Generalised Energy Based Robust and Nonlinear Control Systems

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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.