Predictor-Based Output-Feedback Control of Linear Stochastic Systems With Large I/O Delays
Filippo Cacace, Alfredo Germani, Costanzo Manes, Marco Papi
Abstract
In this article, we extend the stability results of cascaded closed-loop predictors for deterministic systems to stochastic linear systems with additive noise and arbitrarily large time-varying input delay, under suitable hypothesis on the delay function. We propose an output-feedback controller design based on a set of differential delay equations with size depending on the delay bound and we show that it ensures exponential stability in mean and mean square stability of the controlled system. The result is extended to multiple delays on separate input signals and to systems with arbitrarily large output delays.
Topics & Concepts
Control theory (sociology)Exponential stabilityStability (learning theory)MathematicsController (irrigation)Linear systemNoise (video)Function (biology)Upper and lower boundsComputer scienceControl (management)Nonlinear systemEvolutionary biologyQuantum mechanicsBiologyPhysicsAgronomyArtificial intelligenceMathematical analysisImage (mathematics)Machine learningStability and Controllability of Differential EquationsStability and Control of Uncertain SystemsControl Systems and Identification