Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization.

Area of Science:

• Control Systems Engineering
• Networked Systems
• Uncertain Systems

Background:

• Networked systems face challenges with non-periodic sampled data and uncertainties.
• Integral Sliding Mode (ISM) control offers potential for robust system stabilization.
• Existing methods may not adequately address network burden and energy efficiency.

Purpose of the Study:

• To design an ISM controller for networked linear systems with matched and unmatched uncertainties.
• To develop an event-triggered (ET) mechanism to reduce data transmission.
• To incorporate quantization for further network load reduction and energy saving.

Main Methods:

• Redesigned nominal controller gain for asymptotic stability.
• Intermittent control using reaching law for finite-time reachability.
• Event-triggered condition derived from measurement error for actual SM existence.
• Quantization scheme to decrease network transmission burden.
• Analysis to ensure no Zeno behavior via positive lower bound of inter-event time.

Main Results:

• The proposed ISM controller guarantees asymptotic stability for uncertain networked linear systems.
• The event-triggered condition ensures the existence of the actual sliding mode.
• The integrated quantization scheme effectively reduces network transmission burden.
• No Zeno behavior was observed, confirming system viability.
• The control law alleviates network burden and decreases transmission energy loss compared to conventional ISMC.

Conclusions:

• The developed ISM controller with event-triggered and quantized control is effective for uncertain networked linear systems.
• The method significantly reduces network load and energy consumption.
• Simulation results validate the proposed approach for practical applications.