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Global Stabilization of the Discrete-Time Integrators System by Bounded Controls.
- Source :
-
IEEE Transactions on Circuits & Systems. Part I: Regular Papers . Dec2020, Vol. 67 Issue 12, p5175-5188. 14p. - Publication Year :
- 2020
-
Abstract
- This paper is concerned with global stabilization of discrete-time multiple integrators with bounded controls by utilizing the energy function based approach. First, a discrete-time double integrators system subject to input additive disturbances is stabilized by a bounded feedback whose formula involves a linear function of the state and a saturation function only. Next, this result is used to stabilize a discrete-time multiple integrators of arbitrary length by bounded control with the aid of a special canonical form. Compared with the existing results, the proposed controllers require fewer saturation functions, which allow a better use of the control energy. Moreover, some free parameters that are introduced into these controllers can help improve the transient performance of the closed-loop systems significantly. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15498328
- Volume :
- 67
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers
- Publication Type :
- Periodical
- Accession number :
- 147400960
- Full Text :
- https://doi.org/10.1109/TCSI.2020.3004915