Designated-time fault-tolerant stabilization for planar nonlinear systems with unknown time-varying powers and deferred constraints

This paper investigates the stabilization for a class of uncertain planar nonlinear systems with unknown time-varying powers and deferred output constraints. The innovation lies in removing the condition on the relative magnitudes of unknown time-varying powers and providing a unified scheme which ensures that the system state enters an adjustable neighborhood of the origin within an arbitrarily designated time instant and ultimately converges to the origin. The effectiveness of our strategy is demonstrated via the stabilization of the dynamical model of a boiler-turbine unit.