Output regulation control via virtual model reference approach

This study proposes a fuzzy control design methodology for regulating an output of biasing nonlinear systems. First, the general nonlinear systems with constant/varying bias terms are represented by the T-S fuzzy model, which has common bias terms in consequent part. Then a parallel distributed integral compensation is introduced to drive the system with the desired output. Meanwhile, the virtual model reference scheme is utilized in stability analysis. Furthermore, the H-inf regulation is carried out on continuous/discrete-time nonlinear systems in a unified manner. The proposed method is also realized by solving linear matrix inequality problems (LMIPs). Numerical simulation examples are given to verify the output regulation performance.