Course

Unit I

Similarity transformations, diagonal form and Jordan form, functions of a square matrix, Lyapunov equation, quadratic form and positive/negative definiteness; Singular value decomposition, norms of matrices, solution of LTI state equations; Input-output stability of LTI systems, internal stability, Lyapunov theorem; Controllability, observability, canonical decomposition, minimal realizations and coprime fractions, state feedback and state estimators.

Unit II

Qualitative behavior near equilibrium points, limit cycles, existence of periodic orbits, Lyapunov stability; Input output stability, L stability, L2 gain; Feedback system: The small gain theorem; Passivity, memoryless functions, state models, feedback systems: passivity theorem, absolute stability, circle criterion, Popov criterion; Feedback control: Stabilization via linearization, integral control, integral control via linearization.

Unit III

Combinational circuit building blocks – arithmetic circuits, Multiplexers – Decoders – Encoders; Sequential circuit building blocks – Flip-flops, Counters, Synchronous sequential circuits – Basic design steps – State assignment problem – Design of Mealy and Moore state models.

Unit IV

MOSFET Biasing and configurations – Review of MOSFETs, basic amplifier configurations, MOSFET at dc, biasing, Load line analysis; MOSFET amplifier- Small-signal analysis, Single-stage amplifier, Common Source, Common Gate, Source Follower. 

Learning Objectives

LO1.  To understand mathematical concepts used in LTI systems.

LO2.  To impart knowledge in control theory concepts like system stability and performance.

LO3.  To provide insight in design and implementation of digital logic circuit systems.

LO4.  To develop the ability to analyze MOSFET-based electronic circuits

Course Outcomes

CO1: Analyze LTI systems using state-space models, transformations, and canonical forms.                                              

CO2: Analyze and evaluate the stability of dynamical systems and stability techniques in linearization and integral control.             

CO3: Design and analyze combinational and sequential digital logic circuits, including Mealy and Moore machines.                                           

CO4: Design and analyze analog MOSFET amplifier circuits using small-signal models and biasing methods. 

CO-PO Mapping

Textbook

1. Mechatronics: Electromechanics and Control Mechanics (Denny Miu)
2. Stephen Brown, Zvonko Vranesic, ?Fundamentals of Digital logic with Verilog Design?, Tata McGraw Hill Publishing Company Limited, Special Indian Edition, 2007.
3. Sedra, K. C. Smith and A. N. Chandorkar, ?Microelectronic Circuits -Theory and Applications?, Seventh Edition, Oxford University Press, 2017.

References:

1. Chen, Linear system theory and design, third edition, Oxford,
2. Khalil, Nonlinear systems, third edition, Prentice Hall,
3. Franklin, Feedback control of dynamic systems, Prentice Hall,
4. M Morris Mano and Michael D Ciletti, Digital Design with Introduction to the Verilog HDL, Pearson Education, Fifth Edition, Fifth Edition, Fifth Edition, Fifth Edition, 2015
5. Robert L Boylestad and Louis Nashelsky, ?Electronic Devices and Circuit Theory?, Eleventh Edition, Pearson India Education Services Pvt. Ltd.,