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Two-Dimensional Sliding Mode Control of Discrete-Time Fornasini–Marchesini Systems.
- Source :
-
IEEE Transactions on Automatic Control . Sep2019, Vol. 64 Issue 9, p3943-3948. 6p. - Publication Year :
- 2019
-
Abstract
- This paper is concerned with the problem of discrete-time two-dimensional (2-D) sliding mode control (SMC) for Fornasini–Marchesini (FM) systems subject to exogenous nonlinear disturbances. With the introduction of the time instant and global state in the 2-D case, the discrete-time sliding surface function for 2-D systems is constructed. Then, based on the corresponding sliding mode dynamics, the solvability condition for the desired sliding surface function is derived. Subsequently, a sliding mode controller is designed to guarantee that the state trajectories can enter into a neighborhood of the specified sliding surface. Meanwhile, the stability of the 2-D sliding mode dynamics is also ensured. Finally, a simulation example is provided to illustrate the feasibility and the effectiveness of the presented new 2-D SMC design method. Different from existing results, the proposal focuses on the features of multi-dimension and the dynamics of 2-D systems, which is expected to develop a completely different SMC design approach for discrete-time 2-D systems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DISCRETE-time systems
*SLIDING mode control
*SYSTEM dynamics
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 64
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 138419008
- Full Text :
- https://doi.org/10.1109/TAC.2019.2890889