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Xu, Zhiguo; Zhao, Lin

Adaptive finite-time output feedback control for Markov jumping nonlinear systems. (English) Zbl 07840959

Int. J. Adapt. Control Signal Process. 35, No. 12, 2406-2422 (2021).
Summary: In this article, the problem of output feedback tracking control for uncertain Markov jumping nonlinear systems is studied. A finite-time control scheme based on command filtered backstepping and adaptive neural network (NN) technique is given. The finite-time command filter solves the problem of differential explosions for virtual control signals, the NN is utilized to approximate the uncertain nonlinear dynamics and the adaptive NN observer is applied to restructure the state of system. The finite-time error compensation mechanism is established to compensate the errors brought by filtering process. The proposed finite-time tracking control algorithm can ensure that the solution of the closed-loop system is practically finite-time stable in mean square. Two simulation examples are employed to demonstrate the effectiveness of the proposed control algorithm.
{© 2021 John Wiley & Sons Ltd.}

Cited in 2 Documents

MSC:

93E15 Stochastic stability in control theory
93C10 Nonlinear systems in control theory
93E03 Stochastic systems in control theory (general)
93C40 Adaptive control/observation systems
93B52 Feedback control

Keywords:

adaptive NN control; command filtered backstepping; finite-time control; Markov jumping nonlinear systems; output feedback
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References:

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