A three state pursuit-evasion differential game with variable speed, nonlinear control and open barrier is studied as a game of kind. A phenomenon of accumulating paths was found. The high accuracy requirements inhere...
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ISBN:
(纸本)3540537872
A three state pursuit-evasion differential game with variable speed, nonlinear control and open barrier is studied as a game of kind. A phenomenon of accumulating paths was found. The high accuracy requirements inherent in the game prevent retrogressive integration of the long optimal paths. An approximation is suggested, based on the characteristic behaviour of the controls and of the adjoints, for suboptimal completion of the game.
A particular incompleteness in radar information is utilized and manipulated in a head-on gunnery duel between two fighter aircraft. It might be possible for one particular aircraft to put out a decoy of himself and b...
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ISBN:
(纸本)3540537872
A particular incompleteness in radar information is utilized and manipulated in a head-on gunnery duel between two fighter aircraft. It might be possible for one particular aircraft to put out a decoy of himself and by this deceive the other one. One aircraft assumes to have an extra degree of freedom to control its aiming and trajectory, whereas the other one does not have this facility. His trajectory is determined by his aiming. Due to the circumstances there are several game formulations. In a couple of this formulations there is a great advantage of having an aircraft with this facility. Still, it might be room for discussions, what sort of game will occur in real life.
In this paper a coplanar pursuit evasion game in the atmosphere opposing a pursuer employing thrust amplitude and angle of attack as control variables, to a maneuvering evader flying with constant velocity is consider...
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ISBN:
(纸本)3540537872
In this paper a coplanar pursuit evasion game in the atmosphere opposing a pursuer employing thrust amplitude and angle of attack as control variables, to a maneuvering evader flying with constant velocity is considered. The aerodynamic forces acting on the pursuer are explicitly modelled as functions of the angle of attack. The pursuer and evader strategies in the boundary of the capture set are determined for the case of a circular target set. Singular arcs both for the pursuer and evader are shown to exist.
A numerical solution for a linear diferential game is presented in this paper. An aircraft landing problem in the presence of wind disturbance is used as an example.
ISBN:
(纸本)3540537872
A numerical solution for a linear diferential game is presented in this paper. An aircraft landing problem in the presence of wind disturbance is used as an example.
Dynamic conflicts exhibit differential game characteristics and their analysis by any method which disregards this feature may turn out to be, by definition, futile. Unfortunately, most realistic conflicts have an int...
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ISBN:
(纸本)3540537872
Dynamic conflicts exhibit differential game characteristics and their analysis by any method which disregards this feature may turn out to be, by definition, futile. Unfortunately, most realistic conflicts have an intricate information structure and a complex hierarchy which don't fit in the classical differential game formulation. Moreover, in many cases even well formulated differential games are not solvable. In the recent years great progress has been make in artificial intelligence techniques, put in evidence by successful applications in Scientific Modeling, Automated Engineering Design Processes as well as for Fuzzy and Intelligent control Systems. This progress has raised hopes that Artificial Intelligence methods can be also of help in solving complex dynamic conflicts. This paper outlines a feasible option which combines Artificial Intelligence techniques with concepts of Differential Game Theory for attaining such an objective. This approach is illustrated by an air combat game example.
It is known that values and optimal pairs of infinite-time quadratic differential games for linear time-invariant systems are given by non-negative solutions of algebraic Riccati equations [11]-[13]. Riccati equations...
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ISBN:
(纸本)3540537872
It is known that values and optimal pairs of infinite-time quadratic differential games for linear time-invariant systems are given by non-negative solutions of algebraic Riccati equations [11]-[13]. Riccati equations of the same type also play an important role in the recent H∞ theory [7] and in the stabilization of uncertain systems [14], [15]. The problem of tracking periodic signals for a time-invariant linear system has been considered by Artstein and Leizarowitz [1]. It is an infinite-time problem and the notion of overtaking optimality is used. We have generalized their results to time-varying systems [9]. Closely related problems are considered in Da Prato and Ichikawa [5], [6]. In this paper we consider infinite-time quadratic differential games for time-varying systems and the differential game version of the tracking problems. In section 2 we study Riccati equations over an infinite horizon and give sufficient conditions for the existence of bounded solutions. We show that bounded stable solutions of Riccati equations give values and optimal pairs of quadratic games. In section 3 we consider the tracking problems and characterize optimal pairs in the overtaking sense. We also consider a special case where ideal inputs and a response to the given signal exist. We then introduce a more natural payoff function and reduce the problem to an infinite-time quadratic game considered in section 2.
Presently a computer based pilot's decision aid is developed for future fighter aircraft. The objective is to increase the probability of success in the case of own attack and to improve the chance of survival in ...
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ISBN:
(纸本)3540537872
Presently a computer based pilot's decision aid is developed for future fighter aircraft. The objective is to increase the probability of success in the case of own attack and to improve the chance of survival in a situation of hostile attack. In the first case the firing range of a missile must be estimated by the onboard computer to pick the right launch time. In the second case the aircraft becomes the target of an adversary missile. Now, a favourable evasive maneuver must be initiated in time and controlled by an autonomous guidance algorithm. For both purposes the pursuit-evasion game concept (Isaacs [8]) applied to the missile/target encounter provides the suitable mathematical framework. The game solution indicates both the firing range of the missile and the optimal evasive maneuver of the target. First, game solutions were obtained for simplified models (e.g. linearized equations of motion (Shinar, Gutman [14]), simplified dynamics in the vertical plane (Guelman et al. [7])) or approximated with the help of singular perturbation technique (Shinar, Gazit [13]). The game solution also shows the optimal missile guidance. If one is only interested in this aspect a one sided optimal control formulation is sufficient. This approach was applied to the complete point mass model in the vertical plane to maximize the missile's range subject to the condition that there remains enough energy for the final pursuit of the target (Kumar et al. [11]). The final pursuit phase itself was not explicitly considered in the study. The optimal trajectories of [11] served as reference flight paths in a closed-loop missile guidance law (Kumar et al. [10]). The intention of the present paper is to resume the differential game approach and to combine it with a dynamic model containing realistic approximations for thrust and drag. The objective is to determine barrier trajectories in the vertical plane under the assumption that complete state and model information is available to each
The main objective of this article is to devise computationally tractable methods for the composition of several process models. Stackelberg solutions are utilized.
ISBN:
(纸本)3540537872
The main objective of this article is to devise computationally tractable methods for the composition of several process models. Stackelberg solutions are utilized.
Aircraft take-off control under conditions of windshear has recently received considerable attention in the control theory literature. Severe windshear may cause difficulties during aircraft take-off;it has been a maj...
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ISBN:
(纸本)3540537872
Aircraft take-off control under conditions of windshear has recently received considerable attention in the control theory literature. Severe windshear may cause difficulties during aircraft take-off;it has been a major cause of at least 30 aircraft accidents during the two last decades. We study the controlled take-off of an aircraft flying through an unavoidable windshear. The purpose of the guidance is to guarantee aircraft take-off without crash;no other performance criteria are applied. The proposed aircraft take-off control scheme consists of a memoryless state feedback control strategy for a class of continuous time aircraft models including unpredictable but bounded windshear. The design of the take-off control scheme is carried out by applying a theory of deterministic control of uncertain systems. The time or the place of encountering a windshear is not known but, according to the basic assumption, the upper bound of the uncertainty, here, the maximum rate of the change of the wind velocity, is assumed to be known;such knowledge allows one to design a deterministic controller to stabilize the relative path inclination of the aircraft.
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