Plant Control Equations With Independent Coefficients to Prevent Overshoot
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Solution Overview
Problem
Existing plant control systems face issues with response overshoot and limited freedom in designing response waveforms due to common values of coefficients K1 and K2, leading to inadequate responsiveness and control performance.
Innovation Solution
A plant control system that calculates command values using distinct coefficients K1 and K3, allowing for enhanced responsiveness and freedom in designing response waveforms by using equations (A1) and (A2), which include diagonal matrices K1, K2, K3, K4, and K5, to prevent overshoot and optimize control.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If common values of coefficients K1 and K2 are used in the control equation, then the control structure is simple, but response overshoot occurs
Solution Approach 1:
The patent applies parameter changes by allowing coefficients K1 and K2 to take different values rather than common values. This enables independent optimization of the response characteristics, preventing overshoot while maintaining control simplicity. The control device calculates command values using distinct K1 and K2 parameters in the control equation, directly resolving the overshoot issue without increasing structural complexity.
2Manufacturing precision
If coefficients are adjusted to prevent overshoot, then response accuracy improves, but responsiveness becomes too high
Solution Approach 1:
The patent uses parameter changes to enable independent adjustment of K1 and K2 coefficients, allowing precise control over the response waveform characteristics. By optimizing these parameters separately, the system achieves appropriate responsiveness without excessive speed, balancing accuracy and response time through mathematical parameter optimization rather than structural modification.
3Adaptability or versatility
If distinct coefficients K1 and K3 are used in the control equation, then waveform design freedom increases, but calculation complexity increases
Solution Approach 1:
The patent applies parameter changes by introducing distinct coefficients K1, K2, K3, and K4 that can be independently optimized for different waveform design requirements. Despite the increased number of parameters, the control structure remains computationally efficient as it only requires basic arithmetic operations on these parameters, achieving high waveform design freedom without prohibitive calculation complexity.
Data Source
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AI summary
A plant control system is equipped with a plant (1), an actuator (4) that controls a state of the plant (1) based on a command value, and an arithmetic device (3) that calculates the command value through the use of state information indicating the state of the plant (1) and that outputs the command value to the actuator (4). The arithmetic device (3) adopts, as the command value, a value of u obtained by deleting a time differential of y from equations: dy/dt = f(y, u, d, t) and K4×dy/dt = K3×yref-K1×y+K2×(time integral of (yref-y))+K5.