Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints
Abstract
:1. Introduction
- (1)
- The conservatism in initial conditions inherent to BLF-based control methods, as observed in [24,25,26,27], poses significant challenges for practical implementation. Although the integral BLF approach proposed in [29] alleviates this issue to some extent, it remains ineffective in addressing time-varying asymmetric output constraints. To address this limitation, we employ the ANM method, effectively alleviating the conservatism in the system’s initial output constraints.
- (2)
- The proposed ANM method is applicable to asymmetric time-varying output constraints, including unilateral constraints, unconstrained cases, and constant constraints, offering greater generality compared to the nonlinear transferred function approach discussed in [28]. Our approach permits the constraint functions to be arbitrary smooth time-varying functions, in contrast to [27,28,30], where they are required to have opposite signs.
- (3)
2. Problem Formulation
2.1. System and Assumptions
2.2. Preliminaries
3. Control Design and Stability Analysis
3.1. State-Constrained Transformation
3.2. Controller Design
3.3. Stability Analysis
- (1)
- the prescribed output constraint is not violated, i.e., the output satisfies
- (2)
- all signals of the closed-loop system are bounded on ;
- (3)
- the tracking error possesses the following property:
4. Example
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Liu, Y.; Wang, H.; Zhu, Q.; Jia, F. Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints. Mathematics 2025, 13, 986. https://doi.org/10.3390/math13060986
Liu Y, Wang H, Zhu Q, Jia F. Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints. Mathematics. 2025; 13(6):986. https://doi.org/10.3390/math13060986
Chicago/Turabian StyleLiu, Ying, Hui Wang, Quanxin Zhu, and Fujin Jia. 2025. "Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints" Mathematics 13, no. 6: 986. https://doi.org/10.3390/math13060986
APA StyleLiu, Y., Wang, H., Zhu, Q., & Jia, F. (2025). Zero-Error Prescribed-Time Tracking Control for Switched Non-Square MIMO Nonlinear Systems Subject to Asymmetric Time-Varying Output Constraints. Mathematics, 13(6), 986. https://doi.org/10.3390/math13060986