Regular Papers
International Journal of Control, Automation and Systems 2019; 17(10): 2482-2489
Published online July 26, 2019
https://doi.org/10.1007/s12555-018-0569-9
© The International Journal of Control, Automation, and Systems
Stability Analysis for State-constrained Switched Systems with All Subsystems Unstable
This paper mainly investigates the state constrained switched system with fully unstable subsystems. By limiting the state in a unit hypercube, a sufficient condition is derived to ensure the stability of such systems via a time-dependent strategy. The main idea is to use positive switching behavior to compensate state divergence caused by unstable states and setting a different ascend rate when state constraints occur or not. In order to make the conditions computable for a continuous-time switched systems with state constraints, the discretized Lyapunov Function method is applied, then a numerical example is given to show the practicability of the proposed method.
Keywords Dwell time, stability analysis, state constraints, switched systems.
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Regular Papers
International Journal of Control, Automation and Systems 2019; 17(10): 2482-2489
Published online October 1, 2019 https://doi.org/10.1007/s12555-018-0569-9
Copyright © The International Journal of Control, Automation, and Systems.
Stability Analysis for State-constrained Switched Systems with All Subsystems Unstable
Jian Li, Wen Li, and Qingyu Su*
Northeast Electric Power University
Abstract
This paper mainly investigates the state constrained switched system with fully unstable subsystems. By limiting the state in a unit hypercube, a sufficient condition is derived to ensure the stability of such systems via a time-dependent strategy. The main idea is to use positive switching behavior to compensate state divergence caused by unstable states and setting a different ascend rate when state constraints occur or not. In order to make the conditions computable for a continuous-time switched systems with state constraints, the discretized Lyapunov Function method is applied, then a numerical example is given to show the practicability of the proposed method.
Keywords: Dwell time, stability analysis, state constraints, switched systems.
Vol. 23, No. 3, pp. 683~972
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