dc.contributor.advisor Yan, Yubin en dc.contributor.author Kareem, Rasaq * dc.date.accessioned 2011-05-03T09:15:25Z en dc.date.available 2011-05-03T09:15:25Z en dc.date.issued 2010 en dc.identifier.uri http://hdl.handle.net/10034/128957 en dc.description.abstract This dissertation considers how to stabilize a nonlinear system by using feedback control. To stabilize a nonlinear system, we first need to find the unstable steady state. Then we consider the linearized problem at this steady state and solve the Riccati equation using the linear quadratic regulator (lqr). We then design the feedback controller on the linearized system,. Finally, we apply the feedback controller on the original nonlinear system. We use the forward Euler method, backward Euler method and Trapezoidal method to consider the discretization of the nonlinear system. We design the algorithm and consider two numerical examples of ecological models and verify that the results obtained are in accordance with theoretical results. dc.language.iso en en dc.publisher University of Chester en dc.subject steady state en dc.subject feedback control en dc.subject Riccatio equation en dc.subject linear quadratic regulator en dc.subject forward Euler method en dc.subject backward Euler method en dc.subject trapezoidal method en dc.title Stabilizing a nonlinear system by using feedback control en dc.type Thesis or dissertation en dc.type.qualificationname MSc en dc.type.qualificationlevel Masters Degree en html.description.abstract This dissertation considers how to stabilize a nonlinear system by using feedback control. To stabilize a nonlinear system, we first need to find the unstable steady state. Then we consider the linearized problem at this steady state and solve the Riccati equation using the linear quadratic regulator (lqr). We then design the feedback controller on the linearized system,. Finally, we apply the feedback controller on the original nonlinear system. We use the forward Euler method, backward Euler method and Trapezoidal method to consider the discretization of the nonlinear system. We design the algorithm and consider two numerical examples of ecological models and verify that the results obtained are in accordance with theoretical results.
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