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In this paper, a new relaxed condition is proposed to deal with H∞ control for nonlinear discrete-time systems that are represented by T-S fuzzy model. The main results are derived based on the nonquadratic Lyapunov function and the non-PDC controller. The new relaxed conditions are expressed in terms of linear matrix inequalities, which can be efficiently solved by software. Finally, illustrative...
In this paper, state feedback controller is applied to solve robust fault-tolerant problem for singular bilinear system with Markovian jump. The aim of this problem is to design a state feedback controller that ensures stochastic stability of the closed-loop system and the L2-induced gain from the noise signal to the estimation signal remains bounded by a prescribed value, whether the actuators are...
The problem of fuzzy static output feedback H∞ control is investigated for a class of nonlinear systems with time-varying delay. Specifically, the considered system is approximated by a Takagi-Sugeno (T-S) fuzzy model. By using linear matrix inequality (LMI) methods, we design a fuzzy static output feedback H∞ controller, which guarantees asymptotic stability and a prescribed H∞ index for the resulting...
This paper investigates the problem of static output feedback H∞ control for a class of nonlinear systems via a linear matrix inequality (LMI) approach. The considered system is approximated by the Takagi-Sugeno (T-S) fuzzy model. Based on a Lyapunov functional method, we develop a H∞ control law which makes the closed-loop system is asymptotically stable with guaranteed H∞ performance. In contrast...
The paper presents a synthesis of fuzzy H∞ robust controller for a nonlinear multivariable systems. A detailed description of fuzzy models was presented, where system dynamics were modeled using T-S fuzzy system. The article also presents the mathematical formulation of the proposed controller, through which an H∞ fuzzy robust controller design was formulated as LMI formulation. A closed loop fuzzy...
This paper deals with the problem of robust stochastic stabilization for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system with norm-bounded parameter uncertainties and Markovian jump parameters. The purpose of the robust stochastic stabilization problem is to design a...
This paper deals with the problem of stabilizing a bilinear system via linear state-feedback control. The proposed procedures enable us to compute a static state-feedback controller such that the zero-equilibrium point of the closed-loop system is asymptotically stable; moreover, it ensure that an assigned polytopic region is enclosed into the domain of attraction of the equilibrium point. The controller...
This paper deals with the problem of robust reliable control for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system with norm-bounded parameter uncertainties and Markovian jump parameters. The objective is to design a state feedback fuzzy controller such that, for all admissible...
The problem of static output feedback fuzzy control for a class of nonlinear fuzzy impulsive time-delay systems is investigated by employing Lyapunov functions. A new scheme of robust fuzzy control via linear matrix inequality (LMI) technique is proposed. The so-called parallel distributed compensation (PDC) idea is employed to design the static output feedback controller. Sufficient conditions for...
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