Robust Anti-Windup Control Considering Multiple Design Objectives

Table 1

IQC characterization for specified Δ_𝑖.

Type	Φ∈[0,𝐾Φ]	diag(𝛿1,…,𝛿𝑛𝑖)	𝛿𝑖(𝑡)𝐼𝑛𝑖	‖Δ𝑖(𝑠)‖∞<1
	𝑄=−2𝑉∈Λ^𝑛𝑖×𝑛𝑖	𝑄∈Λ^𝑛𝑖×𝑛𝑖	𝑄∈ℜ^𝑛𝑖×𝑛𝑖	𝑄=𝑞𝐼𝑛𝑖,𝑞∈ℜ
Scalings	𝑆=𝑉𝐾Φ	𝑆=0	𝑆+𝑆^𝑇=0	𝑆=0
	𝑅=𝜖𝐼	𝑅=−𝑄	𝑅=−𝑄	𝑅=−𝑄