Fixed-order robust H-infinity controller design with regional pole assignment

TY - JOUR

T1 - Fixed-order robust H-infinity controller design with regional pole assignment

AU - Yang, F

AU - Gani, M

AU - Henrion, D

PY - 2007/10

Y1 - 2007/10

N2 - In this technical note, the problem of designing fixed-order robust $H_{infty}$ controllers is considered for linear systems affected by polytopic uncertainty. A polynomial method is employed to design a fixed-order controller that guarantees that all the closed-loop poles reside within a given region of the complex plane. In order to utilize the freedom of the controller design, an $H_{infty}$ performance specification is also enforced by using the equivalence between robust stability and $H_{infty}$ norm constraint. The design problem is formulated as a linear matrix inequality (LMI) constraint whose decision variables are controller parameters. An illustrative example demonstrates the feasibility of the proposed design methods.

AB - In this technical note, the problem of designing fixed-order robust $H_{infty}$ controllers is considered for linear systems affected by polytopic uncertainty. A polynomial method is employed to design a fixed-order controller that guarantees that all the closed-loop poles reside within a given region of the complex plane. In order to utilize the freedom of the controller design, an $H_{infty}$ performance specification is also enforced by using the equivalence between robust stability and $H_{infty}$ norm constraint. The design problem is formulated as a linear matrix inequality (LMI) constraint whose decision variables are controller parameters. An illustrative example demonstrates the feasibility of the proposed design methods.

U2 - 10.1109/TAC.2007.906242

DO - 10.1109/TAC.2007.906242

M3 - Article

VL - 52

SP - 1959

EP - 1963

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 10

ER -