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The unfalsified control is one type of model-free adaptive control. The control strategy enables one to design a controller that is consist with a performance objective and measured past input-output online data without plant models or assumptions on the plant. The theory works by eliminating candidate controllers that do not satisfy performance specification by evolving experimental data. The controller...
An observer-based robust H∞ control for a class of linear uncertain neutral-type systems is presented in this paper. Based on Lyapunov-Krasovskii theory, a delay-dependent condition for the existence of a linear full-order robust H∞ controller is constructed. By the singular value decomposition (SVD) approach, the result can be expressed in terms of a set of strict linear matrix inequalities (LMIs)...
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
This note proves that the local synchronization criteria developed in "Chaos synchronization of the master-slave generalized Lorenz systems via linear state error feedback control" [Physica D 229 (2007) 52-80] can be converted to describe global synchronization.
This paper studies a linear feedback synchronization scheme for the chaotic Lorenz-Stenflo systems. Some sufficient algebraic criteria for global chaos synchronization of the master and slave Lorenz-Stenflo systems via linear state error feedback control are rigorously proven by means of Lyapunov stability theory. The obtained criteria are further optimized to improve their sharpness. The numerical...
This paper discusses the issue of delay-dependent robust stability for uncertain linear systems with time-varying delays and norm-bounded uncertainties. A new sufficient condition is obtained by employing a Lyapunov-Krasovskii functional (LKF). This LKF considers the cross terms between x(s) and x(s) in both single and double integrals. Both model transformation and estimating techniques for cross...
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