ELL 700: Linear Systems

Syllabus

• Introduction.

• Basics of Linear Algebra.

• Systems as Differential Equations: Solution using state variables.

• Systems with Inputs: Controllability.

• Systems with Output: Observability/ Kalman Decomposition.

• Controller Canonical Form for SISO system/Pole-zero Cancellation.

• Internal and External i/o Stability.

• Pole Placement and Stabilizability.

• Observer, Detectability and Separation Principle.

• Disturbance Decoupling, Controlled Invariant, and Controllability Subspaces.

• LQR Control.

Reference Books

• Control Theory for Linear Systems by H. L. Trentelman, A. A. Stoorvogel, M. Hautus.

• Linear Multivariable Control- A Geometric Approach by M. Wonham.

• Linear Systems by Thomas Kailath.