Journal
TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES
Volume 25, Issue 2, Pages 1563-1573Publisher
Tubitak Scientific & Technological Research Council Turkey
DOI: 10.3906/elk-1507-195
Keywords
Linear systems; static output feedback; descriptor approach; multivariable PID controller; linear matrix inequalities
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The design problem of a static output feedback controller and multivariable proportional-integral-derivative (PID) controller is investigated for linear time-invariant systems (LTI). First, the static output feedback stabilization problem is taken into consideration and then an iterative linear matrix inequality (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.
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