由於外力形式之隨機特性與系統識別之誤差，傳統被動調諧質量阻尼器（TMD）系統對於頻率去調諧效應十分敏感，而藉由混合型調諧質量阻尼器（HMD）進行額外主動控制力施加輔助時，時間延遲效應勢必產生，預期造成控制效果折減。實務上，由於被動系統之阻尼項參數掌握不易，本文提出可調式「擬混合型調諧質量阻尼器」系統，並經由最佳化時間延遲補償之主動控制力來提供所需之阻尼力。

為提供此一控制系統於實務應用上之設計與安裝準則，並配合電腦數位控制裝置之運作，本文以離散時間數位控制理論為基礎，考慮時間延遲影響，運用最佳化直接輸出回饋控制法則，探討其在頻率域上之控制成效，亦進一步利用「多重取樣之時域分析法」來進行歷時控制效果之探討與驗證。結果驗證本文所提出之擬混合型調諧質量阻尼器系統，在選擇恰當的最佳化控制設計值及最佳延遲時間時，利用離散時間最佳化控制增益理論，補償時間延遲效應並提供穩定的模態阻尼及調諧的模態頻率，其控制成效優於傳統之TMD與HMD系統。

The vibration mitigation performance of a conventional tuned mass damper system (TMD) is very sensitive to the fluctuation in tuning of the designed frequency to the
natural frequency of the main system. Because of the stochastic characteristics of external loading and the errors of identifying system parameters, a hybrid mass damper system (HMD) with optimal selection on control parameters can enhance the designed performance with the help of a supplementary active force acted between the main system and the mass damper. However, the control performance degradation induced by the control force application time delay should be considered and investigated before practical application.

In practical consideration, using discrete time optimal control theorem involved time delay effect ,the Pesudo Hybrid Mass Damper (PHMD) systems are proposed to investigate the interactive detuning of parameter and time delay. A multiple-sampling -rate algorithm is applied to verify the control performance in time domain subjected to earthquake excitations. From numerical results of frequrncy domain and time domain, if choose optimal control designed value and optimal delay time, the good control performance provide stable modal damping and keep tuning,which better than TMD & HMD system.

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