Peak-to-Peak Filtering for Discrete-Time Singular Systems
Xiao‐Heng Chang, Jian Wang, Xudong Zhao
Abstract
This brief on peak-to-peak filtering is carried out for discrete-time singular systems in this brief. For the sake of designing the required filter, it makes the filtering error system admissible (regular, causal, and stable), meanwhile, preserves the specified peak-to-peak performance level. By introducing a novel Lyapunov function, the peak-to-peak performance of the filtering error system is analyzed on the strength of matrix inequalities. Then, based on linear matrix inequalities (LMIs), significant design conditions of the peak-to-peak filter for discrete-time singular systems are proposed. In the end, a RC circuit is presented to verify the availability of the results.
Topics & Concepts
Filter (signal processing)Control theory (sociology)Discrete time and continuous timeMathematicsLyapunov functionLinear matrix inequalityMatrix (chemical analysis)Function (biology)Filter designApplied mathematicsComputer scienceMathematical optimizationStatisticsNonlinear systemPhysicsArtificial intelligenceComputer visionMaterials scienceEvolutionary biologyQuantum mechanicsControl (management)Composite materialBiologyStability and Control of Uncertain SystemsMatrix Theory and AlgorithmsControl and Stability of Dynamical Systems