Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Control of Linear Systems with Regulation and Input Constraints
Control of Linear Systems with Regulation and Input Constraints
Imposing FIR Structure on $H^2$ Preview Tracking and Smoothing Solutions
SIAM Journal on Control and Optimization
| Hi-index | 22.14 |
This note studies stabilization problems arising in discrete estimation (or preview tracking) problems when unstable exosystems are used to impose steady-state behavior constraints. The main theme is stabilizability conditions under FIR (finite impulse response) constraints. Necessary and sufficient stabilizability conditions are derived and all solutions are parametrized. Unlike the continuous-time case, where the problem is solvable under the standard detectability condition, stabilizability in the discrete-time case depends on the length of the impulse response and, sometimes, also on the smoothing lag (length of preview).