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Composite suboptimal control for fuzzy multi-input singularly perturbed systems with unknown slow dynamics
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DOI：10.1016/j.jfranklin.2025.108210.png)
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Abstract
En 中文
In this paper, a composite suboptimal control scheme is investigated for nonlinear multi-input singularly perturbed systems (MISPSs) based on Takagi-Sugeno (T-S) fuzzy model with partially unknown dynamics. The T-S fuzzy model provides a method for linearizing nonlinear systems. Under fuzzy rules, the nonlinear MISPSs are reduced to two subsystems with different time scales. Moreover, the optimal control problem is formulated as two non-zero-sum game (NZSG) subproblems. For fast subsystems with known dynamics, a model-based policy iteration (PI) scheme is proposed. For slow subsystems with completely unknown dynamics, an online game method based on hybrid iteration (HI) is proposed, which has two advantages: 1) No initial stable strategy is required; 2) It has a quadratic convergence speed. Finally, a numerical example is used to verify the effectiveness of the model-free online HI algorithm and the suboptimality of the composite strategy.
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J
IF:
4.2
Papers:
822
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