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  • 3.00 Credits

    Introduction to the finite element method; applications to heat transfer, fluid flow and solids; introduction to transient analysis; analysis strategies using finite elements; introduction to solid modeling, finite element modeling and analysis using commercial codes.
  • 3.00 Credits

    Numerical techniques as applied to the solution of fluid flow and heat transfer problems; use of finite difference methods.
  • 3.00 Credits

    State-space approach to analysis of linear dynamic systems and control design, state-space representation, key topics in linear algebra and vector spaces, principles of controllability, observability, stability and performance specification; trade-offs between state variable and transfer function techniques. Observer designs, pole placement and optimal control theory; LQR and Kalman filtering.
  • 3.00 Credits

    Reviews topics from modern control engineering, characteristics of nonlinear systems. Phase Plate and Describing-Function techniques. Lyapunov theory and stability analysis; nonlinear feedback control systems using Lyapunov method. Advanced topics, variable structure system control, adaptive control-system analysis and design, robust adaptive control, optimal control and digital control. Preq: ME 8200 or consent of instructor. Students who have not completed ME 8200 but have completed a graduate-level course in modern control should request a registration override from the instructor.
  • 3.00 Credits

    This course focuses on formulating and solving applied optimal control problems, including regulation and tracking problems and higher-level planning and decision making problems. Several methods are presented for solving an optimal control problem and many applied examples from different engineering domains are presented. Dynamic Programming, a numerical technique for solving optimal decision making problems, and the now popular approach of Model Predictive Control, which allows imposing constraints on control inputs and system states along with numerical solution methods, are both introduced. In addition, necessary and sufficient conditions for optimality and Pontryagin Minimum Principle are introduced. Students are expected to have computer programming experience (MATLAB or the equivalent) and knowledge of states-space representation of dynamic systems and the basics of classical control before enrolling in this course.
  • 3.00 Credits

    Physical modeling, mathematical analysis and feedback principles for control of multidisciplinary dynamic systems, including mechanical, electrical, electromechanical, hydraulic and pneumatic systems. Transient response, root locus and frequency response principles applied to control of complex dynamic systems. Sensors, actuators and dynamic plant integration to develop, model, control and analyze dynamics systems. Students are expected to have completed an undergraduate course on system dynamics or obtained consent of instructor before enrolling in this course.
  • 3.00 Credits

    This course introduces students to engineering applications of parameter and state estimation. After a brief overview of basic concepts in probability, parameter estimation methods using Maximum Likelihood and Bayesian approaches are presented, followed by Random Processes, Least Square estimation, and Kalman Filtering for Linear Time-Invariant Systems. Applications in localization of robots, state estimation for vehicular systems, and Linear Quadratic Gaussian (LQG) control and adaptive control are discussed.
  • 3.00 Credits

    Application of variational principles in solid mechanics problems; virtual work; Castigliano's theorems on deflection and rotation; stationary potential energy; energy stability criterion; Hamilton's principle.
  • 3.00 Credits

    Fundamental concepts related to conduction and radiation heat transfer; analytical methods for steady and transient conduction heat transfer in one and two physical dimensions; radiation exchange between surfaces with and without radiatively participating media; combined conduction and radiation heat transfer.
  • 3.00 Credits

    Derivation of continuity, momentum, and energy equations for boundary layer flow; solutions for confined and external flow regimes in laminar and turbulent flow.
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