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For an air-breathing hypersonic vehicle model subject to input constraints, this paper is concerned with the application of linear control theory to design its flight control system. In the framework of integral quadratic constraints (IQCs), the standard linear parameter-varying (LPV) control method is generalized to deal with the parametric, dynamic uncertainties and saturation nonlinearities associated...
This paper is concerned with the analysis and synthesis problems for linear parameter-varying (LPV) systems. An LPV system resembles a linear system that generally depends on scheduling parameters in a nonlinear fashion. Without any structural assumption on the model, Lyapunov function based analysis and synthesis approaches involve solving infinite number of linear matrix inequalities. Motivated...
This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed...
In this paper, eight groups of chaotic attractors including hyperchaotic attractor of a four-order Chua's circuit with a piecewise-linear nonlinearity are presented and a simple method to control chaos oscillation for this circuit is proposed by exploiting absolute stability theory in nonlinear systems. A linear feedback controller is derived based on linear matrix inequality (LMI). Numerical simulations...
This paper considers cycle slipping of discrete phase-controlled system with periodic nonlinearity. The number of slipped cycles is an important characteristic of such nonlinear system. Based on Yakubovich-Kalman Lemma which establishes the equivalence between frequency domain inequalities (FDIs) and linear matrix inequalities (LMIs), the conditions of estimating the number of slipped cycles are derived...
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