Quantized stabilization for switched affine systems with event‐triggered mechanism
Xiaozeng Xu, Yang Li, Hongbin Zhang
Abstract
Abstract This article is mainly concerned with quantized stabilization for switched affine systems with the periodic event‐triggered mechanism. By considering the effect of the event‐triggered scheme, a mathematical model for a closed‐loop control system with quantization is constructed. Theorems for main results are developed to guarantee the practical stability of the desired equilibrium point by using Lyapunov stability theory and linear matrix inequality techniques. Based on the derived sufficient conditions in theorems, the state feedback gains together with a switching function are presented in an explicit form. At last, a numerical example is proposed to illustrate our approach.
Topics & Concepts
Control theory (sociology)Affine transformationLyapunov functionQuantization (signal processing)MathematicsEquilibrium pointStability (learning theory)Linear matrix inequalityExponential stabilityComputer scienceControl (management)Mathematical optimizationAlgorithmPure mathematicsNonlinear systemMathematical analysisDifferential equationQuantum mechanicsArtificial intelligencePhysicsMachine learningStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationControl and Stability of Dynamical Systems