出力フィードバックによる周期係数離散時間システムの遷移行列設定 Transition Matrix Assignment for Periodic Discrete System via Output Feedback
Recently, for linear ω-periodic discrete-time systems, authors proposed a new control method which is based on infrequently observation and a time-varying feedback, that is called Sampled Incomplete State Periodic Hold Control (SISPHC). It includes Sampled State Periodic Hold Control (SSPHC) as a special case. When using SSPHC, it is possible to assign the closed-loop transition matrix over n ω steps arbitrarily, where n is the dimension of a state vector, if and only if an open-loop system is reachable. But, when using SISPHC, it is impossible to assign the transition matrix. This paper proposes a new method for assigning the transition matrix by using observers. Necessary and sufficient conditions for assigning the transition matrix of the closed-loop system and simple procedures to calculate the observer gain are given. Simple numerical examples are also given.
計測自動制御学会論文集 34(9), 1153-1158, 1998-09-30
The Society of Instrument and Control Engineers