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Some Complements about Reachability and Pole Placement for Implicit Systems

Abstract : One of the most important features of the reachability of a state space representation is the complete assignability of the closed loop spectrum by means of a state feedback. This equivalence is no longer the case when dealing with implicit representations. For the reachable implicit description case, a geometric condition has to be added in order to guarantee such a pole assignment ability. In this paper, we give geometric conditions, which enable us to assign the closed loop spectrum of: (i) a reachable implicit description, and (ii) a reachable and observable implicit description with output equation.
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Submitted on : Tuesday, September 3, 2013 - 2:24:41 PM
Last modification on : Friday, December 13, 2019 - 11:10:12 AM
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Moisés Bonilla, Guy Lebret, Michel Malabre, Jean-Jacques Loiseau. Some Complements about Reachability and Pole Placement for Implicit Systems. 5th IFAC Symposium on System Structure and Control, Feb 2013, Grenoble, France. pp.510-515, ⟨10.3182/20130204-3-FR-2033.00109⟩. ⟨hal-00857201⟩

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