In this work, a novel strategy for the inverse optimal control of a class of affine nonlinear systems is proposed. The proposed strategy involves translation of the infinite horizon nonlinear optimal control problem into a Diagonal stability problem, followed by the formulation of a set of criteria for the synthesis of a stabilizing feedback control law. Hence, the proposed controller design methodology is refered to as inverse optimal control via diagonal stabilization. Besides providing a closed-form solution, the methodology also possesses the added advantage of inherent robustness, on account of adequate stability margins. Most importantly, the methodology ensures an estimate of the associated domain of attraction, which is a highly desirable feature especially in the case of crucial and stringent aerospace applications. The proposed methodology is applied for the re-entry control of a reusable launch vehicle which provides a full envelope optimality-based design philosophy. For this, the control-oriented attitude model based on the three-degree-of-freedom dynamic model is utilized. The resulting control law possess desirable features of guaranteed estimate of stability domain, assured design flexibility, and inherent robustness. Simulation results verify the validity of these theoretically proven facets in terms of the efficacy and robustness of the proposed controller.

在这项工作中，提出了一种新的仿射非线性系统逆最优控制策略。所提出的策略涉及将无限地平线非线性最优控制问题转化为对角稳定性问题，然后为合成稳定的反馈控制定律制定一套标准。因此，所提出的控制器设计方法被称为经由对角线稳定的逆最优控制。除了提供封闭形式的解决方案之外，由于足够的稳定性裕度，该方法还具有固有的鲁棒性的额外优势。最重要的是，该方法可确保对相关的吸引力域进行估算，这是非常可取的功能，尤其是在关键且严格的航空航天应用中。所提出的方法应用于可重复使用的运载火箭的再进入控制，该运载工具提供了基于全包络最优性的设计理念。为此，利用了基于三自由度动态模型的面向控制的姿态模型。由此产生的控制律具有可保证的稳定性域估计值，可确保的设计灵活性和固有的鲁棒性的理想特征。仿真结果证明了所提出控制器的有效性和鲁棒性，这些理论上证明过的方面都是有效的。由此产生的控制律具有可保证的稳定性域估计值，可确保的设计灵活性和固有的鲁棒性的理想特征。仿真结果证明了所提出控制器的有效性和鲁棒性，这些理论上证明过的方面都是有效的。由此产生的控制律具有可保证的稳定性域估计值，可确保的设计灵活性和固有的鲁棒性的理想特征。仿真结果证明了所提出控制器的有效性和鲁棒性，这些理论上证明过的方面都是有效的。