Robust stabilization of interval dynamic systems
The author considers a controlled process described by the linear system \( \dot x = Ax + Bu\), where \(x \in R^n\), \(u \in R^m\) are vectors of phase coordinates and control actions, respectively; the matrices \(A, B\) are not known, upper and lower bounds on the values of all its elements being given. The problem investigated is to construct feedback control actions stabilizing the system up to Lyapunov asymptotic stability with a prescribed robustness measure, i.e the closed-loop interval system should be exponentially stable and the eigenvalues of its matrix should satisfy given restrictions. Sufficient conditions ensuring the existence of robust feedback controllers are presented and an algorithm for determining sought control actions is justified. An example illustrating the technique is given.
scientific article; zbMATH DE number 1175234