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Lecture
Control Theory Fundamentals
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Related lectures (55)
State-Space Representation: Structure Theorem
Covers the structure theorem for state-space representations and companion forms.
State-Space Representation: Controllability and Observability
Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.
Controllability and Reachability
Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.
State-Space Representation: Basics & Transformations
Covers the basics of state-space representation and explores transformations to different forms.
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.
Stability: Poles, Zeros, and Control
Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.
Balanced Realization: SISO Case
Covers the concept of balanced realization in the SISO case, focusing on system observability and controllability.
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.
SISO Polynomial Controllers: Sylvester Matrix, Internal Model Principle
Covers the design of SISO polynomial controllers using concepts such as the Sylvester matrix and model matching.
Multivariable Control: Weight Design and Stability Analysis
Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.
Motor Intelligence for Soft Robots
Explores the control challenge in soft robotic systems and the use of simplified models with nonlinear control theory for dynamic task execution.
Observer Design
Covers the design of observers in control systems and the computation of state feedback controllers.
Safe Learning in Automatic Control Systems
Explores safe learning in automatic control systems, covering challenges, risk-sensitive control, and predictive safety filters.
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.
Introduction to Feedback Control Systems: Concepts and Applications
Covers the principles of feedback control systems and their applications in various fields.
Effects of Poles and Zeros on System Response
Explores the effects of poles and zeros on system response and the importance of system modeling and control strategies.
Control Theory Fundamentals
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Covers the basic concepts of control theory and the selection of optimal controls.
Stability of ODE
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Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.
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