Geodesic
Application of linear programming techniques for controlling linear dynamic plants in real time
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 394-408

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The problem of controlling a linear dynamic plant in real time given its nondeterministic model and imperfect measurements of the inputs and outputs is considered. The concepts of current distributions of the initial state and disturbance parameters are introduced. The method for the implementation of disclosable loop using the separation principle is described. The optimal control problem under uncertainty conditions is reduced to the problems of optimal observation, optimal identification, and optimal control of the deterministic system. To extend the domain where a solution to the optimal control problem under uncertainty exists, a two-stage optimal control method is proposed. Results are illustrated using a dynamic plant of the fourth order. 
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     author = {R. Gabasov and F. M. Kirillova and Vo Thi Thanh Ha},
     title = {Application of linear programming techniques for controlling linear dynamic plants in real time},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {394--408},
     publisher = {mathdoc},
     volume = {56},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a6/}
}
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R. Gabasov; F. M. Kirillova; Vo Thi Thanh Ha. Application of linear programming techniques for controlling linear dynamic plants in real time. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 394-408. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a6/