Dynamic event-based sliding mode security control for singular Semi-Markov jump LPV systems against deception attacks

Area of Science:

• Control Systems Engineering
• Systems Theory
• Stochastic Systems

Background:

• Singular semi-Markov jump linear parameter varying (SS-MJLPV) systems are complex and susceptible to deception attacks.
• Existing control schemes often struggle with unknown transition rates and unsynchronized controller modes.

Purpose of the Study:

• To propose a novel dissipative sliding mode control (SMC) scheme for SS-MJLPV systems under deception attacks.
• To develop a parameter-dependent integral-type SMC law that adapts to system changes.
• To extend static event-triggered transmission protocols (ETP) to a dynamic version for improved efficiency.

Main Methods:

• Design of a dissipative sliding mode control (SMC) law.
• Development of a parameter-dependent integral-type SMC controller.
• Extension of static event-triggered transmission protocol (ETP) to a dynamic event-triggered transmission protocol (DETP) with internal dynamics.
• Analysis of system stability under unknown transition rates and deception attacks.

Main Results:

• The proposed dissipative SMC scheme ensures system stability despite deception attacks and unknown transition rates.
• The parameter-dependent integral-type SMC law effectively tracks system mode variations.
• The dynamic event-triggered transmission protocol (DETP) reduces communication load while maintaining control performance.
• Validation of the control scheme using a DC-motor model.

Conclusions:

• The developed dissipative SMC scheme offers a robust solution for controlling SS-MJLPV systems under challenging conditions.
• The novel integral-type SMC law and dynamic event-triggered protocol represent significant advancements in control theory.
• The findings demonstrate the practical applicability of the proposed control strategy in real-world systems like DC motors.