×

Stabilization of linear systems in the presence of output measurement saturation. (English) Zbl 0875.93476

Summary: This note considers siso nonlinear systems, which have a linear controllable and observable part followed by a measurement saturation nonlinearity. A controller is presented, which feeds back only the saturating output measurements and nevertheless globally asymptotically stabilizes the system. The equilibrium is actually reached in finite time, i.e. the controller is dead beat.

MSC:

93D15 Stabilization of systems by feedback
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Alvarez-Ramirez, J.; Suarez, R.; Alvarez, J., Semiglobal stabilization of multi-input linear systems with saturated linear state feedback, Systems control lett., 23, 247-254, (1994) · Zbl 0815.93066
[2] Kazakos, D.; Tsinias, J., Stabilization of nonlinear discrete time systems using state detection, IEEE trans. automat. control, 38, 1398-1400, (1993) · Zbl 0787.93078
[3] Lin, Z.; Saberi, A., Semi-global exponential stabilization of linear discrete time systems subject to input saturation via linear feedbacks, Systems control lett., 24, 125-132, (1995) · Zbl 0877.93095
[4] Mazenc, F.; Praly, L., Global stabilization by output feedback: examples and counterexamples, Systems control lett., 23, 119-125, (1994) · Zbl 0816.93068
[5] Nijmeijer, H.; van der Schaft, A.J., Nonlinear dynamical control systems, (1990), Springer New York · Zbl 0701.93001
[6] Pajunen, G., Adaptive control of Wiener type nonlinear systems, Automatica, 28, 781-785, (1992) · Zbl 0765.93042
[7] Suarez, R.; Solis-Daun, J.; Alvarez, J., Stabilization of linear controllable systems by means of bounded continuous nonlinear feedback control, Systems control lett., 23, 403-410, (1994) · Zbl 0866.93088
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.