MIMO Model-Free Control Using Different Factors Across Channels
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Solution Overview
Problem
Existing MIMO compact-form model-free control methods with a same-factor structure struggle to achieve ideal control performance in complex, strongly nonlinear MIMO systems with different characteristics between control channels, limiting their applicability and effectiveness.
Innovation Solution
The MIMO different-factor compact-form model-free control method uses distinct penalty factors and step-size factors for each control input, allowing for more precise control by calculating the i-th control input ui(k) as ui(k) = ui(k-1) + ρi * ∑j=1n ϕj,i(k) * ej(k) * λi + Φ(k)^2, where λi and ρi are specific to each control input, enabling better adaptation to diverse system outputs.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If the same-factor structure is used in MIMO compact-form model-free control, then the control method has concise implementation and low computational burden, but it cannot achieve ideal control performance in strongly nonlinear MIMO systems with different characteristics between control channels
Solution Approach 1:
The patent applies local quality by allowing each control input channel to have its own penalty factor λi and step-size factor ρi, rather than using uniform factors for all channels. This enables each channel to be tuned according to its specific characteristics, improving control accuracy for strongly nonlinear MIMO systems while maintaining the simplicity of the compact-form structure.
Solution Approach 2:
The patent changes the parameters from uniform penalty factor λ and step-size factor ρ to channel-specific parameters λi and ρi. This parameter differentiation allows the control method to adapt to different characteristics between control channels, resolving the contradiction between implementation simplicity and control precision.
2Device complexity
If the same-factor structure is used in MIMO compact-form model-free control, then the control scheme is simple, but the method has limited applicability to complex plants with different channel characteristics
Solution Approach 1:
By introducing channel-specific penalty factors λi and step-size factors ρi, the patent enables the control scheme to adapt to local characteristics of different control channels. This increases applicability to complex plants with diverse channel behaviors while keeping the overall control structure relatively simple and maintaining ease of implementation.
3Manufacturing precision
If different penalty factors and step-size factors are used for each control input, then control accuracy and adaptability are improved, but the computational burden and implementation complexity increase
Solution Approach 1:
The patent introduces different penalty factors λi and step-size factors ρi for each control input channel. While this increases parameter differentiation and improves control accuracy, the implementation remains relatively simple as it only requires storing and updating m additional parameter values (where m is the number of control inputs), without fundamentally changing the control algorithm structure.
Data Source
AI summary
The invention discloses a MIMO different-factor compact-form model-free control method. In view of the limitations of the existing MIMO compact-form model-free control method with the same-factor structure, namely, at time k, different control inputs in the control input vector can only use the same values of penalty factor and step-size factor, the invention proposes a MIMO compact-form model-free control method with the different-factor structure, namely, at time k, different control inputs in the control input vector can use different values of penalty factors and/or step-size factors, which can solve control problems of strongly nonlinear MIMO systems with different characteristics between control channels widely existing in complex plants. Compared with the existing control method, the inventive method has higher control accuracy, stronger stability and wider applicability.