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

Hazem I. Ali; Musadaq A. Hadi

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

机译：利用黑洞优化方法的不同类别非线性系统的最佳非线性控制器设计

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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.

机译：本文采用了使用黑洞（BH）优化方法的不同类别的非线性系统，提出了一种新的最佳非线性控制器。这些非线性系统呈现的不同类包括，具有外部干扰的时变非线性系统，具有全状态约束和不确定非线性系统的非仿射非线性严格反馈系统。首先，使用Lyapunov二次函数分析非线性系统。其次，非线性控制器旨在保证使用模型引用后系统的稳定性来实现所需性能。然后，整数方误差性能索引用作成本函数，以最小化参考输出之间的误差和所提出的系统的实际输出到零。之后，使用BH优化方法作为一种新的强大优化方法，以找到所提出的非线性控制器的最佳参数。最后，仿真结果以最低可能的控制作用实现了渐近稳定性和最佳性能。此外，它显示了所提出的非线性控制器的效率，用于补偿不同的非线性系统问题。

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《Arabian Journal for Science and Engineering. Section A, Sciences》 |2020年第8期|7033-7053|共21页
作者
Hazem I. Ali; Musadaq A. Hadi;
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作者单位

Control and Systems Engineering Department University of Technology-Iraq Baghdad Iraq;

Control and Systems Engineering Department University of Technology-Iraq Baghdad Iraq;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Model reference; Strict-feedback; Time-varying; Uncertain nonlinear system; Black hole; Lyapunov quadratic function;

机译：模型参考;严格反馈;时变;不确定的非线性系统;黑洞;Lyapunov二次功能;

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2. A PSO method with nonlinear time-varying evolution for optimal design of PID controllers in a pendubot system [J] . Pi-Yun Chen, Chia-Ju Wu, Yu-Yi Fu, Artificial life and robotics . 2009,第1期

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3. METHODS OF LINEAR ALGEBRA IN THE ANALYSIS OF CERTAIN CLASSES OF NONLINEAR DISCRETELY TRANSFORMATIVE SYSTEMS. Ⅱ. SYSTEMS WITH ADDITIVELY SELECTED NONLINEARITY [J] . V. A. Stoyan Cybernetics and Systems Analysis . 2019,第2期

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4. Robust Optimal State-Feedback Controllers Design of Uncertain Nonlinear Dynamic Systems by Using Integrative Optimization Approach [C] . Wen-Hsien Ho, Jinn-Tsong Tsai, Tung-Kuan Liu, International Conference on Innovative Computing, Information and Control . 2007

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5. Structural analysis, design and optimization of nonlinear control systems using the linear algebraic equivalence of nonlinear controllers. [D] . Gwak, Kwan-Woong. 2003

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6. Local E-optimality Conditions for Trajectory Design to Estimate Parameters in Nonlinear Systems [O] . Andrew D. Wilson, Todd D. Murphey -1

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8. A Design Methodology for Nonlinear Systems Containing Parameter Uncertainty: Application to Nonlinear Controller Design [R] . Young, G. 1982

机译：含参数不确定性的非线性系统设计方法 - 非线性控制器设计的应用

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

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