NEAR-OPTIMUM REGULATORS FOR SINGULARLY PERTURBED JUMP SYSTEMS

Authors
SHEN SX XIA Q RAO M YING Y
Citation
Sx. Shen et al., NEAR-OPTIMUM REGULATORS FOR SINGULARLY PERTURBED JUMP SYSTEMS, Control, theory and advanced technology, 9(3), 1993, pp. 759-773
Citations number
16
Categorie Soggetti
Computer Application, Chemistry & Engineering","Controlo Theory & Cybernetics","Instument & Instrumentation","Computer Applications & Cybernetics","Engineering, Eletrical & Electronic
Journal title
Control, theory and advanced technology → ACNP
ISSN journal
09110704
Volume
9
Issue
3
Year of publication
1993
Pages
759 - 773
Database
ISI
SICI code
0911-0704(1993)9:3<759:NRFSPJ>2.0.ZU;2-L
Abstract
Singular perturbation approach is presented to study systems which are subject to random parameters. A near-optimum state regulator is compo sed of two subsystem regulators, slow and fast regulators, with the ma trix coefficients obtained from two reduced-order independent suboptim al control problems. Conditions for complete separation of slow and fa st regulator designs are given. A recursive algorithm is given for the regulator design with random parameters. It is shown that the composi te feedback control is O(epsilon) close to the optimal one, which yiel ds an O(epsilon(2)) approximation of optimal performance.