Control Engineering

General objectives The course presents basic methods for the analysis of stability properties of linear systems and for the design of stabilizing controllers. The models referred to are those characterized by a differential structure affine with respect to control; models suitable for representing a wide variety of processes of interest in engineering applications. Specific objectives Knowledge and understanding: The student will be able to understand the fundamental concepts of nonlinear stability theory and their application in the design of controllers that ensure it. Will know the main mathematical tools used in the analysis and design of stable nonlinear control systems (in a broad sense). Will understand the stability properties of nonlinear dynamical systems and their impact on the design of the control law. Apply knowledge and understanding: She/he will be able to apply the concepts presented to solve various control problems related to stabilization (e.g., stabilization of equilibrium points, regulation, trajectory tracking) for dynamical systems, taking into account the specific performance requirements and system limitations. She/he will be capable of using advanced methods of analysis of nonlinear systems to predict and understand the behavior of the system under a wide range of operating conditions. She/he will be able to conduct virtual experiments and numerical simulations to evaluate 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.