This article investigates the guaranteed cost control (GCC) problem of nonlinear rigid‐body attitude systems subject to control saturation. A novel methodology is proposed, by which the nonlinearities inherent in the attitude dynamics are effectively accounted for and thereby the existence of the proposed controller is cast into linear/bilinear matrix inequality conditions without resorting to model linearization techniques. As a result, the underlying closed‐loop attitude system can be asymptotically stabilized by limited control effort and the defined cost function has an upper bound, by which four optimal GCC methods are further formed to minimize the cost index. Simulation results are provided that fully highlight the properties of the developed methodology in terms of cost guaranteeing and control effort limiting.

中文翻译：

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在控制饱和下保证刚体姿态系统的成本控制

本文研究受控制饱和影响的非线性刚体姿态系统的保证成本控制（GCC）问题。提出了一种新颖的方法，通过该方法可以有效地解决姿态动力学中固有的非线性问题，从而将所提出的控制器的存在转化为线性/双线性矩阵不等式条件，而无需借助模型线性化技术。结果，可以通过有限的控制工作来渐进稳定底层的闭环姿态系统，并且定义的成本函数具有上限，通过该上限，可以进一步形成四种最优的GCC方法以最小化成本指标。提供的仿真结果从成本保证和控制工作量限制方面充分突出了所开发方法的特性。