Stabilization via smooth partitions, transversality and graphs

With the aim of circumventing the difficulty in constructing Liapunov functions, a strategy for the design of static stabilizing feedback control laws of nonlinear systems is proposed. The basic method is to partition the state space and to find all controls so that the closed-loop dynamics are transverse or coincident to the partition edges. Stability is analyzed through the directed graph whose vertices are the subsets of the partition and whose arcs are consistent with the transversality. A strategy for the choice of partition is proposed using computable Pfaffian systems.

Name thesis:degree_name

Master of Science - MSc

Level thesis:degree_level

master's

Discipline thesis:degree_discipline

Mathematics

Grantor dc:publisher

University of British Columbia

Year dc:date

1993

Author dc:creator

• Glaum, Michael

Statement dc:rights

• For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.

Language dc:language

eng

Handle dc:identifier

http://hdl.handle.net/2429/1759

OAI identifier oai:identifier

oai:circle.library.ubc.ca:2429/1759