Model-Free Frequency Control of Power Systems With Unknown Markov Jump Parameters

This brief is concerned with the frequency control problem of the unknown Markov jump power systems via model-free static output feedback control approach. Due to introduction of PID control strategy, the power system is modeled as a multi-output system. The multi-output system is first converted to the single-output one which remains observable. A new reconfiguration model is therewith established by using input-output data from the single-output power system, and then the data-based reconfiguration model is given. According to the data-based expression, the stochastic stability conditions of the closed-loop system for the Markov jump power system are constructed in the form of data-based linear matrix inequalities, and the mode-dependent output feedback gain is determined. Finally, the availability of the proposed method is demonstrated by a simulation example.