Title :
Strong stabilization of MIMO systems: An LMI approach
Author :
Saif, Abdul-Wahid A.
Author_Institution :
Syst. Eng. Dept., King Fahd Univ. of Pet.&Miner., Dhahran
Abstract :
In this paper, the strong stabilization problem of proper and non-minimum phase linear time-invariant multi-variable systems is considered. The formulation of the problem resulted in a sufficient condition in a form of linear matrix inequality (LMI) which will be solved using MATLAB LMI toolbox. A necessary and sufficient condition is given in a form of quadratic matrix inequality, (QMI). It is proved that the solution of the linear part of the QMI satisfies the QMI.
Keywords :
MIMO systems; linear matrix inequalities; linear systems; mathematics computing; stability; LMI approach; MATLAB LMI toolbox; MIMO system; linear matrix inequality; linear time-invariant multi-variable system; non-minimum phase; quadratic matrix inequality; stabilization; Interpolation; Linear matrix inequalities; MATLAB; MIMO; Minerals; Petroleum; Riccati equations; Sufficient conditions; Systems engineering and theory; Transfer functions; LMI; QMI; Stable Controllers; Strong Stabilization;
Conference_Titel :
Systems, Signals and Devices, 2009. SSD '09. 6th International Multi-Conference on
Conference_Location :
Djerba
Print_ISBN :
978-1-4244-4345-1
Electronic_ISBN :
978-1-4244-4346-8
DOI :
10.1109/SSD.2009.4956722
