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Information on ECE Ph.D. Qualifying Exam Subject Area Control Systems

Syllabus

Problem Sets


EE621: Nonlinear Control (Spring 2008)

Course Description: Methods for analysis and design of nonlinear control systems emphasizing Lyapunov theory. Second order systems, phase plane descriptions of ononlinerar phenomena, limit cycles, stability, direct and indirect method of Lyapunov, linearization, feedback linearization, Lyapunov-based design, and backstepping.

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EE602: Analytic Methods in Electrical Engineering (Spring 2008)

Course Description: The theory of linear algebra with application to state space analysis. Topics include Cauchy-Binet and Laplace determinant theorems, and system of linear equations; linear transformations, basis, and rank; Gaussian elimination; LU and congruent transformations; Gramm-Schmidt; eigenvalues, eigenvectors, and similarity transformations; canonical forms; functions of matrices; singular value decomposition; generalized inverses; norm of a matrix; polynomial matrices; matrix differential equations; state space; and controllability and observability.

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E246: Electronics & Instrumentation (Fall 2005, Fall 2006, Spring 2007, Fall 2007)

Course Description:Signal acquisition procedures, instrumentation components, electronic amplifiers, signal conditioning, low-pass, high-pass, and band-pass filters, A/D converters and antialiasing filters, embedded control and instrumentation, microcontrollers, digital and analog I/O, instruments for measuring physical quantities such as motion, force, torque, temperature, pressure, etc., FFT and elements of modern spectral analysis, random signals, standard deviation and bias.

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EE631 Cooperating Autonomous Mobile Robots (Fall 2006)

Course Description: Advanced topics in autonomous and intelligent mobile robots, with emphasis on planning algorithms and cooperative control. Robot kinematics, path and motion planning, formation strategies, cooperative rules and behaviors. The application of cooperative control spans from natural phenomena of groupings such as fish schools, bird flocks, deer herds, to engineering systems such as mobile sensing networks, vehicle platoon.

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Questions? Email yguo1@stevens.edu