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This paper addresses the design problem of practical (or satisfaction) adaptive output-feedback tracking control for stochastic strict-feedback nonlinear uncertain systems in observer canonical form with stable zero-dynamics under long-term average tracking error risk-sensitive cost criteria. The cost function adopted here is of quadratic-integral type usually encountered in practice, rather than...
In this paper, the output-feedback stabilization problem is investigated for the first time for a class of stochastic nonlinear systems whose zero dynamics may be unstable. Under the assumption that the inverse dynamics of the system is stochastic input-to-state stabilizable, a stabilizing output-feedback controller is constructively designed by the integrator backstepping method together with a new...
In this paper, robust output-feedback stabilization is presented for a class of uncertain stochastic nonlinear systems with time-varying time delays. First, the conditions of existence and uniqueness of the solution process are provided and two new stability notions are introduced for stochastic time-delay systems. Based on these preparations, for a class of uncertain stochastic nonlinear systems...
In this paper, the problem of adaptive stabilization is investigated for stochastic nonlinear systems with three types of uncertainties: parametric uncertainties, uncertain nonlinearities and unmodeled dynamics. Under the assumption that the unmodeled dynamics are stochastic input-to-state stable, for the general smooth systems in which both drift and diffusion vector fields depend on not only the...
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