A new adaptive designated-time control for uncertain nonlinear systems with output constraint and its application in electromechanical systems

This paper tackles adaptive designated-time stabilization for a category of uncertain nonlinear systems subject to time-varying asymmetric output constraints. The primary technique is to construct an event-triggered parameter estimation related to an optimization-based strategy. In terms of improved transformations with a refined performance function, we create an adaptive designated-time stabilizer to resolve the singularities arising from infinite control gains at the designated time instant, avoiding numerical blow-up and unifying the control design for both constrained and unconstrained systems. Compared with results in prescribed-time stabilization framework, our approach not only guarantees that the state of closed-loop systems enters a compact set by any designated-time instant, remains within it thereafter and eventually hits zero, but also effectively estimates unknown parameters within a finite time. Finally, we employ the control of the electromechanical system to demonstrate the practical effectiveness and superiority of the developed strategy.