Nonlinear Control: An introduction to vector fields, flows and integral curves of differential equations, Lie Brackets, Frobenious theorem, Orbits, accessibility and controllability, Control design based on Liapunov’s method
Feedback Linearization: Feedback Linearization and the canonical form, Input‐state Linearization of SISO systems, Input output Linearization of SISO systems
Basic mathematical concepts: Finite dimensional optimization, Infinite dimensional optimization, Conditions for optimality, Performance measures for optimal control problems.
Introduction to C: 'Hello World!' program, Fizz-buzz program, and Fizz-Buzz-Zazz program.
Micro controllers and DSP: Getting started with Code composer studio/ PSoC Creator: Architecture and review of Digital Signal Controllers/ microcontroller (PSoC), Architecture of PSoC-5 LP, PSoC Creator edit and debug modes, blinking of an LED with one second ON, half second OFF
Vectors: Representation and Dot products, Norms, Matrices: The Four Fundamental Spaces of a Matrix, The Matrix as a Linear Operator, The Geometry associated with matrix operations, Inverses and Generalized Inverses, Matrix factorization/Decompositions, rank of a matrix, Matrix Norms.
Basics of feedback control: History and motivation for feedback; terminologies, Frequency response, Stability concepts, Bandwidth, Transient response, closed loop design specifications w.r.t tracking and disturbance rejection, Sensitivity to parameter variations. Linear Control System Design Techniques: PD, PI and PID controllers, Lead and Lag compensators, Controller design with root locus technique, frequency response technique and state-space technique.
Introduction to Modern Control Theory: Introduction to state‐space versus transform methods in linear systems; internal versus input/output formulation; discrete‐time and continuous‐ time systems; Solution to LTI and LTV systems for homogeneous and non-homogeneous cases. Computation of matrix exponentials using Laplace transforms and Jordan Normal form. Applications of Eigen values and Eigen vectors.
Introduction to Nonlinear systems: Non-linear elements in control systems, overview of analysis methods. Phase plane analysis: Concepts of phase plane analysis, Phase plane analysis of linear and nonlinear systems, Existence of limit cycles. Fundamentals of Liapunov theory: Nonlinear systems and equilibrium points, Concepts of stability, Linearization and local stability, Lyapunov’s direct method, Invariant set theorems, Lyapunov analysis of LTI systems, Krasovskii’s method, Variable gradient method, Physically motivated Lyapunov functions.
Classical scaling in CMOS, Moore’s Law, Clean room concept, Material properties,crystal struc- ture, lattice, Growth of single crystal Si, Cleaning and etching, Thermaloxidation, Dopant diffu- sion in silicon, Deposition & Growth (PVD, CVD, ALD,epitaxy, MBE, ALCVD etc.),Ion-im- plantation, Lithography (Photolithography, EUVlithography, X-ray lithography, e-beam lithog- raphy etc.), Etch and Cleaning, CMOSProcess integration, Back end of line processes (Copper damascene process, Metalinterconnects; Multi-level metallization schemes), Advanced technol- ogies(SOIMOSFETs, Strained Si, Silic
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