dc.contributor.advisor | Datta, Aniruddha | |
dc.creator | Xu, Hao | |
dc.date.accessioned | 2005-02-17T21:02:39Z | |
dc.date.available | 2005-02-17T21:02:39Z | |
dc.date.created | 2004-12 | |
dc.date.issued | 2005-02-17 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/1480 | |
dc.description.abstract | controllers for discrete-time systems and time-delayed systems. By using bilinear
transformation and orthogonal transformation, earlier research results obtained in
the continuous-time case are extended to discrete-time situation. The complete set of
stabilizing PID controllers for the discrete-time systems is thus obtained. Moreover,
this set remains to be a union of convex sets when one particular parameter is fixed.
Thus a method to design robust and non-fragile digital PID controllers is proposed
by following a similar design procedure for the continuous-time systems. In order to
find the stabilizing controller set for systems with time-delays, the relationship between
the Nyquist Criterion and Pontryagins theory is investigated. The conditions
under which one can correctly apply the Nyquist Criterion to time-delayed systems
are derived. Then, the complete set of stabilizing PID controllers for arbitrary order
LTI systems with time-delay up to a given value is obtained. Furthermore, the stability
issue of a system with fixed-delay is also studied and a formula which provides
complete knowledge of the distribution of the closed-loop poles is presented. Based
on this formula, stabilizing P and PI controller sets for the system with fixed-delay
can be computed. | en |
dc.format.extent | 1273208 bytes | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | Texas A&M University | |
dc.subject | PID | en |
dc.subject | LTI | en |
dc.subject | discrete-time | en |
dc.subject | time-delay | en |
dc.subject | stabilization | en |
dc.title | Synthesis and design of PID controllers | en |
dc.type | Book | en |
dc.type | Thesis | en |
thesis.degree.department | Electrical Engineering | en |
thesis.degree.discipline | Electrical Engineering | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.level | Doctoral | en |
dc.contributor.committeeMember | Halverson, Don R. | |
dc.contributor.committeeMember | Bhattacharyya, Shankar P. | |
dc.contributor.committeeMember | Jayasuriya, Suhada | |
dc.type.genre | Electronic Dissertation | en |
dc.type.material | text | en |
dc.format.digitalOrigin | born digital | en |