This paper presents a new controller design technique for systems driven with impulse inputs. Necessary conditions for optimal impulse control are derived. A neural network structure to solve the resulting equations for optimal control is presented. Solution concepts are illustrated with example problems that exhibit increasing levels of difficulty. Two linear problems, one scalar and one vector and a benchmark nonlinear problem, the Van Der Pol oscillator, are used as case studies. Numerical results show the efficacy of the new solution process for impulse driven systems. Since the theoretical development and the design technique are free from restrictive assumptions, this technique is applicable to many problems in engineering and science.
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机译：本文介绍了一种用于脉冲输入驱动系统的新型控制器设计技术。得出了最佳脉冲控制的必要条件。提出了一种神经网络结构，用于求解所得方程，实现最优控制。通过示例问题来说明解决方案概念，这些示例问题显示出越来越高的难度。案例研究使用两个线性问题，一个标量和一个向量，以及一个基准非线性问题，Van Der Pol振荡器。数值结果表明，新的求解方法对于脉冲驱动系统是有效的。由于理论发展和设计技术不受限制的假设，因此该技术适用于工程和科学中的许多问题。
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