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Multivariable Control: System Theory and Linear Systems
This lecture covers the fundamentals of multivariable control, including system theory, linear systems, and time discretization. Topics include state equations, output equations, linear time-varying systems, and the discretization of continuous-time dynamics. The instructor provides insights on state trajectories, state-space models, and the characteristics of linear systems. Additionally, the lecture delves into the concept of Single-Input Single-Output (SISO) systems and Multi-input Multi-Output (MIMO) systems. Various textbooks are recommended for further reading, emphasizing digital control of dynamic systems and linear optimal control systems.