1. Sensitivity-based model-free adaptive displacement and velocity control algorithms for unknown single-input multi-output systems with recursive least squares
- Author
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Kwangseok Oh and Jaho Seo
- Subjects
Lyapunov function ,Recursive least squares filter ,Computer science ,Angular displacement ,Mechanical Engineering ,Systems modeling ,Displacement (vector) ,symbols.namesake ,Mechanics of Materials ,Control theory ,Control system ,symbols ,Sensitivity (control systems) ,Gradient descent - Abstract
This study presents sensitivity-based adaptive model-free adaptive displacement and velocity control algorithms for unknown single-input multi-output (SIMO) systems using recursive least squares (RLS) with exponential forgetting. Nonlinearities in real-world systems make predictions of the dynamic behaviors of systems challenging and have a negative influence on the performance of control systems. To address this problem, the sensitivity-based model-free adaptive control algorithm, which does not require a mathematical model of a system, is proposed in this study. In the algorithm, a feedback control law for a SIMO system was designed with multiple adaptive feedback gains. The virtual function that represents the relationship between multiple feedback gains and control errors was also designed to construct an adaptation rule with a linear combination. The coefficients in the virtual function were estimated in real-time using RLS with multiple exponential forgetting factors. By using the estimated coefficients, the adaptation rule for feedback gains with the gradient descent method was designed, which can be automatically adjusted through applying Lyapunov’s direct method. The performance of the proposed model-free adaptive control algorithm was evaluated in an actual DC motor system under angular displacement and velocity tracking control scenarios. Evaluation results show that the designed control algorithm enables the system to track the desired output successfully without system modeling.
- Published
- 2021
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