Abstract
In this study, a simple hyperplane design method based on the discrete‐time Riccati equation is proposed, and the inter‐relations are investigated for the basic requirement on sliding surface selection, the assumption of stabilisability, the Riccati inequality and the standard Riccati equation. A state and disturbance observer is embedded in discrete‐time sliding mode control (DSMC) to achieve its applicability when only partial system states can be measured. In order to improve the performance of the system in control updating times, a novel event‐triggered DSMC with a state and disturbance observer is proposed. It is shown that the proposed method achieves a quasi sliding mode with a small boundary layer. Simulation examples are presented to show the effectiveness and advantages of the proposed design schemes.
Original language | English |
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Pages (from-to) | 1003-1011 |
Number of pages | 9 |
Journal | IET Control Theory & Applications |
Volume | 14 |
Issue number | 8 |
Early online date | 9 Apr 2020 |
DOIs | |
Publication status | Published - May 2020 |
Keywords
- observers
- stability
- Riccati equations
- variable structure systems
- discrete time systems
- control system synthesis
- event‐triggered DSMC
- disturbance observer
- quasisliding mode
- discrete‐time sliding mode control
- event‐trigger strategy
- simple hyperplane design method
- discrete‐time Riccati equation
- Riccati inequality
- standard Riccati equation
- partial system states
- control updating times
- sliding surface selection
- state observer