Skip to main content
placeholder image

Low-order H8 controller design using LMI and genetic algorithm

Conference Paper


Abstract


  • This paper present a genetic algorithm optimization approach to treat with the low-order sub-optimal H∞ controller design problems described by LMIs. The LMIs based low-order H∞ controller design problems can be formulated as matrix rank minimization problem under LMIs constraint conditions. Due to matrix rank minimization problem is a non-convex NP-hardness problem, there are any feasible solutions by now. Facing to this problem, the paper presents a genetic algorithm strategy to deal with the multiobjective constraint optimization problem. By simultaneously optimizing the non-convex matrix rank minimization problem and H∞ performance index, the feasible solution can be found for the desired low-order controller under different specification. This algorithm will benefit controller design when the controller software and hardware realization and specification will be satisfied simultaneously.

Publication Date


  • 2002

Citation


  • Du, H., & Shi, X. (2002). Low-order H8 controller design using LMI and genetic algorithm. In Proceedings of the American Control Conference Vol. 1 (pp. 511-512).

Scopus Eid


  • 2-s2.0-0036061289

Start Page


  • 511

End Page


  • 512

Volume


  • 1

Abstract


  • This paper present a genetic algorithm optimization approach to treat with the low-order sub-optimal H∞ controller design problems described by LMIs. The LMIs based low-order H∞ controller design problems can be formulated as matrix rank minimization problem under LMIs constraint conditions. Due to matrix rank minimization problem is a non-convex NP-hardness problem, there are any feasible solutions by now. Facing to this problem, the paper presents a genetic algorithm strategy to deal with the multiobjective constraint optimization problem. By simultaneously optimizing the non-convex matrix rank minimization problem and H∞ performance index, the feasible solution can be found for the desired low-order controller under different specification. This algorithm will benefit controller design when the controller software and hardware realization and specification will be satisfied simultaneously.

Publication Date


  • 2002

Citation


  • Du, H., & Shi, X. (2002). Low-order H8 controller design using LMI and genetic algorithm. In Proceedings of the American Control Conference Vol. 1 (pp. 511-512).

Scopus Eid


  • 2-s2.0-0036061289

Start Page


  • 511

End Page


  • 512

Volume


  • 1