【摘 要】
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Feedback control problems for linear periodic systems (LPSs) with interval-type parameter uncertainties are studied in the discrete-time domain. First, the stab
【机 构】
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LTCS and Center for Systems and Control,School of Electrical and Electronics Engineering
论文部分内容阅读
Feedback control problems for linear periodic systems (LPSs) with interval-type parameter uncertainties are studied in the discrete-time domain. First, the stability analysis and stabilization problems are addressed. Conditions based on the linear matrices inequality (LMI) for the asymptotical stability and state feedback stabilization, respec-tively, are given. Problems of し2-gain analysis and control synthesis are studied. For the し2-gain analysis problem, we obtain an LMI-based condition such that the autonomous uncertain LPS is asymptotically stable and has an し2-gain smaller than a positive scalar γ- For the control synthesis problem, we derive an LMI-based condition to build a state feedback controller ensuring that the closed-loop system is asymptotically stable and has an し2-gain smaller than the positive scalar γ- All the conditions are necessary and suffi-cient.
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