Generalized H₂ suboptimally input-decoupled filtering

Abstract

In the previous chapters, we have studied EID, H2 AID, H_∞ AID, H₂ OID, H₂ SOID, as well as y-level H_∞ SOID filtering problems. These filtering problems are reconsidered in this chapter and the next with additional unknown input signals containing linear combination of sinusoidal signals, each of which has an unknown amplitude and phase but known frequency. We will use the qualifier “generalized” to refer to each of the above problems when such additional inputs are present. For instance, the H₂ OID, H₂ SOID, and y-level H∞ SOID filtering problems described above when additional sinusoidal inputs (of unknown amplitude and phase but known frequency) are present are, respectively, referred to as generalized H₂ OID, generalized H₂ SOID, and generalized y -level H_∞ SOID filtering problems.