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This paper concerns the problem of robust stability analysis for a polytopic system with interval time-varying delay via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation of the system, the product between Lyapunov variables and the system matrices is eliminated. With this feature, a delay-dependent robust stability criterion...
A multi-objective flight controller design method for an airplane with multiple operating points (MOP) is proposed via Lyapunov theory, which takes account of handling quality requirement and robust stability simultaneously. A handling quality criterion for all flights that correspond to multiple operating points is derived by linear matrix inequality (LMI) approach. Based on parameter-dependent Lyapunov...
In this paper, a robust controller for an airplane with multiple operating points is proposed based on the methodology of sliding mode. A sufficient condition for the existence of linear sliding surface is expressed as a set of linear matrix inequalities (LMIs). The sliding mode control law with a finite reaching time is deduced in terms of Lyapunov stability theory. The DR-stability of the reduced-order...
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...
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