Enhancements to parameter fitting and passivity enforcement

A system for enforcing passivity of a model of a physical structure, the model of the physical structure comprising a state-space model a system model, and a control model, the system comprising:

• one or more processors;
• and
• non-transitory computer readable media having computer executable instructions stored therein, which when executed by at least one processor cause the system to perform operations comprising:
• receiving in memory the state space model having a passivity violation;
• generating a singular value decomposition model of the state space model, the singular value decomposition model comprising a diagonal matrix of values, wherein at least one values exceed a passivity violation threshold thereby indicating the passivity violation;
• generating a modified diagonal matrix from the diagonal matrix replacing the at least one values with a value that does not exceed the passivity violation threshold;
• generating a modified singular value decomposition model from the singular value decomposition model by replacing the diagonal matrix of the singular value decomposition model with the modified diagonal matrix;
• and
• generating a modified state space model based on the modified singular value decomposition model;
• generating an output matrix iteration and a feed forward matrix iteration by computing a linear least squares approximation of the modified state space model based on the system model and the control model;
• generating a new iteration of the state space model based on the output matrix, the feed forward matrix, the system model, and the control model;
• determining a quality of fit error between the new iteration of the state space model and the state space model;
• and
• when the quality of fit error satisfies a threshold, updating the state space model in memory to include the new iteration of the state space model;
• simulating properties of the physical structure using the updated state space model, wherein the physical structure is built or modified based on the simulated properties.

A non-transitory computer-readable medium encoded with instructions for commanding one or more data processors to execute steps of a method for enforcing passivity of a model of a physical structure, the model of the physical structure comprising a state-space model a system model, and a control model, the method comprising:

• receiving in memory, by a processor coupled to the memory, the state space model having a passivity violation;
• generating, by the processor, a singular value decomposition model of the state space model, the singular value decomposition model comprising a diagonal matrix of values, wherein at least one values exceed a passivity violation threshold thereby indicating the passivity violation;
• generating, by the processor, a modified diagonal matrix from the diagonal matrix replacing the at least one values with a value that does not exceed the passivity violation threshold;
• generating, by the processor, a modified singular value decomposition model from the singular value decomposition model by replacing the diagonal matrix of the singular value decomposition model with the modified diagonal matrix;
• and
• generating, by the processor, a modified state space model based on the modified singular value decomposition model;
• generating, by the processor, an output matrix iteration and a feed forward matrix iteration by computing a linear least squares approximation of the modified state space model based on the system model and the control model;
• generating, by the processor, a new iteration of the state space model based on the output matrix, the feed forward matrix, the system model, and the control model;
• determining a quality of fit error between the new iteration of the state space model and the state space model;
• and
• when the quality of fit error satisfies a threshold, updating the state space model in memory to obtain an updated state space model, by the processor, by replacing the state space model with the new iteration of the state space model;
• and
• simulating electrical properties of the physical structure using the updated state space model, wherein the physical structure is built or modified based on the simulated electrical properties.