This paper presents a new approach with non-common linear matrix inequality (LMI) solutions to the multiobjective state-feedback control design problem. A conventional approach is adopting common LMI solutions to avoid a difficulty of non-convex constraints at the sacrifice of conservatism. To get around the conservatism, in this paper, we perform a standard procedure called change of variables and represent the resulting variables as a set of affine functions of new variables. These affine functions are such that they satisfy the non-convex constraints regardless of the new variables. With these affine functions, we readily derive a set of LMI conditions that allow non-common LMI solutions.
|Number of pages||6|
|Journal||Proceedings of the American Control Conference|
|Publication status||Published - 2001|
|Event||2001 American Control Conference - Arlington, VA, United States|
Duration: Jun 25 2001 → Jun 27 2001
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering