An LMI Design of an Observer Based Fuzzy PSS

Power systems are highly n onlinear systems th at ex hibit undesirable oscillatio ns following disturbances. Power system stabilizers (PSS) are usually incorporated to provide auxiliary excitation signals to dam p these oscillations. Our objective is to im prove the PSS performance via the use of fuzzy logic and LMI techniques. A power system is viewed as a polytopic model that can be adequately represented by a Takagi-Sugeno fuzzy system. A power system stabilizer based on the parallel distributed c ontrol principle i s suggested. Ty pically, speed measurements are used as feedback signals. Consequently, a fuzzy observer is included to estimate the unmeasured states. LMI conditions that guarantee the stability and robust pole clustering of the closed loop system are derived. Simulation results of both single-machine an d multi-machine m odels co nfirm the effectiv eness of the propo sed algorithm. �

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