This course introduces students to recently developed and advanced techniques for solving modeling and control problems. The course presents theory and methodology for analysis and modeling of systems and signals, and methods for design and synthesis of feedback controllers.The emphasis of the course will be on mathematical foundations and numerical methods for system modeling from physical properties, identification, andadvanced control of dynamical systems. In particular, it explores state space representation, dynamical modeling from Lagrange equations,model validation, model approximation, Kalman filtering, real-time systemidentification.The course also discovers control techniques such as state-feedback controller, output feedback controller, state observer, stabilizing controllers, automatic tuning, gain scheduling, and auto-calibration.