Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints

Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints

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Previous studies typically assume that output constraints are symmetric or time-invariant.However, effectively addressing asymmetric and time-varying output constraints remains an unsolved issue, especially in the case of switched non-square multi-input multi-output (MIMO) nonlinear systems.To tackle this challenge, this paper first establishes a prescribed-time (PT) Lyapunov criterion for switched nonlinear systems.

Second, an asymmetric nonlinear mapping (ANM) method is proposed to handle asymmetric time-varying output constraints.Compared to the barrier Lyapunov we care vitamin a and d ointment function (BLF) approach, the ANM method relaxes the initial output conditions and the constraint functions are not necessarily required to be opposite in sign.Finally, a PT tracking controller is designed for a class of switched MIMO nonlinear systems with a non-square control coefficient matrix by syil x5 price using the time-varying gain technique.

This controller achieves zero-error tracking within the prescribed time while ensuring that output constraints are satisfied.The effectiveness of the proposed control strategy is validated through numerical and simulation examples.