Disturbance Observer Control for Stable High-Precision Positioning
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Solution Overview
Problem
Conventional control systems for high-precision position/velocity control are unstable and sensitive to manufacturing errors, leading to performance degradation due to external disturbances and uncertainties in the manufacturing process.
Innovation Solution
A robust optimal disturbance observer system is designed using a controller with first and second weight functions, which stabilize the system by minimizing disturbances and accounting for manufacturing uncertainties through linear matrix inequality optimization.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a conventional trial-and-error method is used to design a controller for high-precision position/velocity control, then the controller can be designed with simple procedures, but the controller is frequently driven unstably because stability is not guaranteed
Solution Approach 1:
The patent transforms the controller design from a trial-and-error parameter tuning approach to a systematic parameter synthesis approach using linear matrix inequalities. By changing the design methodology parameters (from empirical to mathematical optimization), the system achieves guaranteed stability while maintaining design feasibility.
Solution Approach 2:
The patent incorporates stability feedback into the design process itself by using linear matrix inequality conditions that mathematically guarantee stability. This feedback mechanism ensures that any controller designed through this method inherently satisfies stability requirements, eliminating the instability problems of conventional approaches.
2Ease of manufacture
If existing design methods are used, then the design process can be completed with standard procedures, but tolerances in the manufacturing process are not taken into account, requiring precise manufacturing and causing performance to be greatly influenced by errors
Solution Approach 1:
The patent changes the design parameters to include explicit tolerance considerations through linear matrix inequality formulations. This allows the controller to be designed with built-in robustness against manufacturing variations, reducing the stringency of manufacturing precision requirements while maintaining control performance.
Solution Approach 2:
The patent applies beforehand cushioning by designing the controller to anticipate and compensate for manufacturing tolerances and uncertainties before actual manufacturing occurs. The linear matrix inequality framework pre-cushions the system against potential errors, making the control system robust without requiring ultra-precise manufacturing.
3Ease of operation
If conventional controllers are used, then the system can operate with standard control mechanisms, but the system is sensitive to external disturbances and manufacturing uncertainties, leading to performance degradation
Solution Approach 1:
The patent modifies the control mechanism parameters through linear matrix inequality optimization to achieve disturbance rejection. By changing the design approach from conventional to LMI-based optimization, the controller gains inherent robustness against external disturbances and uncertainties while maintaining ease of operation.
Solution Approach 2:
The patent implements feedback through the linear matrix inequality design framework that continuously ensures stability and performance bounds are satisfied. This mathematical feedback mechanism guarantees that the controller maintains robust performance against disturbances without requiring complex operational adjustments.
Data Source
AI summary
Disclosed is a system comprising: a plant (P) to be controlled; a controller (C); a first weight function (W1); a second weight function (W2); and a disturbance observer, wherein the first weight function (W1) receives a difference value between a disturbance (w) and an output (uDO) of the disturbance observer as an input value, the second weight function (W2) receives a difference value between the output value of the controller (C) and the output (uDO) of the disturbance observer as an input value, the plant (P) to be controlled receives, as an input value, the sum value of the disturbance (w) and the difference value between the output value of the controller (C) and the output (uDO) of the disturbance observer, and the controller (C) receives an output value of the plant (P) to be controlled as an input value.


