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Memoryless parameter-dependent control strategy of stochastic strict-feedback time delay systems
Institution:1. Institute of Automation, Qufu Normal University, Qufu, 273165, China;2. Faculty of Engineering, Norwegian University of Science and Technology, Trondheim, 7034, Norway
Abstract:For a class of stochastic strict-feedback nonlinear systems subject to different time delay states, this paper mainly concerns the problem of global asymptotic stabilization. Two new control strategies that the memoryless parameter-dependent state feedback control and the memoryless parameter-dependent output feedback control are taken into consideration, respectively. By skillfully constructing the Lyapunov-Krasovskii (L-K) functional, taking the proper determined parameter and employing the stochastic nonlinear time delay system (SNTDS) stability theory, the global asymptotic stability of the stochastic closed-loop system can be achieved. The proposed output feedback control scheme is finally utilized for the control design of the one-link manipulator system and two-stage chemical reactor system, which can verify the availability of the control approach.
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