Observer-Based Controllers for Incrementally Quadratic Nonlinear Systems With Disturbances

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem designing stabilizing for incrementally quadratic with external disturbances. The nonlinearities considered in system model satisfy incremental constraints, which are characterized multiplier matrices and encompass many common nonlinearities. simultaneous search observer controller gain formulated as feasibility linear matrix inequalities, two parameterizations (i.e., block diagonal parameterization anti-triangular parameterization) matrices, respectively. closed-loop implementing proven to be input-to-state stable respect Using proposed continuous-time controllers, event-triggered time regularization constructed globally Lipschitz systems, such that Zeno-free practically stable.