CAREER: Research on input-output methods for nonlinear control design; Education into the next century

9502034 Teel这项建议的研究目标是加深对高度非线性系统的动力学和控制的理解。强调的数学方法将是那些试图根据非线性系统的输入-输出行为来表征它们的数学方法。这种观点是灵活的，可以适应现实世界的不确定性和复杂的非线性行为。最近在对控制信号的大小和允许速率具有硬限制的系统的控制方面的突破就是通过采取这种观点而发展起来的。研究计划的一部分是为了表明已开发的控制饱和问题的算法适用于各种问题。通过研究优化策略和与更多标准控制算法的协调，控制算法的重要性将得到加强。事实上，这些算法可能会在标准控制和较新的“智能”控制之间建立联系。研究计划的第二部分试图通过采取一般的输入-输出观点来发展对非线性控制的概念性洞察和计算算法。人们相信，这将导致类似于许多已知的线性系统基本结果的结果：稳定补偿器的参数化、对这些参数的优化、同时镇定等。软件开发将是将这一建议的研究进展传送到工业部门的一种手段。这项研究的教育目标是促进为当今工科学生的独特方面量身定做的学习环境。前提是，今天的学生在视角、价值观和期望方面与他们之前的学生有很大的不同。因此，必须调查教学风格和视角的变化。教育计划要求对教学方式和方法进行批判性的自我和外部审视。在一定程度上，这将发生在大学教师发展计划的结构中。此外，该计划要求对实验室教学方法进行彻底的重新审查，特别是在控制这一子领域。强调将可视化技术作为一种教学工具的考虑。最后，推荐了一种通过电气工程和控制的历史和愿景来激励学生的教学方法。在这方面，辅导被视为教育过程中至关重要的一部分。***

9502034 Teel The research objective of this proposal is to further the understanding of the dynamics and control of highly nonlinear systems. The mathematical methods emphasized will be those that seek to characterize nonlinear systems in terms of their input- output behavior. This viewpoint is flexible and can accommodate real world uncertainties and complicated nonlinear behavior. Recent breakthroughs regarding control of systems with hard limits on the magnitude and permissible rates of control signals have developed by taking this view. Part of the research plan is to show that the algorithms which have been developed for the control saturation problem are applicable to a wide variety of problems. The significance of the control algorithms will be enhanced by investigating optimization strategies and rapprochement with more standard control algorithms. Indeed, these algorithms may provide a link between standard control and more recent "intelligent" control. The second part of the research plan seeks to develop both conceptual insight into and computational algorithms for nonlinear control by taking a general input-output point of view. It is believed that this will lead to results analogous to many fundamental results that are known for linear systems: a parameterization of stabilizing compensators, optimization over such parameters, simultaneous stabilization, etc. Software development will be a means of transporting the research developments of this proposal to the industrial sector. The educational objective of this research is to facilitate a learning environment which is tailored to the unique aspects of today's engineering student. The premise is that today's students are very different from those that preceded them, with regard to perspectives, values and expectation. Accordingly, changes in teaching styles and perspectives must be investigated. The educational plan calls for critical self-and outside- examination of teachin g styles and methods. Partially, this will occur within the structure of a faculty development program at the University. In addition, the plan calls for a thorough re- examination of laboratory teaching methods, especially in the subfield of control. A consideration of visualization techniques as a teaching tool is emphasized. Finally, a teaching approach that motivates the student through the history of and vision for electrical engineering and control is recommended. In this regard, mentoring is seen to be a crucial part of the education process. ***