Week 1: Introduction to modern control theory: state space modelling, state transition matrix. Canonical transformations – significance of real distinct, repeated and complex Eigen values, Examples.
Week 2: Controllability and observability. Designing state feedback controllers. Method for finding feedback gains, Examples.
Week 3: The State observer design. Observer dynamics faster than closed loop dynamics. Bass Gura formulation and Ackerman’s formula, SISO and MIMO systems. Examples.
Week 4: Optimal state space control system design. Longitudinal / lateral stability augmentation systems, autopilot design. Examples.
Week 5: Optimal state space control system design. Longitudinal / lateral stability augmentation systems, autopilot design. Examples. (Cont.)
Week 6: Basics of nonlinear control. Lyapunov stability theory. Criteria for local and global stability, Feedback linearization technique. Input output linearization.
Week 7: Backstepping Control. Sliding mode control. Backstepping sliding mode control. Adaptive Control. Adaptive integrator backstepping control. Examples
Week 8: Backstepping Control. Sliding mode control. Backstepping sliding mode control. Adaptive Control. Adaptive integrator backstepping control. Examples (Cont.)
Week 9: Basics of MATLAB/SIMULINK, Simulation of linear systems, Simulating spring mass damper system and pendulum system. Implementing state-space models in Simulink.
Week 10: Simulation of nonlinear controllers for general systems. Simulating aircraft nonlinear 6 degree of freedom equations of motion in MATLAB / SIMULINK. Simulating aircraft motion using state space model.
Week 11: Simulation of nonlinear controllers for general systems. Simulating aircraft nonlinear 6 degree of freedom equations of motion in MATLAB / SIMULINK. Simulating aircraft motion using state space model. (Cont.)
Week 12: Integrating PID controller to the Simulink model. Implementing nonlinear controllers such as sliding mode, backstepping to the aircraft model.
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