Abstract
SummaryThis article is concerned with the problem of output feedback stabilization for a class of high‐order planar systems with an asymmetric output constraint. By fully extracting the characteristics of system nonlinearities and introducing a delicate manipulation of sign functions, a new tangent‐type asymmetric barrier Lyapunov function and an exquisite nonsmooth observer are proposed. Based on the presented barrier Lyapunov function as well as the nonsmooth observer, the technique of adding a power integrator, that is, a special version of the backstepping design, is skillfully revamped to establish a novel approach which systematically guides us in constructing a continuous output feedback stabilizer and achieving the requirement of a pre‐specified asymmetric output constraint. The developed approach is a unified design in the sense that it is capable of simultaneously performing the output feedback stabilization for systems with and without output constraints, without the need of changing the controller structure. An illustrative example is presented to demonstrate the effectiveness of the proposed strategy.
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