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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.

MSC:
93D15 Stabilization of systems by feedback
93C99 Model systems in control theory
93C05 Linear systems in control theory
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