Stabilization of a class of plants with possible loss of outputs or actuator failures

Fault Tolerant Control: A Simultaneous Stabilization Result

“…We will prove this existence by first choosing Q1 appropriately. Subsequently, (10) and (11) will be considered as equations for Q 3 and Q 2 which are no longer coupled, and show that each has an admissible solution.…”

“…This proves the existence of an admissible function Q 3 . To determine Q 3 in practice, one approach is first to find u1 that interpolates the constraints (13) and (14), and subsequently to determine Q3 as a solution to (10). If u1 in addition is chosen to interpolate all constraints arising from zeros of M and N 2 in the right half plane (not just the positive half line), Q3 can be computed by…”

“…The existence results given in [10] and [11] can be considered to be special cases of the main results of this note.…”

“…In [10], a fault tolerant control problem has been addressed for systems, where specific sensors could potentially fail such that the corresponding outputs were unavailable for feedback, whereas other outputs were assumed to be available at all times.…”

“…Technol., Stockholm, Sweden, 2002. [10] , "A robust solver using a continuation method for Nevanlinna-Pick interpolation with degree constraint," IEEE Trans. Automat …”