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16-06-2020 | Research Article-Systems Engineering | Issue 8/2020

Arabian Journal for Science and Engineering 8/2020

Optimal Nonlinear Controller Design for Different Classes of Nonlinear Systems Using Black Hole Optimization Method

Journal:
Arabian Journal for Science and Engineering > Issue 8/2020
Authors:
Hazem I. Ali, Musadaq A. Hadi

Abstract

In this paper, a new optimal nonlinear controller is proposed for different classes of nonlinear systems using black hole (BH) optimization method. The different classes presented by these nonlinear systems include, time-varying nonlinear system with external disturbance, non-affine nonlinear strict-feedback system with full state constraints and uncertain nonlinear system. First, the nonlinear systems are analyzed using Lyapunov quadratic function. Second, the nonlinear controller is designed to guarantee the stability of the system after using a model reference to achieve the required performance. Then, the Integral Square Error performance index is used as a cost function to minimize the error between the reference output and the actual output of the proposed systems to zero. Afterward, the BH optimization method is applied as a new powerful optimization method to find the optimal parameters for the proposed nonlinear controller. Finally, the simulation results that the asymptotic stability and optimal performance are achieved with a lowest possible control action. In addition, it shows the efficiency of the proposed nonlinear controller for compensating different nonlinear systems problems.

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