New static output feedback stabilization and multivariable PID-controller design methods for unstable linear systems via an ILMI optimization approach

Authors : MEHMET NUR ALPASLAN PARLAKÇI, ELBRUS CAFEROV

Pages : 1563-1573

View : 12 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The design problem of a static output feedback controller and multivariable proportional-integral-derivative insert ignore into journalissuearticles values(PID); controller is investigated for linear time-invariant systems insert ignore into journalissuearticles values(LTI);. First, the static output feedback stabilization problem is taken into consideration and then an iterative linear matrix inequality insert ignore into journalissuearticles values(ILMI); algorithm is developed for the synthesis of the controller. Second, choosing a multivariable PID control law, the whole system is transformed into a new augmented system represented in the form of a static output feedback control system. This method allows us to convert the multivariable PID controller design problem into a static output feedback synthesis problem. Thus, the proposed ILMI algorithm can as well be utilized for the design of the multivariable PID controller. Two numerical examples are presented to illustrate a practical application of the developed methodologies.
Keywords : Linear systems, static output feedback, descriptor approach, multivariable PID controller, linear matrix inequalities