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Improving the performance of low-gain designs for bounded control of linear systems

Abstract : Several solutions of the problem of stabilizing linear systems with bounded control rely on a one-parameter family of low-gain linear control laws u=K(ε)x. This paper presents an online scheduling of the parameter ensuring, in addition to closed-loop stability, the fastest possible transient between two extreme values of ε, chosen for stability and performance, respectively.
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https://hal.inria.fr/hal-01091545
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Frédéric Grognard, Rodolphe Sepulchre, Georges Bastin. Improving the performance of low-gain designs for bounded control of linear systems. Automatica, Elsevier, 2002, 38 (10), pp.1777-1782. ⟨10.1016/S0005-1098(02)00086-9⟩. ⟨hal-01091545⟩

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