Exponential Stability and Local ISS for DC Networks
Joel Ferguson, Michele Cucuzzella, Jacquelien M.A. Scherpen
Abstract
In this letter, we consider the problem of regulating the voltage of an islanded Direct Current (DC) network subject to (i) unknown ZIP-loads, i.e., nonlinear loads with the parallel combination of constant impedance (Z), current (I) and power (P) components, and (ii) unknown time-varying disturbances. Using the port-Hamiltonian framework, two decentralized passivity-based control schemes are designed. It is shown that, using the proposed controllers, the desired equilibrium is exponentially stable and local input-to-state stable (LISS) with respect to unknown time-varying disturbances.
Topics & Concepts
Control theory (sociology)PassivityElectrical impedanceNonlinear systemExponential stabilityVoltageExponential functionStability (learning theory)Exponential growthConstant (computer programming)MathematicsComputer scienceControl (management)EngineeringPhysicsMathematical analysisQuantum mechanicsElectrical engineeringProgramming languageMachine learningArtificial intelligenceControl and Stability of Dynamical SystemsMicrogrid Control and OptimizationATP Synthase and ATPases Research