Control Engineering

General objectives The course presents the basic methodologies for studying the properties of processes described by a nonlinear model and designing ad-hoc control laws for enforcing a desired behavior. The models at hand are described by a system of differential equations, assumed affine in the control. These models are successfully used to describe a variety of processes of interest in the engineering domain. Specific objectives Knowledge and understanding: The student will be able to understand the fundamental concepts for the analysis of nonlinear systems and control, including stability concepts and those that make use of differential geometry. The student will be able to distinguish the dynamic behaviors of linear and nonlinear systems. They will know the main control techniques for nonlinear systems to solve various problems such as stabilization, regulation, and tracking. Apply knowledge and understanding: Apply the acquired knowledge to design and implement effective controllers for nonlinear systems, taking into account the specific required performance and system limitations. Utilize advanced methods of nonlinear systems analysis to predict and understand the system's behavior under a wide range of operating conditions. Conduct virtual experiments and numerical simulations to assess the effectiveness of proposed control strategies and compare performance with linear systems. Critical and judgment skills: The student will be able to critically evaluate the limitations of linear approximations in the analysis and control of nonlinear systems and identify situations where such approximations may lead to inaccurate or inadequate results. Additionally, they will be able to critically analyze the results of simulations and experimental tests to assess the effectiveness of proposed control strategies and identify potential improvements. Finally, they will be able to evaluate the applicability of proposed control solutions in real engineering contexts, considering implementation constraints, costs, and available resources. They will also be able to critically read scientific articles. Communication skills: The student will be able to communicate theoretical concepts and design methodologies related to nonlinear systems and control clearly and effectively, both verbally and in writing. They will know how to present analysis and simulation results convincingly through technical reports, oral presentations, and technical documents. They will be able to collaborate effectively with other students and professionals in the context of designing and implementing control solutions for nonlinear systems, communicating their ideas and opinions clearly and concisely. Learning ability: The course methods aim to develop the ability to understand different methods, possibly devising individual ones, in solving problems related to analysis and control under study.