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    Quick Facts

    Medium Of InstructionsMode Of LearningMode Of Delivery
    EnglishSelf StudyVideo and Text Based

    Courses and Certificate Fees

    Fees InformationsCertificate AvailabilityCertificate Providing Authority
    INR 1000yesIIT Bombay

    The fees for Nonlinear Adaptive Control is : 

    Fees typeAmount
    Exam feesRs. 1,000

    The Syllabus

    • Introduction to Adaptive Control; Common myths in control; Vector, Matrix and Signal Norms

    • Barbalat’s Lemma and Illustration of use; Equilibrium definitions;

    • Lyapunov Stability definitions – stability, uniformity, attractivity, asymptotic stability, exponential stability; Stability of Linear systems.

    • Function classes; Definiteness, radial boundedness, decrescence; Lyapunov stability theorems

    • La Salle’s Invariance; Persistence of Excitation; Uniform Complete Observability; Alternate Exponential stability theorems

    • Certainty Equivalence Adaptive control – First and Second order systems; Detectability obstacle and Ortega construction

    • Introduction to Backstepping in Adaptive Control; Backstepping for unmatched unknown

    • Unknown Control Gain adaptation; Model Reference Adaptive Control (MRAC)

    • Integrator backstepping adaptation general case; Extended Matching – integrator backstepping adaptation

    • Tuning Functions based integrator backstepping adaptation, Robustness in adaptive control – sigma modification; Parameter projection

    • Initial excitation adaptive control – single and double integrator

    • Deep Learning – Introduction and applications, Radial Basis function based Neural Network function approximation, Multilayer Neural Networks

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