基于近最优飞行控制器的逆最优和Theta-D控制

P. P, M. Nandakumar
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摘要

本文的目标是提出一种适用于整个飞行状态的非线性飞行控制策略。传统的控制器在广泛变化的空气动力学场景中表现出固有的性能缺陷,大大提高了控制努力。因此,基于非线性最优性的控制对整个系统的性能至关重要。逆最优控制的主要特征是它保证了相对于后验确定的性能指标的全局渐近稳定性和最优性。逆最优控制(IOC)的基础在于适当的控制李雅普诺夫函数(CLF)的公式,在大多数情况下,它的确定实际上是费力的。然而,对于一类特殊的非线性系统,CLF的确定在一定程度上是系统化的。将6自由度飞机动力学分为两个时间尺度进行仿真研究。外环的慢角动力学采用逆最优控制。采用次优Theta-D控制器对快速内回路进行控制。因此,期望得到的非线性控制系统具有接近最优的控制性能。参与控制律的固有稳定性和鲁棒性将对整个系统做出相同的贡献。仿真结果验证了在性能、最优性、稳定性和鲁棒性方面的所有预期功能。
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Inverse Optimal and Theta-D Control based near Optimal flight controller
The objective of this paper is to present a nonlinear flight control strategy, recommendable for the entire flight regime. Traditional controllers exhibit innate performance deficiencies in the widely varying aerodynamic scenario with substantially elevated control efforts. Therefore nonlinear optimality based control would be vital for the overall system performance. The prime feature of Inverse Optimal Control is that it guarantees asymptotic stability and optimality, globally, with respect to a performance index determined posteriori. The basis of Inverse Optimal control (IOC) rests on the formulation of an appropriate Control Lyapunov Function (CLF), the determination of which is in fact laborious in most cases. However here, the determination of CLF, for a particular class of nonlinear systems, is systematized to some extent. The 6 DOF aircraft dynamics separated into two timescales is considered for simulation study. The slow angular dynamics of the outer loop is controlled via Inverse Optimal Control. A suboptimal Theta-D controller is employed for the control of the fast inner loop. Thus in effect a near optimal control performance is expected of the resultant nonlinear control system. The inherent stability and robustness characteristic of the participating control laws will contribute the same to the overall system. Simulation results verify all the anticipated capabilities in terms of performance, optimality, stability and robustness.
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