Pathological basal ganglia oscillations are associated with the hypokinetic motor symptoms of Parkinson’s *** this paper,a memoryless feedback control strategy is proposed to suppress pathological oscillations in the...
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Pathological basal ganglia oscillations are associated with the hypokinetic motor symptoms of Parkinson’s *** this paper,a memoryless feedback control strategy is proposed to suppress pathological oscillations in the basal *** the most of closed-loop control strategies,the excitatory subthalamic nucleus populations are both monitored and stimulated targets,neglecting the important contribution of the external globus pallidus populations in suppressing pathological *** this end,we transform the original model into a time-delay system with a lower-triangular structure,and construct a memoryless state feedback controller utilizing the gain scaling *** is proved by the Lyapunov–Krasovskii functional method that all the signals of the resulting closed-loop system are bounded,and the system states converge to an adjustable region of the *** addition,the input delay in stimulating the target is considered and a corresponding controller is designed to achieve convergence of the states in the resulting closed-loop system with both state delays and input ***,simulation tests are conducted to explore the performance of the control *** paper further explores the intrinsic dynamics in the neural system,and provides an effective strategy for closed-loop deep brain stimulation control.
This study investigates decentralised fault-tolerant finite-time stabilisation problem for a class of interconnected non-linear systems with gain fault in each actuator. Each subsystem of the interconnected system is ...
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This study investigates decentralised fault-tolerant finite-time stabilisation problem for a class of interconnected non-linear systems with gain fault in each actuator. Each subsystem of the interconnected system is with lower-triangular structure. In the procedure of controller design, unknown faults of the system are eliminated via robust control technology. Then, based on finite-time Lyapunov stability theorem and recursive design algorithm, decentralised state feedback controller is proposed to guarantee global finite-time stabilisation of the interconnected system. Finally, two simulation examples are given to verify the effectiveness of the proposed design method.
A new feedback design tool called adding a power integrator is introduced and used to solve the problem of global robust stabilization, for a significant class of uncertain nonlinear systems that are of a lower-triang...
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A new feedback design tool called adding a power integrator is introduced and used to solve the problem of global robust stabilization, for a significant class of uncertain nonlinear systems that are of a lower-triangular form but neither necessarily feedback linearizable (fully or partially) nor affine in the control input, and therefore cannot be dealt with via conventional approaches. Sufficient conditions are presented under which a globally stabilizing smooth state feedback control law can be explicitly constructed, using repeatedly the adding one power integrator technique. This novel design technique permits removal of the feedback linearizability and linearity of the control input, which have been two common assumptions so far in the literature of nonlinear control. (C) 2000 Elsevier Science B.V. All rights reserved.
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