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This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of linear matrix inequalities using a single Lyapunov-Krasovskii functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter....
In this paper, the delay-dependent H∞ performance criterion which possesses decoupling structure is derived for systems with time-varying delay. It can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Then the robust H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms...
A decentralized adaptive methodology is presented for large-scale nonlinear systems with model uncertainties and time-delayed interconnections unmatched in control inputs. The interaction terms with unknown time-varying delays are bounded by unknown nonlinear bounding functions related to all states and are compensated by choosing appropriate Lyapunov-Krasovskii functionals and using the function...
In this paper, the variable structure control problem for a class of uncertain stochastic systems with time-varying delay is investigated. A new concept of the subordinated reachable property of the sliding motion is introduced. The variable structure control law is then proposed to ensure that the sliding motion is subordinated reachable. And a sufficient condition for mean square asymptotical stability...
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