Guidance Laws Based on Optimal Feedback Linearization Pseudocontrol with Time-to-Go Estimation

Guidance laws with input saturation and nonlinear robustH∞observers

“…Inequality (7) guarantees that for any bounded input u(t), the state x(t) will be bounded. Furthermore, as t increases, the state x(t) will be ultimately bounded by a class K function of sup τ A ft 0 ;tg J uðtÞ J , and the system will be uniformly asymptotically stable with a zero input u(t) (usually regarded as a disturbance input).…”

“…However, the target information is usually hard to be estimated if the target maneuver changes rapidly, and more sensors and estimators required may increase the complexity and the cost of guidance law system. With the development of modern control methods, some effective approaches have been employed to design robust guidance laws, including optimal control [5][6][7][8][9], nonlinear geometric method [12], Lyapunov approach [13], adaptive control [14], first-order slidingmode control [15], nonlinear H 1 [16], and finite time control [17,18]. Besides that, to improve the control precision, impact time and impact angle constraints have been taken into account in the design process of a three-dimensional guidance law [8][9][10][11]19,20].…”

Game-Based Safe Aircraft Navigation in the Presence of Energy-Bleeding Coasting Missile

“…Differential-game theory is applied to formulate the navigation problem as a two-team zero-sum game between the navigator and an adversary coalition of the target and the missile. The zeroeffort-feedback (ZEF) technique, originally proposed in [12] for a two-body pursuit-evasion problem, is adapted to simplify the current three-body planar problem formulation into an equivalent secondorder linear system (i.e., considering a major state-dimension reduction), without using any linear approximation of the dynamics. The DEZ concept of [4] is incorporated within a cost function to allow the navigator closing the distance to the target while guaranteeing the navigator's safety.…”

“…As stated earlier, this paper employs the ideas of [4,12]. However, neither [4] nor [12] deal with the three-body problem that is dealt with here.…”

“…However, neither [4] nor [12] deal with the three-body problem that is dealt with here. Solving the safe-navigation problem, which involves three bodies, is the main contribution of this paper.…”