Non-smooth fixed-time state feedback stabilization of uncertain switched systems with output constraints.

In this paper, non-smooth fixed-time state feedback stabilization of output-constrained uncertain switched systems has been investigated. First, to deal with the output constraints implicitly, a tangent-type barrier Lyapunov function (T-BLF), which degenerates into a quadratic function as the output constraints tend to infinity, is constructed deliberately. Then, the fixed-time state feedback control scheme for the output-constrained uncertain switched systems is established with remoulding the technique called adding a power integrator (AAPI).

Finite-time state feedback stabilization of strict-feedback switched systems with asymmetric output-constraints.

Finite-time stabilization of strict-feedback switched systems with asymmetric output constraints (AOCs) via state feedback is investigated. First, an elaborately constructed fraction-type barrier Lyapunov function (BLF) is presented. Then, with a mild assumption on strict-feedback switched systems, state feedback laws are constructed by revamping the adding a power integrator approach (AAPIA) and meanwhile a common Lyapunov function (CLF) is also obtained.

Stabilization of planar switched systems with an output constraint via output feedback.

In this paper, smooth output feedback stabilization (OFS) problem of planar output-constrained switched nonlinear systems (SNS) is investigated. Adding a power integrator technique (APIT) is employed to design state feedback controllers in a systematic manner combining with a constructed common logarithm-type barrier Lyapunov function (BLF). Then, by incorporating the variable-gain reduced-order observers designed constructively, switched systems can be stabilized via smooth output feedback and the output constraint is guaranteed simultaneously.