Disturbance Decoupled Observers for Systems With Unknown Inputs

H. Trinh, Trung Dinh Tran, T. Fernando
2008 IEEE Transactions on Automatic Control  
This note deals with the design of reduced-order disturbance decoupled scalar functional observers for linear systems with unknown inputs. Based on a parametric approach, existence conditions are derived and a design procedure for finding reduced-order scalar functional observers is given. The derived existence conditions are relaxed and the procedure can find first-order disturbance decoupled scalar functional observers for some cases where the number of unknown inputs is more than the number
more » ... re than the number of outputs. Also, the observer matching condition, which is the necessary requirement for the design of state observers for linear systems with unknown inputs, is not required. Numerical examples are given to illustrate the attractiveness of the proposed design method. Index Terms-Disturbance decoupled observers, linear functional observers, Sylvester matrix equation, unknown inputs.
doi:10.1109/tac.2008.2007530 fatcat:oeawtjtp6vftjcz3hsove6rr7i