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Structurally constrained control is the problem of designing a linear time-invariant controller that has structural constraints on its parameter matrices. It is sometimes called fixed-structure control or structured synthesis. Structured control problems have long been recognized as practically important control problems because structural constraints are inevitable in many fields of control and system engineering. Decentralized control is a typical example. In industrial plants, the design of a proportional-integral-derivative (PID) controller is the most frequent application. Moreover, static output feedback (SOF) stabilization belongs to this class of synthesis problems since it can be regarded as an unstructured fixed-order control problem
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