Analysis and synthesis of nonlinear control systems by means of a sampled-data nonlinearity matrix

Stable design of fuzzy controllers for robotic telemanipulation applications

“…resulted from a finite number of terms written for ) 1 ( + λ values of the input e, where h e > 0 is a step, b is the specific vector of the mean nonlinearity and z is referred to as the nonlinearity vector [14,15]. But σ is a regular matrix and (15) where n is the equivalent gain vector, J 1 is the Bessel function of the first kind and A j denotes the input (e) magnitudes.…”

“…But σ is a regular matrix and (15) where n is the equivalent gain vector, J 1 is the Bessel function of the first kind and A j denotes the input (e) magnitudes. Next (14) and (15) …”

“…The second objective of this paper is to avoid the need to solve numerically the LMIs by a new stability analysis method. The original method proposed in this paper employs nonlinearity vectors applied in the matrix space resulted from an attractive formulation of previous results [14,15]. The new method enables a stable design of the PI-FCs resulting in low-cost fuzzy control solutions.…”