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Semiglobal stabilization of multi-input linear systems with saturated linear state feedback. (English) Zbl 0815.93066

Summary: For multi-input linear systems with eigenvalues in the closed left-half complex plane, we address the problem of stabilization by a linear state feedback subject to saturation. Using an eigenvalue-generalized eigenvector assignment technique, we prove that such systems can be semiglobally stabilized with a saturated linear state feedback. Based on this result, we propose an algorithm to calculate a parametrized family of state feedback gain matrices that semiglobally stabilize the system. Two examples are used to illustrate the results.

MSC:

93D15 Stabilization of systems by feedback
93C35 Multivariable systems, multidimensional control systems
93C05 Linear systems in control theory
93B60 Eigenvalue problems
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