Stabilization of 2D saturated systems by state feedback control. (English) Zbl 1202.93116
Summary: The problem of stabilizability of the 2D continuous-time saturated systems under state-feedback control is solved in this paper. Two cases are considered: the first one, the control may saturate and limits may be attained. The second one, the control does not saturate and limits are avoided. Sufficient conditions of asymptotic stability are presented. The synthesis of the required controllers is given under LMIs form. Illustrative examples are treated.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93D30 | Lyapunov and storage functions |
| 93D20 | Asymptotic stability in control theory |
| 93C05 | Linear systems in control theory |
Keywords:
2D Roesser model; continuous-time systems; state-feedback control; Lyapunov functions; saturation; LMIsReferences:
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