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In order to make the nonlinear affine-control systems become globally asymptotically stable; it is effective to design a kind of feedback controller by means of Lyapunov function. In addition, this way has drawn great attention in recent years. Three things are done in this paper. First, the sufficient and necessary condition about the lower semi-continuousness of feedback control mapping is introduced,...
This paper considers the generalized synchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the...
Considering slowly varying environmental external disturbances and their uncertainties, an adaptive nonlinear PID controller for the dynamic positioning system of ships is designed based on vectorial backstepping with integrator under unknown constant environmental disturbances. Using Lyapunov stability theory, it is proved that the resulting dynamic positioning control system of ships is uniformly...
This article surveys a class of large-scale systems with uncertainties and nonlinear interconnected items in its subsystems, and presents a kind of decentralized robust adaptive controller. First, a kind of robust Hinfin output feedback controller is designed for restraining the external disturbances, and then a dynamic structure adaptive neural network is introduced, which can eliminate the uncertainties...
This work is concerned with the internal stabilization of the FitzHugh-Nagumo system defined on a bounded domain. We give a sufficient condition under which such system can be exponentially stabilized by only one feedback controller acting on a nonempty open subdomain in the first equation.
The problem of fault-tolerant control for a class of nonlinear time-delay systems is investigated based on the observer technique. An adaptive observer and adaptive fault-tolerant controller are designed in proposed approach. Firstly, the adaptive observer is utilized to give a real time estimation of the fault. Then, an adaptive fault-tolerant controller is designed according to the estimation of...
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