State Observers for Systems Subject to Bounded Disturbances Using Quadratic Boundedness
A. Alessandri, Francesca Boem
Abstract
Quadratic boundedness is adopted to construct state observers for linear, piecewise linear, and Lipschitz nonlinear systems subject to bounded disturbances. Upper bounds on the estimation error are derived by exploiting quadratic boundedness and a design method based on linear matrix inequalities is proposed to minimize such bounds. Simulation results are provided to show the effectiveness of the proposed approach.
Topics & Concepts
Bounded functionMathematicsLipschitz continuityQuadratic equationControl theory (sociology)Linear systemState (computer science)Nonlinear systemPiecewiseApplied mathematicsMathematical optimizationPiecewise linear functionComputer scienceAlgorithmControl (management)Mathematical analysisArtificial intelligenceGeometryPhysicsQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsFault Detection and Control Systems