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A new dynamic output feedback compensator design for pole assignment

Chia-Chi Tsui

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Abstract

This paper proposes a new approach which is applicable for any open loop system either with more outputs than inputs or with at least one stable transmission zero, for the design of dynamic output feedback compensator (DOFC) and for pole assignment. Although this DOFC cannot always guarantee arbitrary pole placement of the feedback system, it has three unique advantages: (1) the DOFC poles are part of the feedback system poles and thus the DOFC stability is guaranteed; (2) this new DOFC can implement state feedback control which is most powerful and whose design is well developed; (3) the design is decoupled into two pole assignment problems of orders r and n, respectively while the existing design has order n+r, where n and r are the orders of open loop system and DOF, respectively.

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What this paper is about

This paper proposes a new approach which is applicable for any open loop system either with more outputs than inputs or with at least one stable transmission zero, for the design of dynamic output feedback compensator (DOFC) and for pole assignment. Although this DOFC cannot always guarantee arbitrary pole placement of the feedback system, it has three unique advantages: (1) the DOFC poles are part of the feedback system poles and thus the DOFC stability is guaranteed; (2) this new DOFC can implement state feedback control which is most powerful and whose design is well developed; (3) the design is decoupled into two pole assignment problems of orders r and n, respectively while the existing design has order n+r, where n and r are the orders of open loop system and DOF, respectively.

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Available abstract

This paper proposes a new approach which is applicable for any open loop system either with more outputs than inputs or with at least one stable transmission zero, for the design of dynamic output feedback compensator (DOFC) and for pole assignment. Although this DOFC cannot always guarantee arbitrary pole placement of the feedback system, it has three unique advantages: (1) the DOFC poles are part of the feedback system poles and thus the DOFC stability is guaranteed; (2) this new DOFC can implement state feedback control which is most powerful and whose design is well developed; (3) the design is decoupled into two pole assignment problems of orders r and n, respectively while the existing design has order n+r, where n and r are the orders of open loop system and DOF, respectively.

Key concepts: Control theory (sociology), Minor loop feedback, Full state feedback, Pole–zero plot, Closed-loop pole, Output feedback, Loop (graph theory), Stability (learning theory)

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