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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Khargonekar, Pramod P. Rotea, Mario A. |
| Copyright Year | 1989 |
| Description | Author affiliation: Department of Electrical Engineering and Center for Control Science and Dynamical Systems, University of Minnesota, Minneapolis, MN 55455 (Khargonekar, Pramod P.; Rotea, Mario A.) |
| Abstract | Most control system design problems involve making tradeoffs among competing objectives. In this paper we consider the control system synthesis problem that arises when the objective is to find a controller such that seveal closed loop transfer functions are small in an appropriate sense. To be more precise, given a linear-time invariant plant, the objective is to find all stabilizing compensators that are noninferior (or Pareto-optimal) with respect to a vector-valued H2 performance criterion. It is shown that this multiple criteria Optimization problem can be reduced to a simultaneous model matching problem in a Hilbert space. Moreover, state-space formulas are given to solve this model matching problem. We also show that in some particular cases non-inferior controllers have the same order as that of the given plant, and in these cases the above state-space formulae can be further simplified. |
| Starting Page | 171 |
| Ending Page | 176 |
| File Size | 609903 |
| Page Count | 6 |
| File Format | |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1989-06-21 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | American Automatic Control Council(AACC) |
| Subject Keyword | Optimal control Hydrogen Control systems Cost function Hilbert space Frequency Robust stability Computer aided software engineering Control system synthesis Transfer functions |
| Content Type | Text |
| Resource Type | Article |
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