Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems

Table 1

Controller gain matrices 𝐾₁ and 𝐾₂ for different fractional order 𝛼.

Fractional orders 𝛼	Feedback gain matrices 𝐾1 and 𝐾2
0.4	𝐾1=[0.0031−0.0136−0.0953], 𝐾2=[0.0137−0.2220−0.1835]^𝑇
0.5	𝐾1=[0.0173−0.0001−0.0160], 𝐾2=[0.0728−0.2379−0.2279]^𝑇
0.6	𝐾1=[0.0127−0.0006−0.0255], 𝐾2=[0.0686−0.2462−0.2304]^𝑇
0.7	𝐾1=[0.0097−0.0012−0.0281], 𝐾2=[0.0691−0.2507−0.2326]^𝑇
0.8	𝐾1=[0.0082−0.0017−0.0275], 𝐾2=[0.0716−0.2533−0.2348]^𝑇
0.9	𝐾1=[0.0075−0.0019−0.0267], 𝐾2=[0.0735−0.2547−0.2363]^𝑇
0.99	𝐾1=[−0.0098−0.01180.0852], 𝐾2=[0.2423−0.1882−0.2746]^𝑇
0.999	𝐾1=[−0.0098−0.01180.0852], 𝐾2=[0.2423−0.1882−0.2746]^𝑇
0.9999	𝐾1=[−0.0098−0.01180.0852], 𝐾2=[0.2423−0.1882−0.2746]^𝑇
𝛼→1^−	𝐾1=[−0.0098−0.01180.0852], 𝐾2=[0.2423−0.1882−0.2746]^𝑇