based pulse-modulated control is studied for linear stochastic systems with an average quadratic performance over an infinite horizon. From the probabilistic representation of solutions to differential equations, an analytic expression of the quadratic performance is provided. For stable and critically stable first-order systems, the schemes for seeking optimal parameters are given. In the unstable case, the stabilization problem is discussed. Unstable systems (first-order or higher-order) with white noises cannot be stabilized with probability 1, except that the noises are known to be bounded. © 1963-2012 IEEE.

Publication Source (Journal or Book title)

IEEE Transactions on Automatic Control

First Page

2144

Last Page

2150

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