\(H^ 2\)-optimization with stable controllers. (English) Zbl 0694.93028
Summary: The problem of designing a \(H^ 2\)-optimal stable feedback controller for a linear time-invariant system is considered. An algorithm is presented for obtaining such a stable controller. The degradation in the system performance is minimized while maintaining the closed-loop internal stability. For scalar systems, this is achieved by minimizing a nonlinear objective function of a parameter vector subject to nonlinear inequality constraints.
MSC:
| 93B50 | Synthesis problems |
| 93D15 | Stabilization of systems by feedback |
| 93B35 | Sensitivity (robustness) |
| 93C05 | Linear systems in control theory |
Keywords:
\(H^ 2\)-optimal stable feedback controller; closed-loop internal stability; time-invariantReferences:
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