Robust Feedback Stabilization of Linear MIMO Systems Using Generalized Homogenization
Konstantin Zimenko, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti
Abstract
A robust nonlinear control is designed for stabilizing linear multi-input-multi-output systems. The presented control law homogenizes a linear system (without its transformation to a canonical form) with a specified degree and stabilizes it in a finite time (or with a fixed-time attraction to any compact set containing the origin) if the degree of homogeneity is negative (positive). The tuning procedure is formalized in an linear matrix inequalities (LMI) form. Performance of the approach is illustrated by numerical and experimental examples.
Topics & Concepts
Homogenization (climate)Control theory (sociology)Homogeneity (statistics)Nonlinear systemMathematicsLinear matrix inequalityMIMOLinear systemFeedback controlApplied mathematicsComputer scienceMathematical optimizationControl (management)Mathematical analysisControl engineeringEngineeringPhysicsStatisticsArtificial intelligenceEcologyBiodiversityBeamformingBiologyQuantum mechanicsControl and Stability of Dynamical SystemsDynamics and Control of Mechanical SystemsStability and Control of Uncertain Systems