Suboptimal control of stochastic distributed parameter systems

Abstract

A problem with important process applications is the control of distributed parameter systems subject to boundary and volume disturbances and measurement errors. The optimal control of linear stochastic distributed systems has been studied by Tzafestas and Nightingale (1968), Kushner (1968), Thau (1969), Pel1 and Aris (1970), Bensoussian (1971), and Sholar and Wiberg (1972), while feedback control of onlinear stochastic distributed systems was investigated by Yu and Seinfeld (1972). The objective of this communication is to propose a suboptimal scheme for control of nonlinear noisy distributed parameter systems. Briefly, the scheme is based on the extension of the Lyapunov functional method and is designed to be easy to implement in practice.

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