Set-Membership Estimation for Switched T-S Fuzzy Systems with MDADT Switching in Tunnel Diode Circuits

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Fuzzy Logic Systems

Background:

• Tunnel diodes are crucial in high-frequency electronics, exhibiting complex nonlinear dynamics.
• Accurate state estimation is vital for controlling and analyzing these circuits.
• Switched Takagi-Sugeno (T-S) fuzzy systems effectively model such nonlinear, switching behaviors.

Purpose of the Study:

• To develop a zonotope-based set-membership estimation method for switched T-S fuzzy systems.
• To apply this framework to model and estimate the states of tunnel diode circuits.
• To ensure robustness against external disturbances and measurement noise while achieving tighter state bounds.

Main Methods:

• Modeling the tunnel diode circuit as a switched T-S fuzzy system.
• Designing a zonotopic set-membership estimation framework with mode-dependent average dwell-time (MDADT) switching.
• Developing a mode-dependent observer to attenuate disturbances and noise.
• Analyzing estimation error system stability using Lyapunov functions.

Main Results:

• The proposed zonotopic estimation framework accurately bounds the true system state.
• A significant reduction in the estimated set volume (approx. 28.99%) was achieved compared to interval observers.
• The H∞ robustness of the estimation was demonstrated.

Conclusions:

• The zonotopic set-membership estimation approach is effective for switched T-S fuzzy systems, particularly for tunnel diode circuits.
• The method provides tighter state bounds and improved robustness.
• This framework holds potential for advanced applications in high-frequency electronics.