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Comparative Study of Optimal Controller Application on Nonlinear Systems

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Modeling, Simulation and Optimization

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 206))

Abstract

In this paper, a comparative analysis regarding optimal control strategies based on nonlinear systems is exhibited. A ball and beam (BBS) system and magnetic levitation (Maglev) system are considered for optimization and controller design as both the systems are open loop, high nonlinear and unstable. A two degree of freedom (2DOF) controller is obtained and tested for both the systems. The present work endeavor is to stabilize the systems by using different control laws. A linear quadratic regulator (LQR) is designed and implemented with an objective to stabilize and control the ball position for tracking to a desired ball position. A Linear Quadratic Gaussian (LQG) control under the effect of sensor noises in simulation is also presented. The modeling and simulation work for controlling the system is carried out on MATLAB-Simulink platform.

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Correspondence to Niku Borgohain .

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Borgohain, N., Buragohain, M. (2021). Comparative Study of Optimal Controller Application on Nonlinear Systems. In: Das, B., Patgiri, R., Bandyopadhyay, S., Balas, V.E. (eds) Modeling, Simulation and Optimization. Smart Innovation, Systems and Technologies, vol 206. Springer, Singapore. https://doi.org/10.1007/978-981-15-9829-6_32

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