Improved Results on Fuzzy 𝐻∞ Filter Design for T-S Fuzzy Systems

Table 2

Minimum index 𝛾 for 𝑑₂=0.2 (𝑑₁ unknown and ℎ_𝑎=0).

Method	𝛿=0.7		𝛿=1		𝛿=2		𝛿=10		𝛿=20		Any 𝛿
	[4]	[5]	[4]	[5]	[4]	[5]	[4]	[5]	[4]	[5]	Our results
ℎ𝑏=0.5	0.59	0.42	0.38	0.27	0.35	0.25	0.34	0.24	0.37	0.26	0.2054
ℎ𝑏=0.6	1.03	0.74	0.43	0.31	0.36	0.25	0.35	0.25	0.45	0.32	0.2100
ℎ𝑏=0.8	11.98	8.54	0.83	0.59	0.38	0.27	0.37	0.26	1.01	0.70	0.2204
ℎ𝑏=1	—	—	2.22	1.57	0.41	0.29	0.45	0.32	—	—	0.2324