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It is highly desirable yet challenging to achieve zero-error tracking within a given short time period for uncertain multi-input–multi-output (MIMO) nonlinear systems. Previous results are primarily state-regulation oriented and are valid only for single-input single-output linear systems or nonlinear systems in normal-form. This note presents a tracking control solution for high-order MIMO nonlinear systems in strict-feedback-like form. The proposed control is able to achieve precise tracking within the prescribed time irrespective of initial conditions in the presence of mismatched uncertainties and nonvanishing disturbances.
Ye et al. (Tue,) studied this question.