Robust delay-dependent stability and stabilization of polytopic systems with time-delay and its application to flight control
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KünyeShen, C., Ban, Y., Dimirovski, G. M., & Jing, Y. W. (2008). Robust delay-dependent stability and stabilization of polytopic systems with time-delay and its application to flight control. In 2008 American Control Conference (pp, 1624-1629). Piscataway, NJ: IEEE. http://dx.doi.org/10.1109/ACC.2008.4586724
This paper concerns the problem of robust stability analysis and control synthesis for a polytopic system with time-varying delays via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation, a new robust delay dependent stability criterion is expressed as a set of linear matrix inequalities (LMIs) with less computational burden. This criterion can be employed for robust controller synthesis. The obtained stabilizability criterion is applied to design a flight controller for aircraft dynamic systems with multiple operating points. The simulation results illustrate the effectiveness of the proposed approach.