Robust H-infinity control with missing measurements and time-delays

TY - JOUR

T1 - Robust H-infinity control with missing measurements and time-delays

AU - Yang, F

AU - Wang, Z

AU - Ho, D

AU - Gani, M.R.

PY - 2007/9

Y1 - 2007/9

N2 - In this technical note, the robust $H_{infty }$ control problem is investigated for a class of stochastic uncertain discrete time-delay systems with missing measurements. The parameter uncertainties enter into the state matrices, and the missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. The purpose of the problem is to design a full-order dynamic feedback controller such that, for all possible missing observations and admissible parameter uncertainties, the closed-loop system is asymptotically mean-square stable and satisfies the prescribed $H_{infty }$ performance constraint. Delay-dependent conditions are derived under which the desired solution exists, and the controller parameters are designed by solving a linear matrix inequality (LMI). A numerical example is provided to illustrate the usefulness of the proposed design method.

AB - In this technical note, the robust $H_{infty }$ control problem is investigated for a class of stochastic uncertain discrete time-delay systems with missing measurements. The parameter uncertainties enter into the state matrices, and the missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. The purpose of the problem is to design a full-order dynamic feedback controller such that, for all possible missing observations and admissible parameter uncertainties, the closed-loop system is asymptotically mean-square stable and satisfies the prescribed $H_{infty }$ performance constraint. Delay-dependent conditions are derived under which the desired solution exists, and the controller parameters are designed by solving a linear matrix inequality (LMI). A numerical example is provided to illustrate the usefulness of the proposed design method.

U2 - 10.1109/TAC.2007.904250

DO - 10.1109/TAC.2007.904250

M3 - Article

VL - 52

SP - 1666

EP - 1672

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 9

ER -