zbMATH — the first resource for mathematics

Linear systems with bounded inputs: Global stabilization with eigenvalue placement. (English) Zbl 0888.93050
Based on the solution of a parameterized family of LQR algebraic Riccati equation, the paper proposes a technique for stabilizing a linear continuous time system, with box-constrained inputs. If the open loop system matrix has all eigenvalues with nonpositive real part, global stabilization can be achieved, otherwise a region of attraction in the state space is defined, such that the controller does not saturate. The idea consists in defining a continuous state feedback control, which is a nonlinear law outside an ellipsoidal neighborhood of the state space origin, and is a linear law if the state belongs to the above ellipsoidal set. In both cases the controller never saturates.

93D15 Stabilization of systems by feedback
93C99 Model systems in control theory
93C05 Linear systems in control theory
Full Text: DOI