Observer design for Takagi–Sugeno fuzzy systems with unmeasured premise variables: Conservatism reduction using line integral Lyapunov function

Designing Unknown Input Observers for Fault Reconstruction in Disturbed Takagi-Sugeno Fuzzy Systems

“…Consider the matrices A i , B i , E i , M, C, F, and H, which are constants with appropriate dimensions. The activation functions µ i (x(t)), dependent on the system's state, adhere to the following convexity properties [10,11]:…”

Observer Design for Takagi–Sugeno Fuzzy Systems with Unmeasurable Premise Variables Based on Differential Mean Value Theorem

“…This theorem's applications span various studies: real-time motor control in [13], robust H ∞ control for motors in [14], sensorless control for a PMSM in [15], and automotive slip angle estimation in [12]. A notable advancement is in [16], where line integral Lyapunov functions reduce conservatism in MVT observers.…”