On a direct method for optimization of stochastic distributed parameter systems
(1975) International Journal of Control — Vol. 21, n° 6, p. 929-943 (1975)
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- Abstract
- A direct method for optimization of a class of linear distributed parameter systems with stochastic distributed disturbances is presented. The method is based on expanding control systems, Green's function and covariance matrices in terms of a finite number of elements taken from complete sets of orthonormal basis in both time and space. Practical considerations are considered in the application of the method. A minimum-variance filter is designed using noisy discrete observations from a finite number of measuring points. Then the synthesis of a pointwise controller is carried out to minimize a quadratic performance index. The optimal coefficients of control are determined via simple algebraic relations in terms of the state conditional mean. A discussion of the properties and computational aspects of the method is given.
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Aidarous, S. E. (1975). On a direct method for optimization of stochastic distributed parameter systems. International Journal of Control, 21(6), 929-943. https://hdl.handle.net/2078.5/89691 (Original work published 1975)