Synthesis of Interval Observers for Bounded Jacobian Nonlinear Discrete-Time Systems
Adam M. Tahir, Behçet Açıkmeşe
Abstract
A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found by solving semidefinite feasibility programs. Two cases are considered: (1) the interval observer is in the same coordinate frame as the given system, and (2) the interval observer uses a coordinate transformation. Numerical examples are provided to showcase the effectiveness of the interval observers and show an application to sampled-data systems.
Topics & Concepts
Jacobian matrix and determinantObserver (physics)Interval (graph theory)Bounded functionNonlinear systemMathematicsInterval arithmeticControl theory (sociology)Coordinate systemTransformation (genetics)Computer scienceApplied mathematicsMathematical analysisGeometryControl (management)CombinatoricsChemistryGenePhysicsBiochemistryArtificial intelligenceQuantum mechanicsStability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsAdvanced Control Systems Optimization