6533b82efe1ef96bd12930df
RESEARCH PRODUCT
false
subject
Output feedbackMathematical optimizationControl theoryApplied MathematicsControl (management)Linear matrix inequalityOrder (ring theory)Nonlinear controlDesign methodsStability (probability)AnalysisSlack variableMathematicsdescription
This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order0<α<2. The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems. Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with0<α<1. Furthermore, the results are extended to stabilize the FO-LTI systems with1≤α<2. Finally, robust output feedback control is discussed. Numerical examples are given to illustrate the effectiveness of the proposed design methods.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 | Abstract and Applied Analysis |