Abstract
In this paper, a new approach for fixed-structure H2 controller design in terms of solutions to a set of linear matrix inequalities are given. Both discrete-time and continuous-time SISO time-invariant systems are considered. Then the results are extended to systems with polytopic uncertainty. The presented methods are based on an inner convex approximation of the non-convex set of fixed-structure H2 controllers. The designed procedures are initialized either with a stable polynomial or with a stabilizing controller. An iterative procedure for robust controller design is given that converges to a suboptimal solution. The monotonic decreasing of the upper bound on the H2 norm is established theoretically for both nominal and robust controller design.
Original language | English |
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Pages (from-to) | 794-809 |
Number of pages | 16 |
Journal | Optimal Control Applications and Methods |
Volume | 36 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Nov 2015 |
Externally published | Yes |
Keywords
- fixed-order control
- H performance
- linear matrix inequality
- polytopic systems