Method to Design Interval Observers for Linear Time-Invariant Systems
Alexey Zhirabok, V. V. Zuev, Kim Chkhun Ir
Abstract
Abstract The problem of designing interval observers for linear dynamical systems with uncertainty is considered. The relations to construct an interval observer of the minimal complexity are derived. This observer estimates the set of admissible values for a given linear function of the system state vector. The theoretical results are illustrated by an example.
Topics & Concepts
Observer (physics)MathematicsInterval (graph theory)Linear dynamical systemMechatronicsLTI system theoryLinear systemState vectorInvariant (physics)Dynamical systems theoryControl theory (sociology)Interval arithmeticRoboticsApplied mathematicsArtificial intelligenceComputer scienceMathematical analysisControl (management)RobotCombinatoricsBounded functionClassical mechanicsPhysicsMathematical physicsQuantum mechanicsFault Detection and Control SystemsControl Systems and IdentificationAdvanced Control Systems Optimization