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.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/1480 |
| Date | 17 February 2005 |
| Creators | Xu, Hao |
| Contributors | Datta, Aniruddha |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | 1273208 bytes, electronic, application/pdf, born digital |
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