IEEE Transactions on Automatic Control · 2009 · 78 citations · 14 references
EngineeringSystems EngineeringDynamical SystemsReal-time SystemsSystem DynamicsControl System DesignControl SystemsControl TheoryFeedback ControlRobust ControlStability TheoryControl System Stability In The Time DomainDelay-dependent StabilityDelay-dependent Stability AnalysisDelay-dependent Stability CriteriaDelay-independent StabilityDelay-independent Stability AnalysisDelay-independent Stability CriteriaTime-delay Compensation
Reset control systems have potential advantages to overcome fundamental limitations of LTI compensation. However, since a reset compensator may destabilize a stable base LTI system, stability needs to be guaranteed in advance for a proper practical application of reset control. This works extends previous stability results of reset control systems to consider the case of LTI plants with time-delays. Stability independent of the delay criteria are developed both by means of LMIs and in the frequency domain by using the KYP Lemma.
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On the Kalman—Yakubovich—Popov lemma
Anders Rantzer · Systems & Control Letters · 1996 · 909 citations
Switching between stabilizing controllers
João P. Hespanha, A. Stephen Morse · Automatica · 2002 · 446 citations