Advanced Switching Control Techniques for Switched Systems Subject to Physical Constraints

本项目的目标是推进切换控制理论，发展具有竞争力的非线性控制技术。最近在工程实践中出现了许多切换系统，涉及到连续时间和离散事件动态之间的相互作用。切换系统提供了一种有用的机制来建模复杂的动态，这些动态容易受到系统配置的突然参数变化和突然变化的影响。利用多重和共轭Lyapunov函数，研究具有不同切换规则的新的切换控制技术，以提高控制性能和扩展控制设计能力。研究的另一个重点是为切换控制设计中出现的一类重要的非凸问题生成计算效率高的算法。这项研究将通过开发切换控制方案来处理建模误差和执行器非线性，并从确定性和概率的组合角度生成有效的计算工具，从而做出根本性的贡献。将所设计的切换控制技术和软件工具应用于高超声速飞机，可以充分发挥超高速飞机的飞行潜力，这对国防和商业应用都具有重要意义。这项研究的结果将对商业、国防和国家安全产生重大影响。该项目的成功可以为理论上合理和实用的开关控制方法在工程应用中的广泛应用起到催化剂作用。教育和外展活动将通过创造本科生研究机会来加强北卡罗来纳州立大学的教育项目，并促进大学与行业的合作和技术转让。

The goal of this project is to advance switching control theory and to develop competitive nonlinear control techniques. There are many switched systems emerging recently in engineering practices that involve interactions between continuous time and discrete event dynamics. Switched systems provide a useful mechanism to model complex dynamics that are subject to abrupt parameter variations and sudden changes in system configurations. Using multiple and conjugate Lyapunov functions, this effort will investigate new switching control techniques with different switching rules to improve controlled performance and expand control design capability. Another focus of the research is to generate computationally efficient algorithms tailored to an important class of non-convex problems arising from switching control designs. This research will make fundamental contributions by developing switching control schemes to handle modeling inaccuracy and actuator nonlinearity and generating effective computational tools from combined deterministic and probabilistic perspectives.The application of the projected switching control techniques and software tools to hypersonic aircraft could realize the full potential of ultrahigh speed aircraft flight, which has critical implications for both defense and commercial applications. The outcome of the research would have significant commercial, defense, and national security impacts. The success of this project can serve as a catalyst for the widespread use of theoretically sound and practically useful switching control approaches in engineering applications. The educational and outreach activities will enhance North Carolina State University's educational program by generating undergraduate research opportunities and facilitate university-industry collaboration and technology transfer.