Reduction in Optimal Time in Systems with Input Redundancy

Zhongxing Peng, Gengzhong Zheng () and Wei Huang ()
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Zhongxing Peng: School of Computer Information Engineering, Hanshan Normal University, Chaozhou 521041, China
Gengzhong Zheng: School of Computer Information Engineering, Hanshan Normal University, Chaozhou 521041, China
Wei Huang: School of Computer Information Engineering, Hanshan Normal University, Chaozhou 521041, China

Mathematics, 2024, vol. 12, issue 17, 1-15

Abstract: 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.

Keywords: optimal control; nonlinear dynamic system; input redundancy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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