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  • 16 230J: Plates and Shells

    3.00 Credits
    Massachusetts Institute of Technology

    Derivation of elastic and plastic stress-strain relations for plate and shell elements. Bending and buckling of rectangular plates. Nonlinear geometric effects. Post-buckling and ultimate strength of cold formed sections and typical stiffened panels used in naval architecture. General theory of elastic shells and axisymmetric shells. Buckling, crushing and bending strength of cylindrical shells with application to offshore structures. Application to crashworthiness of vehicles and explosive and impact loading of structures. Prerequisite:    Prereq: 2.074, 2.080, or 16.21
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  • 16 30: Feedback Control Systems

    4.00 Credits
    Massachusetts Institute of Technology

    Reviews classical control design using root locus and frequency domain methods (Nyquist diagrams and Bode plots). Studies state-space representation of dynamic systems, including model realizations, controllability, and observability. Introduces the state-space approach to control system analysis and synthesis, including full state feedback using pole placement, state estimation, and the design of dynamic control laws. Also covers performance limitations and robustness. Extensive use of computer-aided control design tools. Applications to various aerospace systems including navigation, guidance, and control of vehicles. Students taking the graduate version complete additional assignments. Prerequisite:    Prereq: 16.06 or 6.302
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  • 16 301: Topics in Control, Dynamics, and Automation

    0.00 - 6.00 Credits
    Massachusetts Institute of Technology

    Provides credit for work on material in control and/or dynamics and/or automation outside of regularly scheduled subjects. Intended for study abroad under either the department's Year Abroad Program or the Cambridge-MIT Exchange Program. Credit may be used to satisfy specific SB degree requirements. Requires prior approval. Consult department. Prerequisite:    Prereq: Permission of department
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  • 16 31: Feedback Control Systems

    3.00 Credits
    Massachusetts Institute of Technology

    Graduate-level version of 16.30; see description under 16.30. Includes additional homework questions, laboratory experiments, and a term project beyond 16.30 with a particular focus on the material associated with state-space realizations of MIMO transfer function (matrices); MIMO zeros, controllability, and observability; stochastic processes and estimation; limitations on performance; design and analysis of dynamic output feedback controllers; and robustness of multivariable control systems. Prerequisite:    Prereq: 16.06 or 6.302
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  • 16 322: Stochastic Estimation and Control

    3.00 Credits
    Massachusetts Institute of Technology

    Estimation and control of dynamic systems. Brief review of probability and random variables. Classical and state-space descriptions of random processes and their propagation through linear systems. Frequency domain design of filters and compensators. The Kalman filter to estimate the states of dynamic systems. Conditions for stability of the filter equations. Prerequisite:    Prereq: 16.31; 6.041, 6.431, or 16.09
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  • 16 323: Principles of Optimal Control

    3.00 Credits
    Massachusetts Institute of Technology

    Studies basic optimization and the principles of optimal control. Considers deterministic and stochastic problems for both discrete and continuous systems. Solution methods include numerical search algorithms, model predictive control, dynamic programming, variational calculus, and approaches based on Pontryagin's maximum principle. Includes many examples and applications of the theory. Prerequisite:    Prereq: 18.085, 16.31
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  • 16 333: Aircraft Stability and Control

    3.00 Credits
    Massachusetts Institute of Technology

    Brief review of applied aerodynamics and modern approaches in aircraft stability and control. Static stability and trim. Stability derivatives and characteristic longitudinal and lateral-directional motions. Physical effects of wing, fuselage, and tail on aircraft motion. Flight vehicle stabilization by classical and modern control techniques. Time and frequency domain analysis of control system performance. Human pilot models and pilot-in-the-loop control with applications. V/STOL stability, dynamics, and control during transition from hover to forward flight. Parameter sensitivity and handling quality analysis of aircraft through variable flight conditions. Brief discussion of motion at high angles-of-attack, roll coupling, and other nonlinear flight regimes. Prerequisite:    Prereq: 16.31 or permission of instructor
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  • 16 338J: Dynamic Systems and Control

    4.00 Credits
    Massachusetts Institute of Technology

    Linear, discrete- and continuous-time, multi-input-output systems in control, related areas. Least squares and matrix perturbation problems. State-space models, modes, stability, controllability, observability, transfer function matrices, poles and zeros, and minimality. Internal stability of interconnected systems, feedback compensators, state feedback, optimal regulation, observers, and observer-based compensators. Measures of control performance, robustness issues using singular values of transfer functions. Introductory ideas on nonlinear systems. Recommended prerequisite: 6.302. Prerequisite:    Prereq: 6.003, 18.06
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  • 16 343: Spacecraft and Aircraft Sensors and Instrumentation

    3.00 Credits
    Massachusetts Institute of Technology

    Covers fundamental sensor and instrumentation principles in the context of systems designed for space or atmospheric flight. Systems discussed include basic measurement system for force, temperature, pressure; navigation systems (Global Positioning System, Inertial Reference Systems, radio navigation), air data systems, communication systems; spacecraft attitude determination by stellar, solar, and horizon sensing; remote sensing by incoherent and Doppler radar, radiometry, spectrometry, and interferometry. Also included is a review of basic electromagnetic theory and antenna design and discussion of design considerations for flight. Alternate years. Prerequisite:    Prereq: Permission of instructor
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  • 16 346: Astrodynamics

    3.00 Credits
    Massachusetts Institute of Technology

    Fundamentals of astrodynamics; the two-body orbital initial-value and boundary-value problems with applications to space vehicle navigation and guidance for lunar and planetary missions with applications to space vehicle navigation and guidance for lunar and planetary missions including both powered flight and midcourse maneuvers. Topics include celestial mechanics, Kepler's problem, Lambert's problem, orbit determination, multi-body methods, mission planning, and recursive algorithms for space navigation. Selected applications from the Apollo, Space Shuttle, and Mars exploration programs. Prerequisite:    Prereq: 18.03
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