ディスクリプタシステムに対するH∞制御系設計のための等式制約を含まないLMI条件
2000 年 36 巻 2 号 p. 165-171
詳細
2000 年 36 巻 2 号 p. 165-171
This paper considers the design of H∞ controllers for linear time-invariant descriptor systems. Firstly, an H∞ norm condition for a stable descriptor system is presented in terms of strict linear matrix inequalities (LMIs), that is, LMIs with no equality constraint. Then, the condition is extended to the H∞ control problem. The existence of an H∞ controller which achieves a specified disturbance attenuation level, is reduced to the feasibility of a set of strict LMIs. The class of desired H∞ controllers in a descriptor form is parametrized by the solution of the derived LMIs.
