Impulse Control of Nonlinear Systems With Uncertainties Using Neural Networks

Balakrishnan，这项研究的目的是为具有不确定性的非线性系统设计最优脉冲控制器。提出的方法是基于近似动态规划的。采用双神经网络结构对最优脉冲控制方程进行求解，实现了最优脉冲控制问题的统一控制器解。这一研究成果有望推动脉冲控制领域的发展。此外，由于这些研究是基于具有基于神经网络的解结构的新的近似动态规划公式，因此所提出的工作的预期结果将推进神经网络领域的最新技术水平。这项研究将在应用领域产生更广泛的影响。具有动态不确定性的系统，其中控制输入发生在相对于系统响应时间的非常短的时间尺度上，这是普遍的和有价值的。这类系统的特点是流行病、虫害控制、库存控制、汇率、利率等的动态变化。对这些问题的最佳解决方案可以大大提高成本节约，并在一些医疗保健领域提供解决方案，提高生活质量。该提案计划的外联活动包括利用妇女和少数群体，并通过医疗领域的非工程学合作者传播成果。该项目的结果将通过向该地区的高中进行示范来讨论，以便在职业生涯早期培养人们对科学和工程的兴趣。

Balakrishnan The objective of this research is to develop optimal impulse controllers for nonlinear systems with uncertainties. The approach proposed is based on approximate dynamic programming. Dual neural network architectures will be used to solve the equations resulting from an optimal impulse control formulation.Intellectual merit of this research lies in realizing unified controller solutions to optimal impulse control problems that are important, yet difficult to solve. Outcome of this research is expected to advance the field of control in the area of impulse control. Furthermore, expected results from the proposed work will advance the state of the art in the field of neural networks since these investigations are based on new approximate dynamic programming formulations with neural network based solution structures. Broader impact of this research will be in the applications areas. Systems with uncertainties in dynamics where control inputs occur on very short time scales with respect to the systems response time are pervasive and valuable. This class of systems characterizes dynamics of epidemics, insect control, inventory control, exchange rates, interest rates etc. Optimal solutions to such problems could lead to large improvements in cost savings and offer solutions in some health care areas and quality of life improvements. Outreach activities planned in this proposal include using women and minorities and disseminating results through non-engineering collaborators in the medical areas. The project results will be discussed through demonstrations to the area high schools in order to create early career interest in science and engineering.