This study addresses the prescribed performance tracking control (PPTC) problem for a class of descriptor systems (DSs) based on the uncertainty and disturbance estimator (UDE). Firstly, a novel prescribed performance function (PPF) is proposed, which is independent of initial conditions and designed to regulate both the transient and steady-state behavior of the error systems through its convergence properties. Then, by introducing a homomorphic mapping function, the tracking control issue for constrained systems is equivalently transformed into the boundedness issue for unconstrained auxiliary systems. Next, the UDE-based control technique is implemented to counteract the uncertain dynamics within the auxiliary systems. Consequently, the UDE-based composite controller is proposed such that the PPTC problem can be solved. Finally, the effectiveness of proposed methodologies is demonstrated through a numerical example and two practical applications.
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