Work

Reduction in Optimal Time in Systems with Input Redundancy

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12172793

Authors: Zhongxing Peng, Gengzhong Zheng, Wei Huang

Institution: Hanshan Normal University

Language: English

Topic: Advanced Control Systems Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Department of Education of Guangdong Province