Stability condition for sampled data based control of linear continuous switched systems |
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Authors: | Liu Feng Y.D. Song |
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Affiliation: | Center for Intelligent Systems and Renewable Energy, School of Electronics and Information Engineering, Beijing Jiaotong University, 100044 Beijing, China |
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Abstract: | Most practical systems are continuous in nature but with discrete (sampled) feedback when digital control is utilized. This paper investigates the stabilization problem of switched linear continuous-time systems with sampled data based control. For both known and unknown arbitrary switching processes, on the basis of Lyapunov stability theory, a sufficient global exponential stability condition related to Dwell time and sampling period is established. For the latter case, on-line one-step adaptive estimation algorithm is derived and integrated with sampled feedback for control design. Validation and verification of the established result are conducted through cruise control of train systems. |
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Keywords: | Switched system Stabilization Adaptive identification Sampled data based control |
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