A practical separation principle for nonlinear non-autonomous systems
Hanen Damak, Nizar Hadj Taieb, Mohamed Ali Hammami
Abstract
In this paper, we investigate the global practical uniform h-stability analysis problem for a certain class of nonlinear non-autonomous systems where the associated nominal system is linear that depends on the time t and the perturbation term satisfies some conditions. Moreover, with the help of the new notion of practical h-stable functions, we study the separation principle in the practical sense for two classes of nonlinear non-autonomous systems having a nominal linear part. We propose some classes of memoryless state linear and nonlinear feedback controllers. Furthermore, an illustrative example is given to demonstrate the applicability of main result.
Topics & Concepts
Nonlinear systemControl theory (sociology)MathematicsTerm (time)Perturbation (astronomy)Class (philosophy)Stability (learning theory)Separation (statistics)Separation principleState (computer science)Computer scienceControl (management)AlgorithmArtificial intelligenceMachine learningStatisticsPhysicsQuantum mechanicsState observerAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsGuidance and Control Systems