Optimal operation of alumina proportioning and mixing process based on stochastic optimization approach

Yin, Yanyan; Kong, Lingjiang; Yang, Chunhua; Gui, Weihua; Liu, Fei; Teo, Kok Lay

doi:10.1016/j.conengprac.2021.104855

Cited by 8 publications

(1 citation statement)

References 18 publications

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“…It can deal with many practically important issues, such as reducing energy consumption and improving production efficiency. Due to its practical importance, it has received continuous attention among scholars over the past several decades [18][19][20][21][22][23][24]. For an optimal control problem, the purpose is to find a control strategy such that a specific performance measure is minimised subject to specific dynamic systems and various constraints on the state and control variables.…”

Section: Introductionmentioning

confidence: 99%

Optimal control of nonlinear Markov jump systems by control parametrisation technique

Jin

Yin

Loxton

et al. 2022

IET Control Theory & Appl

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This paper considers an optimal control problem of nonlinear Markov jump systems with continuous state inequality constraints. Due to the presence of continuous-time Markov chain, no existing computation method is available to solve such an optimal control problem. In this paper, a derandomisation technique is introduced to transform the nonlinear Markov jump system into a deterministic system, which simultaneously gives rise to an equivalent deterministic dynamic optimisation problem. The control parametrisation technique is then used to partition the time horizon into a sequence of subintervals such that the control function is approximated by a piecewise constant function consistent with the partition. The heights of the piecewise constant function on the corresponding subintervals are taken as decision variables to be optimised. In this way, the approximate dynamic optimisation problem is an optimal parameter selection problem, which can be viewed as a finite dimensional optimisation problem. To solve it using a gradient-based optimisation method, the gradient formulas of the cost function and the constraint functions are derived. Finally, a real-world practical problem involving a bioreactor tank model is solved using the method proposed.

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