Multi-objective H infinity/alpha-stability controller synthesis of LTI systems

作者：Xie W^*

来源：IET Control Theory and Applications, 2008, 2(1): 51-55.

DOI：10.1049/iet-cta.20060501

• Controller synthesis
• Lyapunov variables
• Scalars

A kind of new linear matrix inequality (LMI)-based formulation is presented for multi-objective H infinity/alpha-stability controller synthesis of linear time invariant (LTI) systems. New LMI-based conditions enable to parameterise controllers without involving the Lyapunov variables in the formulation. With this feature, multi-objective controllers can be designed, with non-common Lyapunov variables and two additional adjustable scalars. Furthermore, to find the minimum possible cost, LMI-based conditions can be solved by the grid of the space which is composed of these scalars. When compared with previous results based on a common Lyapunov function, this provides less conservative results. Finally, two numerical examples are included to illustrate the effectiveness of the proposals.

• 出版日期2008-1
• 单位华南理工大学