Course

Unit I

Modeling: transfer function and state-space representations of differential governing equations; time and frequency-domain system response.

Unit II

Analysis: stability of linear and nonlinear systems; nominal sensitivity functions; Nyquist stability criterion; stability margins; sensitivity, robustness, and the robust stability theorem; design specifications and characterization of constraints; effect of open-loop integrators, poles and zeros; frequency-domain design limitations; eigenvalue and eigenvectors; Jordan canonical form; controllability and observability and detectability; canonical decomposition.

Unit III

Design: Pole placement techniques in both the frequency domain and via state feedback; full state and reduced-order observer design; output feedback design; transfer function interpretations of output feedback design; introduction to the linear quadratic regulator.

Learning Objectives

LO1: To learn to model physical systems using transfer function and state-space
representations and analyze time and frequency-domain responses.

LO2: To understand various stability analysis techniques and control system characteristics
such as robustness, controllability, and observability.

LO3: To apply frequency-domain and state-space methods for control system design with
performance specifications.

LO4: To explore advanced control design techniques such as pole placement, observer design,
and optimal control using LQR.

Course Outcomes

CO1: Develop mathematical models of physical systems using transfer functions
and state-space methods and analyze their time/frequency response.

CO2: Analyze the stability, sensitivity, and robustness of control systems using
frequency-domain tools and state-space concepts.

CO3: Assess system properties such as controllability, observability, and
detectability using canonical transformations.

CO4: Design control systems using pole placement, observer design, and optimal
control (LQR) methods in both time and frequency domains.

CO-PO Mapping

Textbook

1. Feedback Systems: An Introduction for Scientists and Engineers, Karl Johan Astrom and Richard Murray

References:

1. Multivariable Feedback Control: Analysis and Design, Sigurd Skogestad and Ian Postlethwaite, Wiley, 2nd , 2005.
2. Ogata, Modern Control Engineering, 5th edition, PHI, 2012.