Linear Quadratic Regulator Example

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Bode Diagram Synthesis

Covers the synthesis in the Bode diagram, dynamic controls, and the link between the Bode and Nyquist diagrams.

State Representation and Controller Design

Covers state representation, controller design, LQR controllers, and optimal control criteria.

Linear Quadratic Optimal Control: Analysis and Solution

Explores Linear Quadratic optimal control, analyzing cost, and presenting the solution to the FH-LQ problem.

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: Weight Design and Stability Analysis

Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.

State-Space Representation: Controllability and Observability

Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.

StateSpace ControlDesign

Explores full state feedback control design, focusing on pole placement and linear state-feedback controller design for systems like a pendulum.

Nyquist Criterion: Stability Analysis

Covers the Nyquist criterion for stability analysis in control systems, using the Nyquist diagram to determine closed loop poles.

Loop Shaping: Goals

Focuses on designing a controller to meet specific requirements by shaping the response of closed-loop transfer functions.

Control and Field Level Devices

Covers the fundamentals of control and field level devices in industrial automation, including PLCs, programming, different types of controllers, and advanced control strategies.