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Controllability and Reachability
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Related lectures (38)
Multivariable Control: System Theory and Applications
Covers system theory, classic feedback control, and applications in green building and natural gas refrigeration plants.
Introduction to Multivariable Control
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Multivariable Control: Weight Design and Stability Analysis
Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.
Eigenvalue Assignment in Multivariable Control
Explores Eigenvalue Assignment in multivariable control, emphasizing the effects of discretization and the challenges in preserving system structure.
Multivariable Control: System Theory and Linear Systems
Introduces multivariable control, covering system theory, linear systems, and time discretization.
Observability and Controllability
Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.
Controllability and Observability
Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.
Infinite-Horizon LQ Control: Solution & Example
Explores Infinite-Horizon Linear Quadratic (LQ) optimal control, emphasizing solution methods and practical examples.
State-Space Representation: Controllability and Observability
Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.
State-Space Representation: Structure Theorem
Covers the structure theorem for state-space representations and companion forms.
Multivariable Control: Design and Analysis
Covers the design and analysis of multivariable control systems, focusing on stability and zero steady-state tracking error.
Exact and Approximate Sampling in Multivariable Control
Explores exact and approximate sampling in multivariable control systems, discussing stability, eigenvalues, and system properties.
Multivariable Control: Equilibria and Stability Analysis
Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.
Multivariable Control: System Theory and Linear Systems
Introduces the basics of multivariable control, focusing on system theory and linear systems.
Linear Quadratic Optimal Control: Theory and Applications
Explores Linear Quadratic optimal control theory, covering FH-LQ and IH-LQ problems and the importance of observability in control systems.
Reachability and Controllability of LTI Systems
Explores reachability and controllability of LTI systems, discussing testing methods, properties, definitions, and their relationship.
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
Multivariable Control: State-Feedback and Eigenvalue Assignment
Covers state-feedback controller design for multivariable systems and discusses simplified methods for MIMO systems.
Multivariable Control
Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
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Covers the basics of state-space representation and explores transformations to different forms.
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