Reliability-Based Performance Objectives and Probabilistic Robustness in Structural Control Applications

摘要: A reliability-based structural control design approach is presented that optimizes a system explicitly to minimize the probability of failure. Failure interpreted as the system’s state trajectory exiting safe region within given time duration. This bounded by hyperplanes in space, each them corresponding an important response quantity. An efficient approximation discussed for analytical evaluation this probability, and its optimization through feedback control. This analytical facilitates theoretical discussions regarding characteristics reliability-optimal controllers. Versions the controller are described case using nominal model system, well with uncertain parameters. For latter case, knowledge about relative plausibility different possible values parameters quantified through use probability distributions on parameter space. The influence excitation duration feedback control probabilistic treatment suggested. relationship H_2 �i.e., minimum variance� controller synthesis also examined.