Generalised Energy Based Robust and Nonlinear Control Systems

本项目旨在基于无源性和负虚系统理论及其物理解释以及随机最优控制理论，为线性和非线性系统开发新的基于能量的鲁棒稳定性分析和控制器设计理论。这些控制理论将允许在高性能鲁棒控制系统的设计中广泛考虑植物动力学，从而推动包括纳米定位、微机电系统和光机电一体化在内的新兴技术的进步。该项目计划将这些理论进展与涉及先进优化工具的数值方法和原子力显微镜中纳米定位控制系统的实验实施相结合。

This project aims to develop new energy-based theories of robust stability analysis and controller design for both linear and nonlinear systems, building on passivity and negative imaginary system theories and their physical interpretations along with stochastic optimal control theory. These control theories would allow for a wide range of plant dynamics in the design of high-performance robust control systems, enabling advances in emerging technologies including nanopositioning, micro-electromechanical systems and opto-mechatronics. The project plans to combine these theoretical advances with numerical methods involving advanced optimisation tools and the experimental implementation of nanopositioning control systems in atomic force microscopy.