Title :
Static output feedback passivation of a SISO system characterized by state matrices
Author :
Zeheb, E. ; Shorten, Robert ; Davison, Edward J.
Author_Institution :
Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel
Abstract :
Necessary and sufficient conditions for the existence of a static feedback controller for a LTI single-input single-output system, which renders the system passive, are derived. The novelty is that these conditions are expressed in terms of the state space matrices of the open loop system. The derived conditions pertain to all possible cases: proper transfer functions, strictly proper transfer functions, state matrix A invertible or singular.
Keywords :
feedback; matrix algebra; open loop systems; state-space methods; transfer functions; A invertible state matrix; LTI single-input single-output system; SISO system; open loop system; singular state matrix; state space matrices; static feedback controller; static output feedback passivation; transfer functions; Adaptive control; Closed loop systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Output feedback; Rendering (computer graphics); Transfer functions;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580106