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New criterion and algorithm for fault tolerant control over frequency region in presence of additive faults and disturbances

We formulate a new criterion over a frequency region for fault tolerant control, as a mathematical problem. We present all solutions to this problem, and apply them to find a passive fault tolerant controller with a sufficient level of disturbance attenuation, to a class of systems which satisfy certain assumptions. An example is given, to illustrate the feasibility of our two-step control design algorithm.