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Constrained Linear State Feedback Controller for a Low-Power Gas Turbine Model

Journal Name:

  • Journal of Control Engineering and Technology

Publication Year:

  • 2014

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Abstract (Original Language): 
This paper introduces a well-developed and systematic optimization approach to find aconstrained linear state feedback control law to a linearized version of a low-power gas turbine model. In the first part of the paper, the nonlinear model is presented and linearized around the operating point, and then the linearized model is discretized with suitable sampling time to apply the proposed technique. Necessary and sufficient conditions for the existence of a solution to the constrained problem are presented. Secondly, the constrained problem is adopted in a linear programming technique to find the control law which guarantees the positive invariance conditions of constraints polytope while the input control remains bounded under prefixed values along the trajectory of the closed loop system. Furthermore, both discrete time and nonlinear model are simulated under the obtained feedback control law and the results fulfill the predefined state constraints without violating the control bounds.
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REFERENCES

References: 

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