Authors:
Flavio Nardi,
Anthony J. Calise,
Volume: 1, Page 3825 Paper number 1165
Abstract:
In this paper we develop an adaptive dynamic inverting controller with
guaranteed closed loop stability for partially or completely unknown
nonlinear non affine dynamic systems. We assume full state feedback
and no zero dynamics. A single hidden layer neural network is used
to approximate the inverse map, and a stable adaptive scheme is used
to update on-line the neural network weights. Stability is guaranteed
by introducing a robust adaptive bound. The performance of the adaptive
scheme is demonstrated in a tracking task controller design and simulation
for the nonlinear Van der Pol oscillator.
Authors:
Valeri A. Terekhov,
Ivan Yu. Tyukin,
Danil V. Prokhorov,
Volume: 1, Page 3831 Paper number 1935
Abstract:
We propose a new method of adaptive control on manifolds for non-linear
plants in the full-state feedback case using radial basis function
(RBF) neural networks. We introduce a procedure for synthesis of adaptation
algorithms based on associated performance criteria. We analyze applicability
of the algorithms developed for a quadratic performance criterion.
Authors:
Ying Tan,
Jian-Xin Xu,
Volume: 1, Page 3837 Paper number 1417
Abstract:
In this paper, a novel composite energy function (CEF) is introduced
to provide a general framework for incorporating system information
along both time and learning repetition horizon. Based on the CEF,
learning control is integrated with nonlinear sub-optimal control to
enhance control performance for a class of nonlinear system with time-varying
parametric uncertainties. Sub-optimal control strategy based on control
Lyapunov function (CLF) and Sontag's formula provides a sub-optimal
performance as well as stability along time horizon for the nominal
part of the nonlinear dynamic system. Learning mechanism tries to learn
unknown time-varying parametric uncertainties so as to eliminate uncertain
effects. The proposed control scheme achieves asymptotical convergence
along learning repetition horizon. At the same time, the boundedness
and pointwise convergence of the tracking error along time horizon
are also ensured.
Authors:
Subbarao Varigonda,
Tryphon T. Georgiou,
Volume: 1, Page 3843 Paper number 2139
Abstract:
In this paper, we provide a sufficient condition for the global stability
of a periodic orbit using the contraction mapping theorem. The condition
is obtained by identifying an invariant set of the system dynamics
in which the Poincare map is continuous and contractive. An upper bound
on the norm of the derivative of the map is obtained by exploiting
its geometric structure.
Authors:
Wen Yu,
Xiaoou Li,
Volume: 1, Page 3848 Paper number 2107
Abstract:
In this paper the passivity approach is applied to access several
stability properties of neuro identifier. A dynamic neural network
is used for nonlinear system no-line identification. By using a simple
gradient learning law, the conditions for passivity, stability, asymptotic
stable and input-to-state stability are established. We get a very
interesting result: gradient algorithm is robust with respect to all
kinds of bounded uncertainties for neuro identifier.
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