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In this paper, based on an ingenious Lyapunov function, an increased coupling control method is derived for overhead cranes, the performance of which is superior over most existing methods. Specifically, in terms of a composite signal, a Lyapunov function is constructed by solving partial differential equations. Then, a novel increased coupling control method is investigated straightforwardly, and...
The water distribution system (WDS) is composed by several elements, where flow control is one of the most important components needed in order to provide a satisfactory level of service. In order to advene an adequate level of water in the distribution tanks, we need to dynamically control the flow. Here, we propose a replicator dynamics approach in order to control tanks, by allocating in them the...
Stability theory plays a central role in system theory and engineering. Stability of equilibrium points is usually characterized in the sense of Lyapunov. Based on Lyapunov theory, this paper proposes a general methodology that uses fuzzy logic to systematically and formally analyze and synthesize nonlinear control systems, which are stable by design. The proposed methodology avoids searching for...
This paper proposes a brand new T-S fuzzy model-based approach to achieve synchronization and desynchronization of coupled dynamical systems. The T-S fuzzy models are given to exactly represent the coupled dynamical systems. We analyze the overall fuzzy synchronization and desynchronization system by applying Lyapunov theory and derive stability conditions by solving linear matrix inequalities (LMI)...
In this paper, an active queue management (AQM) for TCP flows is designed by means of Lyapunov theory. To this end, we choose a non conservative Lyapunov candidate function which allows knowing how the marking/droping process should be done to achieve stability. This design leads to an AQM based on rate mismatch which insure responsiveness to the variation of the network's characteristics, and is...
This paper presents a new approach to the design of a fuzzy logic control scheme for a general class of nonlinear systems. For practical consideration, we firstly define two generalized errors as inputs to form a novel two-input single-output fuzzy PD controller. Then, a supervisor is incorporated into the control scheme to help achieve its closed-loop stability. The supervisor is derived based on...
This paper deals with networked control systems with random long time-delay problem. According to the actual time-delay, we design a discrete model of networked control systems and propose a fuzzy controller based on parallel distributing compensation theory. The method to design membership function is also presented. Lyapunov theory and linear matrix inequality are used to derive the sufficient conditions...
This paper focuses in the design of an adaptive sliding mode control (SMC) for induction motor drives, that reduces the high frequency chattering that usually appears in the SMC schemes. The proposed design consist of a sliding mode control law that incorporates an adaptive switching gain. This adaptive switching gain avoids the need of calculating an upper limit of the system uncertainties as it...
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