Direct Block Diagonalization and Composite Control of Three-Time-Scale Systems
Singular perturbation methods have successfully been used in control applications to deal with multi-time-scale systems, by which the system is decomposed into a ‘slow’ subsystem and one or more ‘boundary layer’ or ‘fast’ subsystems. A system expressed in explicit singularly perturbed form generally has a small parameter ε appearing as a multiplier to the derivative of the ‘fast’ variables. Here, the system decomposition is achieved by setting ε =0 and solving for the ‘fast’ subsystem variables in terms of the ‘slow’ ones, and then substituting them in the ‘slow’ subsystem equations.
KeywordsClose Loop System State Feedback Controller Composite Control Block Diagonalization Composite Regulator
Unable to display preview. Download preview PDF.