Decentralized Reliable Control for Large-Scale Systems
In this paper, the reliable control for large-scale systems is considered. Reliable control concerns the ability of closed loop system to maintain stability and regulation properties during arbitrary sensor, controller, and actuator failure without being retuned. Two concepts of reliable control are introduced in this work: (1) the Decentralized Robust Servomechanism Problem with Complete Reliability (DRSPwCR) and (2) the Block Decentralized Robust Servo Problem with Complete Reliability (BDRSPwCR). DRSPwCR deals with the reliable control problem of systems with a strict diagonal decentralized controller configuration. It is shown that DRSPwCR is solvable for “reliable” systems whose steady state gain matrices belong to the class of P matrices and for “unreliable”, minimum phase systems by applying strict decentralized polynomial compensation to the plant and thereby extending the class of processes that can be controlled reliably. For plants which have a pre-imposed block diagonal structure or non-minimum phase minors, BDRSPwCR is defined and solved. In this case, a matrix polynomial compensation is applied to the plant to achieve complete reliability against arbitrary sensor/actuator/controller failure.
KeywordsClose Loop System Open Loop Step Response Reliable Control Nominal Plant
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