Syllabus

Module-1: Signal Processing in Digital Control, Models of Digital Control Devices and Systems, Z-Transform. (8 hours)

Module-2: Z-Plane Analysis of Discrete-Time Systems, Stability analysis of discrete systems: location of poles, Jury's stability criterion, stability analysis through bilinear transforms, Compensator Design tecniques (Lead, Lag, Lead-Lag). (12 hours)

Module-3: State-space description (canonical forms such as Controllable Canonical Form, Observable Canonical Form, Diagonal Canonical Form, Jordan Canonical Form), Solution of state-space, Lyapunov stability analysis (8 hours)

Module-4: Design of Digital Controller: Pole Placement (State-Feedback) and observer design, Ackermanns Formula, Linear Quadratic Optimal Control, Polynomial equation approach. (8 hours)

To introduce the digital implementation of control systems and highlight the practical challenges.

To design, analyze and control the dynamical systems in discrete domain.

To design digital controllers for hybrid systems.

CO-1: Understand the various control blocks and components of a digital control system.
CO-2: Analyze the performance and stability of sampled data systems in Z-domain.
CO-3: Design digital controllers or compensators in frequency domain and assess their performance based on the desired specifications.
CO-4: Apply state-variable concepts to design controllers for discrete time systems.
CO-5: Understand the implementation issues corresponding to digital control systems.

Benjamin C. Kuo, Digital Control Systems, Oxford University Press , 2012

M. Gopal, Digital Control and State Variable Methods, TMH , 2003

G.F. Franklin, J. D. Powell, M.L. Workman, Digital Control of Dynamic Systems, Pearson , 2008

Katsuhiko Ogata, Discrete-time control systems, NJ: Prentice-Hall , 1995