|A Parametric Method of Linear Functional Observers for Linear Timevarying Systems
Da-Ke Gu*, Long-Wen Liu, and Guang-Ren Duan
International Journal of Control, Automation, and Systems, vol. 17, no. 3, pp.647-656, 2019
Abstract : "This paper considers the design of a Luenberger observer to estimate the linear multiple states functional
for linear time-varying (LTV) systems. Based on the solutions to a type of full actuated homogeneous generalized
Sylvester matrix equations and the conditions for the existence of observers for LTV systems, general parametric
solutions to Luenberger functional observers are established. With the proposed approach, the functional observers
can be achieved at desired convergence rate of the observation error, and also without any particular transformation
for LTV systems. Finally, a numerical example shows the feasibility and effectiveness of the proposed parametric
design method for the functional observers in LTV systems."
Functional observers, parametric method, sylverster equation, time-varying systems.