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Lecture
Theory & Practice of Kalman Filter
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Multivariable Control: System Theory and Applications
Covers system theory, classic feedback control, and applications in green building and natural gas refrigeration plants.
Kalman Filter: State Space Models
Introduces the Kalman Filter for estimating the state of a dynamic system from noisy measurements, covering prediction, updating, and filtering steps.
Dynamical Systems: Laplace Transform
Covers the Laplace transform, transfer functions, and properties of common functions in dynamical systems.
Observability and Duality
Delves into the observability of LTI systems, covering controllability, duality, and observability tests.
Kalman Filter: Linearized vs Extended
Explores the linearized and extended Kalman Filters, illustrating their application in nonlinear systems and the estimation of unknown parameters.
Discrete-time Systems and Lyapunov Theory
Covers the review of linear discrete-time systems and Lyapunov theory, focusing on stability and equilibria.
Natural Transformations: Functors and Categories
Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.
Multivariable Control: System Theory and Linear Systems
Introduces multivariable control, covering system theory, linear systems, and time discretization.
Introduction to Multivariable Control
Covers the basics of multivariable control, including system modeling, temperature control, and optimal strategies, emphasizing the importance of considering all inputs and outputs simultaneously.
Linear Time Invariant Systems: Impulse Response and Convolution
Covers linear time invariant systems, focusing on impulse response and convolution.
