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The adaptive fuzzy control problem is considered for a class of uncertain SISO nonlinear time-varying delay systems in a Brunovsky form. The upper bound of the unknown time-varying delay term is assumed to be in the form of nonlinear functions with unknown coefficients. An adaptive fuzzy controller is designed by utilizing the integral-type Lyapunov function and constructing a continuous function...
This paper focuses on the problem of robust fault-tolerant control for uncertain linear discrete systems with time-delay. On the basis of Lyapunov theory, it is found that a controller based on a kind of memory feed-back control law can keep the uncertainty systempsilas integrity against the actuator failures, and make use of the LMI toolbox in Matlab, we can get the parameters of the controller....
This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on an integral-equality approach, the integral equality is an improved version of integral inequality and is constructed with free weighting matrices. The free terms are chosen according to the derivative of the Lyapunov-Krasovshii...
This paper deals with the design problem of robust reliable controller for nonlinear singular stochastic systems. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties and time-delay. Based on linear matrix inequality (LMI) techniques and stability theory of stochastic differential equations, stochastic Lyapunov...
This paper is concerned with the problem of stability of linear time-delay systems. Firstly, a new approach, i.e. a delay decomposition approach, is proposed to deal with the problem. The idea of the approach is that the delay interval is uniformly divided into N segments with N a positive integer, and a proper Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding...
This paper proposes an improved delay-range-dependent stability condition for linear systems with an interval time-varying delay, which satisfies h1lesd(t)lesh2. The improvement is achieved by representing d(t) as h1+h(t) with 0lesh(t)lesh2-h1, and then constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the constant time delay. It is illustrated via a numerical example...
This paper considers delay-dependent decentralized Hinfin controller for a class of uncertain interconnected systems. The decentralized output feedback controllers are designed. Combining the Lyapunov-Krasovskii functional approach, the delay integral inequality of matrices and variable substitution, the delay-dependent sufficient conditions for the existence of robust decentralized Hinfin control...
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