A variable-period scheme for dynamic sampled-data stabilization

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Dear editor,rnWith the popularity of computers and networks in control systems,sampled-data control is becoming increasingly im-portant and has attracted intensive attention over the past decades[1,2].However,for systems with serious uncer-tainties(without any known upper bounds),particularly additive uncertainties,it is rather challenging to achieve sampled-data control:the classical schemes with constant sampling rate usually fail to work,while schemes with variable sampling rate are complex and difficult to imple-ment.We specially mention[3],wherein an adaptive ad-justment mechanism was introduced to the variable sam-pling rate to handle the serious uncertainties.However,the scheme in[3]is inapplicable to cases with additive uncer-tainties/disturbances.Although studies in[4,5]considered cases with additive disturbances,these authors provided only sampled-data control schemes without any compensa-tion mechanism to additive disturbances.Thus,they estab-lished only certain quantitative relations between the system states and the additive disturbances(e.g.,input-to-state sta-bility in[4]and Lp in[5]).In a separate development,[6]proposed an event-triggered scheme of output regulation for single-input single-output linear systems.
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