Abstract: “This paper presented a design of a decentralized robust proportional-integral-derivative controller based on Linear Matrix Inequality (LMI) approach for two-area interconnected power system with multi-unit comprising of non-reheat and reheat steam turbine in each control area along with coordinated operation of Thyristor Controlled Phase Shifter (TCPS) and Superconducting Magnetic Energy Storage (SMES) for load frequency control (LFC). In this work PID control problem is reduced to a static output feedback control synthesis through H∞ control approach, and then design two controllers one is H∞ controller and second is iterative proportional-integral-derivative (IPIDH∞) controller based on LMI approach. The simulation results show that the IPIDH∞ is superior to robust H∞ controller. The robustness of both controllers is also tested with different load scenarios and also with parameters variations.”

Keywords: Robust control, TCPS, linear matrix inequalities, PID controller, SMES, H∞ control