title: Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems.
abstract: This paper proposes a new approach for multi-objective robust control. The approach extends the standard generalized l2 (Gl2) and generalized H2 (GH2) conditions to a set of new linear matrix inequality (LMI) constraints based on a new stability condition. A technique for variable parameterization is introduced to the multi-objective control problem to preserve the linearity of the synthesis variables. Consequently, the multi-channel multi-objective mixed Gl2/GH2 control problem can be solved less conservatively using computationally tractable algorithms developed in the paper.
authors.affiliation: Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China. yanwenjun@zju.edu.cn
authors.forename: Wen-Jun
authors.initials: WJ
authors.lastname: Yan
authors.forename: Sen-Lin
authors.initials: SL
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D005246:Feedback; D016014:Linear Models; D009716:Numerical Analysis, Computer-Assisted; D012815:Signal Processing, Computer-Assisted; D013598:Systems Theory