Joint Design of Periodically Intermittent State and Disturbance Observer for Nonlinear Distributed Parameter Systems With Incremental Quadratic Constraints

Abstract This paper addresses the joint design problem of periodically intermittent state and disturbance observer for nonlinear distributed parameter systems with incremental quadratic constraints. The nonlinear terms satisfy incremental quadratic constraints parameterized by a set of multiplier matrices, which can represent various classes of nonlinear characteristics. To simultaneously estimate the system state and disturbances and reduce the design cost of the observer, the periodically intermittent technique is incorporated into the joint design. Subsequently, to ensure that the composite error system is asymptotically stable with the H∞ performance level, sufficient conditions are derived as linear matrix inequalities (LMIs) and algebraic constraints using Lyapunov stability theory. Finally, the effectiveness and practicality of the proposed observer design are validated through two simulation examples.