Adaptive neural control for strict-feedback stochastic nonlinear systems with time-delay

Nonlinear Dynamics (Impact Factor: 2.85). 02/2012; 77(1):267-274. DOI: 10.1016/j.neucom.2011.08.020
Source: DBLP

ABSTRACT The problem of robust stabilization is investigated for strict-feedback stochastic nonlinear time-delay systems via adaptive neural network approach. Neural networks are used to model the unknown packaged functions, then the adaptive neural control law is constructed by a novel Lyapunov–Krasovskii functional and backstepping. It is shown that all the variables in the closed-loop system are semi-globally stochastic bounded, and the state variables converge into a small neighborhood in the sense of probability.

11 Reads
  • Source
    • "Adaptive control design remains open for the important class of switched nonlinear systems that exhibit unknown nonlinearities in subsystem models using an approximator tool. Typically, the tool uses either neural networks (NNs) or fuzzy systems to parameterize the nonlinear systems with unknown nonlinearities [9] [10] [11] [12] [13] [14] [15]. Some results have also been reported for switched nonlinear systems using adaptive neural control method. "
    [Show abstract] [Hide abstract]
    ABSTRACT: This paper investigates the adaptive finite-time stabilization of a class of switched nonlinear systems with unknown nonlinear terms using neural networks. Under the assumption that all the growth conditions for the unknown nonlinear perturbation functions are partially known, the common finite-time controller and adaptive law are constructed by extending the adding-a-power-integrator technique and using the backstepping methodology. The unknown parts of the growth conditions are modeled by the neural networks and the known parts are exploited for the controller design. The bounds of neural network approximation errors are assumed to be unknown and are estimated online. It is shown that the state of the closed-loop system is finite-time stable and the parameter estimations are bounded under arbitrary switching. A simulation example is provided to show the effectiveness of the proposed method.
    Neurocomputing 05/2015; 155:177-185. DOI:10.1016/j.neucom.2014.12.033 · 2.08 Impact Factor
  • Source
    • "Adaptive controller has the ability to adjust of control parameters without the help of human intelligence. It can tune complex systems better by combining nonlinear controlling methods and intelligent control technology [22] [23]. The results show that adaptive control has the advantage to solve effectively the "
    [Show abstract] [Hide abstract]
    ABSTRACT: Usually it is difficult to solve the control problem of a complex nonlinear system. In this paper, we present an effective control method based on adaptive PID neural network and particle swarm optimization (PSO) algorithm. PSO algorithm is introduced to initialize the neural network for improving the convergent speed and preventing weights trapping into local optima. To adapt the initially uncertain and varying parameters in the control system, we introduce an improved gradient descent method to adjust the network parameters. The stability of our controller is analyzed according to the Lyapunov method. The simulation of complex nonlinear multiple-input and multiple-output (MIMO) system is presented with strong coupling. Empirical results illustrate that the proposed controller can obtain good precision with shorter time compared with the other considered methods.
    Neurocomputing 07/2014; 135:79–85. DOI:10.1016/j.neucom.2013.03.065 · 2.08 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper presents a robust adaptive sliding mode control strategy using radial basis function (RBF) neural network (NN) for a class of time varying system in the presence of model uncertainties and external disturbance. Adaptive RBF neural network controller that can learn the unknown upper bound of model uncertainties and external disturbances is incorporated into the adaptive sliding mode control system in the same Lyapunov framework. The proposed adaptive sliding mode controller can on line update the estimates of system dynamics. The asymptotical stability of the closed-loop system, the convergence of the neural network weight-updating process, and the boundedness of the neural network weight estimation errors can be strictly guaranteed. Numerical simulation for a MEMS triaxial angular velocity sensor is investigated to verify the effectiveness of the proposed adaptive RBF sliding mode control scheme.
    Nonlinear Dynamics 10/2012; 70(2). DOI:10.1007/s11071-012-0556-2 · 2.85 Impact Factor
Show more