Suboptimal control law for a multi fractional high order linear quadratic regulator system in the presence of disturbance

Malmir, Iman

doi:10.1016/j.rico.2023.100251

Cited by 5 publications

(1 citation statement)

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“…There are some other papers that have also studied this type of fractional optimal control problems but their illustrative examples (with exact explicit solutions) that were used to show applicability of the methods of these works, are not really the optimal control problems. The procedure for defining such problems was presented in [25] by which initial and boundary conditions can be easily derived from the preselected functions as the exact solutions.…”

Section: Iman Malmirmentioning

confidence: 99%

Simulating two-dimensional optimal control problem of fractional partial differential equations

Malmir

2023

ACSE

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In this work, a novel method for simulating the fractional twodimensional linear-quadratic optimal control problem of fractional partial differential equations is introduced. Here, the fractional two-dimensional optimal control problems are transformed into a quadratic programing framework by which we can use many quadratic programming solvers. There is no need to find the optimality conditions and no need to use any multiplier. The optimal control problem involves a two-dimensional performance index and the control of problem depends on both spatial and temporal variables. Some illustrative examples with complicated and challenging situations are investigated.

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Section: Iman Malmirmentioning

confidence: 99%