Two-dimensional event-triggered sliding mode control for Roesser model with time delays
1School of Control Science and Engineering, Shandong University, Jinan 250061, China.
ISA Transactions
|November 14, 2020
Summary
This study introduces an event-triggered sliding mode control (SMC) for discrete-time 2-D systems with time delays. The method ensures system stability and efficient control using linear matrix inequalities and Lyapunov functions.
Area of Science:
- Control Systems Engineering
- Systems Theory
- Applied Mathematics
Background:
- Discrete-time two-dimensional (2-D) systems, particularly those described by the Roesser model with time delays, present significant control challenges.
- Traditional control strategies may not be optimal for these complex systems, necessitating advanced control methodologies.
- Event-triggered control offers a way to reduce computational load and communication frequency while maintaining system performance.
Purpose of the Study:
- To develop an event-triggered sliding mode control (SMC) strategy for discrete-time 2-D systems using the Roesser model with time delays.
- To establish sufficient conditions for the asymptotic stability of the sliding mode dynamics and the existence of sliding surface functions.
- To design an effective event-triggered SMC law that guarantees bounded state trajectories for the closed-loop system.
Main Methods:
- Construction of linear sliding surface functions integrated with an event-triggered scheme for the 2-D Roesser model.
- Derivation of sufficient conditions for asymptotic stability and sliding surface function existence using linear matrix inequality (LMI) techniques.
- Design of the event-triggered SMC law based on the Lyapunov function approach to ensure bounded system states.
Main Results:
- Sufficient conditions for asymptotic stability and the existence of linear sliding surface functions were established using LMIs.
- An event-triggered sliding mode control law was successfully designed.
- The proposed control strategy effectively drives and maintains the state trajectories of the closed-loop system within a bounded region.
Conclusions:
- The proposed event-triggered sliding mode control strategy is effective for discrete-time 2-D systems with time delays.
- The use of LMIs provides a systematic way to ensure system stability and control design.
- The event-triggered approach offers potential benefits in terms of reduced control effort and communication frequency.
Keywords:
Event-triggered scheme (ETS)Roesser modelSliding mode control (SMC)Time delaysTwo-dimensional (2-D) systemsMore Related Videos
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