6533b7d6fe1ef96bd1265e0b
RESEARCH PRODUCT
Observer-based control design for a class of nonlinear systems subject to unknown inputs: LMI approach
Hamid Reza KarimiSaleh Sayyad DelshadThomas GustafssonAli Zemouchesubject
State-transition matrixMathematical optimizationState variableObserver (quantum physics)ChaoticLinear matrix inequalityNonlinear systemControl theory[INFO.INFO-AU]Computer Science [cs]/Automatic Control EngineeringLinear algebraObserver based[INFO.INFO-AU] Computer Science [cs]/Automatic Control EngineeringComputingMilieux_MISCELLANEOUSMathematicsdescription
This paper deals with the problem of observer-based controller design for a class of nonlinear systems subject to unknown inputs. A novel method is presented to design a controller using estimated state variables which guarantees all the state variables of the closed-loop system converge to the vicinity of the origin and stay there forever. This is done via satisfying several sufficient conditions in terms of nonlinear matrix inequalities. In light of linear algebra, particularly matrix decompositions, the achieved conditions will be converted to a Linear Matrix Inequality (LMI) problem to facilitate the procedure of computing the observer and controller gains. Finally, the effectiveness of the proposed method is illustrated by implementing on a highly nonlinear chaotic system.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-10-13 |