Academic Journal
Backstepping‐Based Composite Prescribed‐Time Control for Two‐Time‐Scale Systems: Backstepping-based composite prescribed-time control for two-time-scale systems
| Title: | Backstepping‐Based Composite Prescribed‐Time Control for Two‐Time‐Scale Systems: Backstepping-based composite prescribed-time control for two-time-scale systems |
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| Authors: | Ze‐Hong Zeng, Yan‐Wu Wang, Xiao‐Kang Liu, Zhi‐Wei Liu |
| Source: | International Journal of Robust and Nonlinear Control. 35:3116-3127 |
| Publisher Information: | Wiley, 2025. |
| Publication Year: | 2025 |
| Subject Terms: | backstepping control, Time-scale analysis and singular perturbations in control/observation systems, Linear systems in control theory, Finite-time stability, time-varying scaling function, two-time-scale system, prescribed-time stability |
| Description: | This paper explores the design of a composite prescribed‐time controller for two‐time‐scale systems (TTSSs). First, due to numerical issues caused by the small perturbation parameter, standard control design techniques for prescribed‐time stabilization of regular linear systems are typically unsuitable for TTSSs. To address this, we use time‐scale separation to decouple the system into slow and fast subsystems. To avoid strict requirements on the input matrix, we apply a state transformation to convert the state equations of the slow and fast subsystems into block forms. Next, to prevent input saturation and achieve a directly and arbitrarily adjustable upper bound on the convergence time, we use time‐varying scaling functions to design prescribed‐time controllers for both subsystems. The composite prescribed‐time controller ensures the prescribed‐time convergence of the TTSS. Finally, two comparative examples and one RC ladder circuit system example are presented to demonstrate the effectiveness and advantages of the proposed approach. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1099-1239 1049-8923 |
| DOI: | 10.1002/rnc.7827 |
| Access URL: | https://zbmath.org/8034890 https://doi.org/10.1002/rnc.7827 |
| Rights: | Wiley Online Library User Agreement |
| Accession Number: | edsair.doi.dedup.....188c63491a0e1eceef42dd8e03f3ef66 |
| Database: | OpenAIRE |
| ISSN: | 10991239 10498923 |
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| DOI: | 10.1002/rnc.7827 |