Parameter and state estimation for uncertain linear systems by multiple observers

A parameter and state estimation problem is considered for uncertain linear time-invariant systems. Under a certain condition, it is shown that the state of the system can be asymptotically described by a linear combination of state estimates generated by suitable multiple observers, where the weights of the linear combination are the parameters to be estimated. Using this property, a computation method is proposed for simultaneous estimation of the parameters and the state from the output data of the plant and multiple observers.