A descriptor system approach to robust H∞ control and its application to flight control
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KünyeDai, S. L.., Dimirovski, G. M., Zhao, J. (2006). A descriptor system approach to robust H∞ control and its application to flight control. In American Control Conference, 2006, (pp. 1068-1073), Minneapolis, MN, IEEE. http://dx.doi.org/10.1109/ACC.2006.1656358
This paper investigates the problems of robust H∞ performance analysis and control synthesis for linear systems, having polytopic type of uncertainties, via the parameter-dependent Lyapunov functions. First, via employing a descriptor model transformation of the system, a H ∞ performance criterion in terms of linear matrix inequalities is derived. This H∞ performance criterion can be adopted for robust controller synthesis as shown. The H∞ performance criterion is applied to design flight tracking controller for aircraft dynamic systems with multiple operating points. These results illustrate the effectiveness of the proposed approach.