On global and local observability of nonlinear polynomial systems: a decidable criterion
Daniel Gerbet, Klaus Röbenack
Abstract
Abstract It is very difficult to check the observability of nonlinear systems. Even for local observability, the observability rank condition provides only a sufficient condition. Much more difficult is the verification of global observability. This paper deals with the local and global observability analysis of polynomial systems based on algebraic geometry. In particular, we derive a decidable criterion for the verification of global observability of polynomial systems. Our framework can also be employed for local observability analysis.
Topics & Concepts
ObservabilityDecidabilityNonlinear systemMathematicsPolynomialRank (graph theory)Algebraic numberControl theory (sociology)Computer scienceApplied mathematicsDiscrete mathematicsArtificial intelligenceMathematical analysisCombinatoricsControl (management)PhysicsQuantum mechanicsExtremum Seeking Control SystemsAdaptive Control of Nonlinear SystemsAdvanced Control Systems Optimization