Abstract
A technique to design stabilizing state feedback controllers is presented for linear discrete-time systems subject to possibly time-varying parametric uncertainties. Conditions imposed on the uncertainties are less stringent than those found in the cited literature. The controller design procedure is based on the solution of a Riccati-like algebraic matrix equation. Stability considerations rely on the second method of Lyapunov, To evaluate the system's performance degradation due to uncertainty, an upper bound (guaranteed cost) is derived for the cost of the controlled uncertain system with respect to a designer chosen quadratic cost function. Two examples are given.
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