Multi-Objective Control Using Historical Pareto Fronts
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Solution Overview
Problem
Current methods for real-time control of dynamic systems with multiple objectives require frequent recalculation of the Pareto front, leading to high computational workload and time consumption, making them inefficient for continuous optimization.
Innovation Solution
The method involves using past Pareto fronts generated at previous time steps to compute control inputs at current time steps, reducing the need for repeated calculations by estimating similarity between new and past Pareto fronts, and reusing parameters from previous optimizations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the Pareto front is re-determined frequently for dynamic system control, then the optimality of control input is improved, but the computational workload and time consumption increase significantly
Solution Approach 1:
The patent pre-generates multiple Pareto fronts at different time steps before real-time control is needed. When control input is required, the system selects from these pre-computed Pareto fronts based on current system state, avoiding the need to re-determine the Pareto front from scratch during time-critical control operations.
Solution Approach 2:
The patent dynamically selects which pre-generated Pareto front to use based on the current system state and time step. Instead of using a static approach, the system adapts by choosing the most appropriate pre-computed Pareto front that matches current conditions, optimizing both computational efficiency and control quality.
2Reliability
If the Pareto front is re-determined frequently for dynamic system control, then the optimality of control input is improved, but the time consumption increases limiting control speed
Solution Approach 1:
The patent pre-generates multiple Pareto fronts at different time steps before real-time control is needed. When control input is required, the system selects from these pre-computed Pareto fronts based on current system state, avoiding the need to re-determine the Pareto front from scratch during time-critical control operations.
3Extent of automation
If simple mathematical metrics are used to select a single Pareto optimal solution, then the automation level is improved, but the computational resources required for re-determination increase
Solution Approach 1:
The patent pre-generates multiple Pareto fronts at different time steps before real-time control is needed. When control input is required, the system selects from these pre-computed Pareto fronts based on current system state, avoiding the need to re-determine the Pareto front from scratch during time-critical control operations.
Data Source
AI summary
The present invention provides a computer-implemented method for repeatedly computing a control input for a control of a system according to objectives. The method comprises computing, at a current time step, the control input according to the objectives using one or more Pareto fronts that were generated for computing, at one or more respective time steps before the current time step, the control input according to the objectives. The present invention further provides a data processing apparatus comprising means for carrying out the aforementioned method; and a computer-readable medium comprising instructions which, when executed by a computer, cause the computer to carry out the aforementioned method.