A classic kind of researches about the operational safety criterion for dynamic systems with barrier function can be roughly summarized as functional relationship,denoted by⊕,between the barrier function and its firs...A classic kind of researches about the operational safety criterion for dynamic systems with barrier function can be roughly summarized as functional relationship,denoted by⊕,between the barrier function and its first derivative for time t,where⊕can be“=”,“<”,or“>”,etc.This article draws on the form of the stable condition expression for finite time stability to formulate a novel kind of relaxed safety judgement criteria called exponential-alpha safety criteria.Moreover,we initially explore to use the control barrier function under exponential-alpha safety criteria to achieve the control for the dynamic system operational safety.In addition,derived from the actual process systems,we propose multi-hypersphere methods which are used to construct barrier functions and improved them for three types of special spatial relationships between the safe state set and the unsafe state set,where both of them can be spatially divided into multiple subsets.And the effectiveness of the proposed safety criteria are demonstrated by simulation examples.展开更多
Safe operation and performance of dams is one of the key issues in permafrost regions. At present, the existing dams are 40–45 years old and they are reaching their design life limit. Intensive geocryological proces...Safe operation and performance of dams is one of the key issues in permafrost regions. At present, the existing dams are 40–45 years old and they are reaching their design life limit. Intensive geocryological processes（thermokarst, thermal erosion, frost heaving, suffosion, concentrated seepage along the voids left by melt ice and others） begin to develop at the early stages of construction. These processes are even more intensive under severe climatic conditions of the permafrost zone due to the large thermal and moisture gradients and the resulting complex thermal stress-strain state in the structures. Determining safety criteria is a critical and difficult task in dam safety management. The existing procedures need to be continuously refined and improved depending on dam importance class. Some researchers recommend introducing process development criteria（stability, destabilization, and extremality） for more objective assessment of dam safety, in addition to the existing two condition criteria. In other words, they call for a multi-factor dam – environment interaction system. A case study of safety declaration for an existing dam is presented.展开更多
基金supported by the National Natural Science Foundation of China(61633005)。
文摘A classic kind of researches about the operational safety criterion for dynamic systems with barrier function can be roughly summarized as functional relationship,denoted by⊕,between the barrier function and its first derivative for time t,where⊕can be“=”,“<”,or“>”,etc.This article draws on the form of the stable condition expression for finite time stability to formulate a novel kind of relaxed safety judgement criteria called exponential-alpha safety criteria.Moreover,we initially explore to use the control barrier function under exponential-alpha safety criteria to achieve the control for the dynamic system operational safety.In addition,derived from the actual process systems,we propose multi-hypersphere methods which are used to construct barrier functions and improved them for three types of special spatial relationships between the safe state set and the unsafe state set,where both of them can be spatially divided into multiple subsets.And the effectiveness of the proposed safety criteria are demonstrated by simulation examples.
文摘Safe operation and performance of dams is one of the key issues in permafrost regions. At present, the existing dams are 40–45 years old and they are reaching their design life limit. Intensive geocryological processes（thermokarst, thermal erosion, frost heaving, suffosion, concentrated seepage along the voids left by melt ice and others） begin to develop at the early stages of construction. These processes are even more intensive under severe climatic conditions of the permafrost zone due to the large thermal and moisture gradients and the resulting complex thermal stress-strain state in the structures. Determining safety criteria is a critical and difficult task in dam safety management. The existing procedures need to be continuously refined and improved depending on dam importance class. Some researchers recommend introducing process development criteria（stability, destabilization, and extremality） for more objective assessment of dam safety, in addition to the existing two condition criteria. In other words, they call for a multi-factor dam – environment interaction system. A case study of safety declaration for an existing dam is presented.
