Output feedback stabilization of output-constrained stochastic switched planar systems

The problem of output feedback stabilization for a class of stochastic switched planar systems (Sto-SPS) subjected to asymmetric output constraints is investigated. A new tangent-type asymmetric barrier Lyapunov function (BLF) with quartic terms, which is independent of nonlinear terms of Sto-SPS and takes the pre-set asymmetric output constraint into consideration, is developed first. Next, the proposed BLF is exploited to renovate the adding a power integrator technique elegantly and state feedback stabilizers are presented systematically. Then, with the deliberately constructed stochastic reduced-order switched observers, an observer-based output feedback control strategy is thereby established while guaranteeing the pre-specified asymmetric output constraint successfully. Ascribing to its unified nature, the proposed scheme is effective for Sto-SPS whether output constraints are imposed on or not, which eliminates the need for additional modifications to the controllers’ structure. The presented simulations demonstrate the effectiveness of the proposed method.