A Time-Varying Gain Design Method for State Feedback Control of Upper Triangular Nonlinear Systems

Autor:	Yanmin Yin
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Lyapunov function 0209 industrial biotechnology Article Subject Computer science General Mathematics Coordinate system General Engineering Triangular matrix 02 engineering and technology Function (mathematics) Engineering (General). Civil engineering (General) Term (time) Nonlinear system symbols.namesake 020901 industrial engineering & automation Control theory Full state feedback QA1-939 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing TA1-2040 Constant (mathematics) Mathematics
Zdroj:	Mathematical Problems in Engineering, Vol 2020 (2020)
ISSN:	1024-123X
DOI:	10.1155/2020/4286524
Popis:	In this paper, a time-varying gain design method is used to investigate the state feedback control problem of upper triangular nonlinear systems. Firstly, the nonlinear term recognizes an incremental rate relying on the unknown constant and the function with respect to time. Then, a time-varying gain design method is utilized to construct a state feedback controller. With the help of a suitable coordinate transformation and a Lyapunov function, one obtains that all the signals of the closed-loop system converge to zero. Finally, two numerical examples are presented to display the effectiveness of the time-varying gain design method.
Databáze:	OpenAIRE
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