Introduction to nonlinear phenomena, attractors, oscillations, bifurcations, planar systems and their phase space, input/output and state-space models, differential equations as system models, continuous dependence on parameters. Popov’s stability test, Lyapunov stability theory and direct method, input-output stability, analysis based on continuity, Lyapunov functions and storage functions, local behavior at Eqilibria and near trajectories, singular perturbations and averaging, volume evolution and system analysis, local controllability. passivity, perturbed systems, feedback linearization, differential geometric approach for controller design, flat systems, sliding mode control, back-stepping control, generalized predictive control, Lyapunov based adaptive control, nonlinear observers, fuzzy controllers, hybrid systems

Suggested Text:

  1. Nonlinear Systems by H.K. Khalil. 2017
  2. Nonlinear Systems – Analysis and Control by S. S. Sastry. 1999
  3. Nonlinear Systems Analysis by M. Vidyasagar. 2002
  4. Applied Nonlinear Control by Jean-Jacques Slotine,‎ Weiping Li. 1991