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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 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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