Resilient controller design availing recursive technique rooted Lyapunov function for a dynamic system

Traditional control of nonlinear processes is based on conventional linear control theories, due to existence of wealthy tools for the linear design and analysis. Nonlinear control theories are always deal the concept of nonlinear control design. Recursive (backstepping) technique is a novel framework for nonlinear control design. Backstepping is recently developed design tool for constructing globally stabilized control laws for a certain class of nonlinear dynamic systems. Backstepping technique is designed by breaking down a complex nonlinear system into smaller subsystems and design control Lyapunov function and virtual controls for each and every subsystem individually. Finally, combined the individual controllers designed for the subsystem and make a single one. Lower triangular form can only handle with this technique. A trademark of backstepping is that allows us to benefit from useful nonlinearities. This can be done by choosing virtual control laws properly. Effectiveness of the controller is demonstrated through simulations for large perturbations in plant parameters. The main advantage of backstepping technique is that it can use everywhere irrespective of the operating points.