Reduction in Optimal Time in Systems with Input Redundancy

Autor:	Zhongxing Peng, Gengzhong Zheng, Wei Huang
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	optimal control nonlinear dynamic system input redundancy Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 17, p 2793 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12172793
Popis:	This paper discusses a reduction in the optimal time due to the presence of input redundancy in time-optimal control problems. By introducing a non-idle channel to represent an active input channel, we establish the necessary and sufficient conditions that ensure a strict reduction in the optimal time for affine nonlinear systems. In cases of identical input redundancy, its impact varies according to the type of input constraint, and certain types may not lead to a reduction in the optimal time. Ultimately, in linear time-invariant (LTI) systems, the extent of the optimal time reduction depends on the system’s controllability.
Databáze:	Directory of Open Access Journals
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