Data-Driven Criteria for Detectability and Observer Design for LTI Systems
Vikas Kumar Mishra, Henk J. van Waarde, Naim Bajçinca
Abstract
We study the problems of determining the detectability and designing a state observer for linear time-invariant systems from measured data. First, we establish algebraic criteria to verify the detectability of the system from noise-free data. Then, we formulate data-driven linear matrix inequality-based conditions for observer design. Finally, we give conditions to infer the detectability of the system from noisy data.
Topics & Concepts
Observer (physics)LTI system theoryLinear systemComputer scienceLinear matrix inequalityControl theory (sociology)Noise measurementAlgebraic numberNoise (video)Sampled data systemsState observerNoisy dataInvariant (physics)Data modelingAlgorithmMathematicsMathematical optimizationControl systemArtificial intelligenceEngineeringNoise reductionControl (management)Mathematical analysisPhysicsDatabaseMathematical physicsImage (mathematics)Nonlinear systemQuantum mechanicsElectrical engineeringControl Systems and IdentificationFault Detection and Control SystemsProbabilistic and Robust Engineering Design