Abstract

The paper presents a state-feedback design methodology for singular systems and proposes an input-output feedback structure for implementation of the designed state-feedback control law. First, the state-space representation of a singular system is decomposed into a reduced-order regular subsystem and a fast subsystem which include impulsive modes and infinite nondynamic modes, in which the states of impulsive modes cannot be estimated by means of the conventional state observer. Next, a state-feedback design concept is introduced to eliminate all impulsive modes of the fast subsystem and to optimally place the eigenvalues of the regular subsystem within a specific region. Finally, the obtained state-feedback control law is implemented by the proposed stable input-output feedback structure

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