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In order to deal with the inherent characteristics of an air-breathing hypersonic vehicle (AHV) including high nonlinearity, strong coupling, fast-time variability, under-actuation, parameter perturbations as well as uncertainties, the cascade decoupling technique based on the active disturbance rejection control (ADRC) is applied to design a tracking controller during cruise. The tracking strategy...
This paper presents a method for the analysis and control design of polynomial nonlinear systems in the presence of uncertainty and external disturbance. Based on the sum of squares (SOS) technique, sufficient conditions for robust stabilization without and with H∞ performance via state feedback are formulated in terms of state dependent linear matrix inequalities (LMIs). Such convex conditions can...
Finite-time stability of switched systems is studied in recent years. A new switching law is designed under the circumstances that the switched system is finite-time stable while none of the subsystems is finite-time stable.
Some examples are presented to show the significance of the study of the common positive definite solutions to a set of algebraic Riccati inequalities (ARIs). A necessary and sufficient condition for the existence of common positive definite solutions of a set of second-order Riccati inequalities is derived. This condition provides a new algorithm of computing the common solutions of ARIs. Unlike...
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