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State-Space Methods to Control Systems
The Power of Control
Terminology
Modeling of dynamic systems
Laplace transform
Inverse Laplace transform
Z transform
Inverse Z transform
Introduction to the state space
From state space to transfer functions
State-space realization
Solution of state equations
State-space discretization
Transfer function discretization
Stability overview and the method of eigenvalue and pole locations
Lyapunov Stability
Controllability and observability
State-space discretization
Kalman decomposition
State feedback
Observers and observer-state feedback
Linear Quadratic (LQ) optimal control
Selected Topics in Advanced Controls
Dynamic programming
Discrete-time LQ optimal control
Review of probability theory
Principle of least squares
Kalman filter
Linear Quadratic Gaussian problem
Principles of feedback design
Discretization
Loop transfer recovery
Frequency-shaped LQ
Zero-phase-error tracking control
Preview control
Internal model principle and repetitive control
Disturbance observer
Contents
Laplace transform
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