首页|Output feedback stabilization of stochastic high-order planar nonlinear systems with stochastic inverse dynamics and output-constraint
Output feedback stabilization of stochastic high-order planar nonlinear systems with stochastic inverse dynamics and output-constraint
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In this paper,we solve the output feedback control problem of stochastic high-order planar nonlinear systems with output constraint and stochastic integral input-to-state stability(SiISS)inverse dy-namics.By employing a key coordinate transformation,a stochastic nonlinear system with output constraint and SiISS inverse dynamics is converted into an unconstrained system.By skillfully constructing an observer and adopting SiISS small-gain conditions,we develop a new output feedback control design and analysis method,and prove that all the closed-system signals are bounded almost surely,the output constraint is not violated almost surely,and the equilibrium point of the closed-loop system is stochastically asymptotically stable.