Event-triggered dissipative double asynchronous controller for interval type-2 fuzzy semi-Markov jump systems with...

Area of Science:

• Control Systems Engineering
• Fuzzy Logic Systems
• Stochastic Systems

Background:

• Interval type-2 fuzzy semi-Markov jump systems face challenges like uncertainties, actuator failures, time-varying delays, and nonlinear disturbances.
• Ensuring strict exponential dissipation stability is crucial for reliable system performance.
• Network resource waste is a concern due to continuous signal transmission.

Purpose of the Study:

• To investigate strictly exponential dissipation stability for interval type-2 fuzzy semi-Markov jump systems.
• To propose a quantized method to handle system uncertainties and disturbances.
• To develop a novel double asynchronous controller to address premise-mode mismatch.

Main Methods:

• A mode-dependent event-triggered mechanism is employed to conserve network resources.
• Integral inequalities are utilized to derive sufficient conditions for stability.
• A matrix decoupling method is applied to determine controller gains.

Main Results:

• Sufficient conditions for strict (Γ1,Γ2,Γ3)-σ-dissipative exponential stability are established.
• The proposed quantized method effectively addresses uncertainties, failures, delays, and disturbances.
• The novel double asynchronous controller successfully manages premise-mode mismatches.
• Controller gains are explicitly calculated using a matrix decoupling technique.

Conclusions:

• The developed approach guarantees strict exponential dissipation stability for the considered systems.
• The event-triggered mechanism optimizes network resource utilization.
• The proposed controller design is effective in asynchronous scenarios.
• Validation through three examples confirms the approach's efficacy.