Further Results on Output-Feedback Stabilization for a Class of Stochastic Nonlinear Systems

Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

“…For example, (I) [34][35][36] solved the problem of finite-time stabilization; it is unclear whether scheme can be applied to solve the finitetime stabilization for nonlinear systems with time-varying output function. (II) References [37,38] proposed the output feedback controller that ensures that the equilibrium is globally asymptotically stable in probability. Then, is it possible to achieve the stabilization of nonlinear stochastic systems by the proposed strategy of this paper?…”

Stabilization of random nonlinear systems with unmodeled dynamics

“…Also, the problem has been discussed by passivation method in [8][9][10], where the worst design method is used without considering the structure of system. For stochastic systems described by Itô stochastic differential equations, some results about stability analysis and controller design (see [11][12][13]) were obtained. For stochastic nonlinear systems with observer canonical form in [14,15], Pan, Liu and their coauthors put forward an output-feedback backstepping controller to robust against some linear stable zero dynamic.…”

Further results on output feedback control for a class of high order stochastic nonlinear systems with more general conditions

“…In recent years such research hotspot mainly focused on a class of special nonlinear stochastic systems in which the nonlinear vector terms depend on the unmeasurable states besides the measurable output. To our knowledge, the existing research results on this class of special systems are [11][12][13][14][15]. [11] discussed the output feedback controller design problem by introducing two stability concepts and establishing corresponding stochastic stability criteria.…”

“…[11] discussed the output feedback controller design problem by introducing two stability concepts and establishing corresponding stochastic stability criteria. [12] considered the output-feedback stabilization problem based on reducing the amount of control by replacing K (observer gain) 1  with 0  K so as to reduce the design conservatism. For more general high order stochastic nonlinear systems, the output feedback stabilization study in which the nonlinear vector terms depend on the unmeasurable states has been few studies.…”

“…2) Different from existing papers, we extend the linear growth conditions to the power growth conditions so as to allow the result to apply to the more general situations. 3) By using backstepping design technique, we choose a high gain parameter which makes the closed-loop system globally asymptotically stable in probability and this design idea which is inspired by [11] and [12] is applied to the system described above for the first time.…”