Robust H2 nonlinear fuzzy decentralized control design for a VSC-HVDC link

A Robust (Formula presented.) Nonlinear Fuzzy Decentralized Controller ((Formula presented.) RNFDC) is proposed to improve the overall robustness and tracking ability of a VSC-HVDC link. The studied system is considered as composed by two overlapping nonlinear subsystems. The nonlinear interaction between the two subsystems is treated as a disturbance rejection problem by fuzzy control techniques. First, the Takagi Sugeno (TS) fuzzy model is adopted for fuzzy modeling of the uncertain nonlinear system. Next, new stability conditions for a generalized class of uncertain HVDC systems are derived from robust control techniques based on Linear Matrix Inequalities (LMIs). The design method employs the so-called Parallel Distributed Compensation (PDC) to obtain (Formula presented.) RNFDC gains based on LMIs.The efficiency and robustness of the proposed controllers are analytically proven and tested through validation simulations. The main contributions of this paper are: (i) resilience: in case of failure of one converter or loss of measures or controls, the control of the other converter is not affected; (ii) robustness is improved in order to provide good responses in case of network variations and HVDC line parameters changes; (iii) fuzzy techniques are adopted to handle nonlinearities and changes of operating conditions. The proposed (Formula presented.) RNFDC is compared with Fuzzy H (Formula presented.) Decentralized State Feedback Control ((Formula presented.) NFDC) and (Formula presented.) Linear Decentralized Control ((Formula presented.) LDC) in simulation to illustrate the control synthesis and its effectiveness. © 2024 John Wiley & Sons Ltd.