2243050 – Nonlinear Process Control

Nonlinearities are ubiquitous in nature. Differing from linear control theory and linear control systems, which typically rely on the local linearization of a nonlinear system around some equilibrium, this module addresses nonlinear concepts for the analysis and the control of nonlinear systems. The course covers the following topics: • Introduction to the dynamic analysis of nonlinear systems • Differential geometric concepts • Exact feedback linearization • Differential flatness and flatness-based feedforward and tracking control • Lyapunov theory and Lyapunov-based design methods Problem sets are considered in the exercises to apply the developed methods using analytical tools as well as computer algebra systems to realize the design approaches.

Zusammenfassung

Nonlinearities are ubiquitous in nature. Differing from linear control theory and linear control systems, which typically rely on the local linearization of a nonlinear system around some equilibrium, this module addresses nonlinear concepts for the analysis and the control of nonlinear systems. The course covers the following topics:

• Introduction to the dynamic analysis of nonlinear systems
• Differential geometric concepts
• Exact feedback linearization
• Differential flatness and flatness-based feedforward and tracking control
• Lyapunov theory and Lyapunov-based design methods

Problem sets are considered in the exercises to apply the developed methods using analytical tools as well as computer algebra systems to realize the design approaches.

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