Master in Electrical Engineering (Control Systems)
Compulsory Courses
Properties of feedback control systems, Mathematical models of basic components, State-variable models of feedback systems, time-domain analysis, stability, transform analysis, frequency domain techniques, root-locus, design of single input-output systems, simple compensation techniques.
Analysis, design and optimisation of analog and digital control systems, concepts of controllability and observability, specification of optimum performance indices. Utilisation of constraints in fixed configuration compensator design system parameter identification
from measured data. Adaptive and optimal control problems. Computer techniques in design and optimisation.
Probability and random variables, characteristic functions, transformation of random variables, sequences of random variables, linear mean squared estimation, stationary estimation, stationary random process, correlation functions, power spectrum output of linear systems with stochastic input, Gaussian process.
Identification of adaptive control systems, mathematical modeling of the systems based on measurement data that may be limited or uncertain. Adaptive control of mathematically modeled systems. Various approaches including least square method of identification, analysis, design and stability study of adaptive control systems.
Examples of Discrete Data and Digital Control Systems, Signal Conversion and Processing, Sampling theorem, z-transform and inverse z-transform. The state-variable approach. Stability of Digital control system. Digital Simulation and digital redesign.
Elective Courses
Algebraic theory of multivariable feedback, Static and dynamic decoupling, Jnvertibility, Model control, Integrity, Computer aided frequency domain design techniques using inverse Nyquist arrays and characteristic logic design.
Identification of Linear and non Linear Systems, approximate analysis of non linear systems, describing functions, Krylov and Bogoliubov’s asymptotical method and Tsypkin’s locus. Forced oscillation, jump response, stability analysis, Liapunov’s criterion, Lure’s problem and Popes method
Markov Chains, state classification, kolmogorov equations, applications to Probabilistic finite state machines, Birth-death process, applications to queing theory, buffer problems and the design of communication nets. Continuous state processes, diffusing processes, passage time and estimation problems, estimation and power spectra. Stochastic difference and differential equation.
Optimal estimation theory including linear and nonlinear estimation of discrete and continuous random functions. Wiener and Kalman filter theory.
Introduction to random processes, properties of Markov processes, systems of covariance, deterministic and stochastic control equivalence, dynamic programming for Markov processes, principle of optimality, Kalman filtering, smoothing and preciting. The separation theorem and applications, concepts of adaptive estimations.
An introduction to oriented and non-oriented graphs, circuit concepts of linear vector space, network analysis and synthesis, topological formulae, the theory of switching, logic network paths, reachability, connectedness, tree representations, transportation flows, communication and manipulation of computer data, PERT and other related techniques.
Distribution System Planning and Automation, Load Characteristics, Application of Distribution transformation, Design of Sub-transmission lines and distribution substations, Design considerations of primary system. Design considerations of secondary systems, Voltage-Drop and Power loss calculations.
Distribution System Planning and Automation, Load Characteristics, Application of Distribution transformation, Design of Sub-transmission lines and distribution substations, Design considerations of primary system. Design considerations of secondary systems, Voltage-Drop and Power loss calculations.
Application of capacitors to distribution system, Distribution system voltage regulation. Distribution system protection, Distribution system reliability.
Intense and rigorous treatment of the constants of HV and EHV lines and cables, Mathematical modeling, Insulation coordination and their effects on insulation during short circuits, Travelling waves, Optimum loading of facilities, effects of line transients on insulation. HV DC transmission, Type of DC links, technical and economic advantages of DC transmission, Incorporation of HV DC into AC systems, Converter station equipment, skin effects.
Network and state space methods for reliability evaluation. Component reliability, Generating capacity reserve evaluation and operating reserve evaluation. Interconnected systems, Bulk power system reliability. Area supply reliability, distribution systems reliability, reliability modeling.