Title :
A set of stabilizing PD controllers for multi-input-multi-output systems
Author :
Leena, G. ; Dutta, K.B. ; Ray, G.
Author_Institution :
Electron. & Commun. Eng., C.I.T.M, Faridabad
Abstract :
For a multi-input multi-output (MIMO) system a set of stabilizing proportional derivative (PD) controllers was designed for each decoupled subsystem. The design approach is based on generalized result of the classical Hermite Biehler theorem. Stability analysis of the composite system with the designed set of decoupled controller parameter is studied via LMI framework. A genetic algorithm based search technique is adopted to select an optimal PD controller gain from a search space of PD stabilizing controllers. A MIMO system is considered to show the effectiveness of the design procedure.
Keywords :
MIMO systems; PD control; control system analysis; control system synthesis; genetic algorithms; linear matrix inequalities; optimal control; search problems; stability; Hermite Biehler theorem; LMI framework; MIMO system; genetic algorithm-based search technique; multiinput multioutput system; optimal PD controller stabilization; proportional derivative controller design; stability analysis; Communication system control; Control systems; Linear matrix inequalities; Linear systems; MIMO; Optimal control; PD control; Polynomials; Proportional control; Stability analysis; Lyapunov function; Proportion-Derivative controller; interval matrix; linear matrix inequality; stabilization;
Conference_Titel :
Electrical and Computer Engineering, 2008. ICECE 2008. International Conference on
Conference_Location :
Dhaka
Print_ISBN :
978-1-4244-2014-8
Electronic_ISBN :
978-1-4244-2015-5
DOI :
10.1109/ICECE.2008.4769332