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This paper presents a receding horizon (RH) controller used for regulating a nonholonomic mobile robot. The RH control stability is guaranteed by adding a terminal-state penalty to the cost function and a terminal-state region to optimization constraints. A suboptimal solution to the optimization problem is sufficient to achieve stability. A new terminal-state penalty and its corresponding terminal-state constraints are found. Implementation and simulation results are provided to verify the proposed control strategy.
Gu et al. (Mon,) studied this question.