Pseudospectral Method based Optimal Control of Tuberculosis Model

Salik, Mohammad; Banerjee, Arunava; Nabi, M.

doi:10.1109/med48518.2020.9183257

Cited by 1 publication

(1 citation statement)

References 18 publications

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“…Moreover, the method is easy to implement and gives a relatively fast rate (Garg et al, 2010). The PSM technique has been extensively used for many applications such as spacecraft attitude control problem (Kang and Bedrossian, 2007), regulation of robotic manipulator (Liu and Li, 2014), motion planning for autonomous vehicle (Gong et al, 2009), reusable launch vehicle (Sarkar et al, 2020), military and industrial applications (Banerjee et al, 2020;Gong et al, 2007), disease control (Banerjee et al, 2019;Salik et al, 2020) among others. However, the implementation of PSM for the regulation and time-energy minimization problem of the AMB system has not been explored previously.…”

Section: Introductionmentioning

confidence: 99%

Pseudospectral method-based optimal control for a nonlinear five degree of freedom active magnetic bearing system

Saha

Banerjee

Amrr

et al. 2021

Transactions of the Institute of Measurement and Control

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Active magnetic bearings (AMB) are used to suspend the rotor freely inside the stator to avoid any physical contact between them. Thus, it helps in significantly reducing the wear and tear that may cause a system breakdown. With the advancement of power electronics and the implementation of advanced control techniques, the use of AMB in industrial applications has increased. This paper proposes an optimal control strategy for the five degree of freedom (DOF) AMB system. The time-energy consumption of input is minimized by the application of a relatively new optimal control method called the pseudospectral method (PSM). Since the AMB is a nonlinear system, therefore the implementation of classical optimal control strategies becomes challenging. Thus, the PSM first transforms the optimal control problem at non-uniform nodes and converts it into a nonlinear programming problem, which is relatively easier to tackle. The PSM, as demonstrated in this paper, is able to find optimal solutions using relatively fewer grid points which in turn reduces the computational time and converges to the solution faster. The simulation analysis for the AMB system using two different types of PSM, that is, Legendre PSM and the Chebyshev PSM illustrates the optimal performance of the proposed strategy.

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