Output feedback stabilization of stochastic high‐order nonlinear time‐delay systems with unknown output function

Abstract

Abstract This article considers the problem of output feedback stabilization for a class of stochastic high‐order nonlinear time‐delay systems with unknown output function. For stochastic high‐order nonlinear time‐delay systems, based on the Lyapunov stability theorem, by combining the addition of one power integrator and homogeneous domination method, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, an output feedback controller can be developed to guarantee the closed‐loop system globally asymptotically stable in probability.

Keywords

• asymptotic stability
• control theory
• delay systems
• nonlinear control systems
• stochastic systems