Prescribed-time control of uncertain strict-feedback-like systems

In this paper, we present a control method for achieving prescribed-time regulation of strict-feedback-like systems in the presence of unknown yet time-varying control gains and mismatched uncertainties. The developed control algorithms are capable of full-state regulation within pre-set time independent of initial condition and any other design parameter. The corresponding control action is continuous and bounded during the entire control process, which, for vanishing uncertainties/disturbances, reduces to zero as the states approach the equilibrium and remains zero thereafter, allowing for nonstop running of the system beyond the settling time. The efficiency of the proposed method is verified through numerical examples.