An H ∞  design for a dynamic pricing scheme in the smart grid is analyzed. The design uses fuzzy interpolation techniques and linear matrix inequality (LMI) approaches. Detailed construction of a fuzzy inference system used to produce price signals is provided. LMI conditions for dynamic pricing are derived using the Lyapunov theory. Numerical analysis of fuzzy gains in the pricing scheme is performed, exhibiting a less conservative design than a standard pricing scheme. Those analyses and derivations can facilitate further modifications when a different pricing scenario is encountered.
['Wei-Yu Chiu']
Analysis of an H ∞ design for dynamic pricing in the smart grid