Near-Optimal Missile Avoidance Trajectories via Receding Horizon Control

Karelahti, Janne; Virtanen, Kai; Raivio, Tuomas

doi:10.2514/6.2006-6312

Cited by 10 publications

(14 citation statements)

References 29 publications

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“…Applications range from aircraft fighter combat, 3,4 or space shuttle reentry, 5 to air traffic management. 6,7 Missile interception has also been subject of such investigations, including optimal control based on binary control modeling 8 or receding horizon optimization approaches.…”

Section: Nomenclature α Kmentioning

confidence: 99%

Real-Time Optimal Gain Scheduling for Nonlinear Dynamic Inversion

Walter

Schlöffel

Fleischmann

et al. 2014

AIAA Guidance, Navigation, and Control Conference

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This paper presents a novel approach to combine trajectory optimization and gain scheduling for a nonlinear dynamic inversion controller, in order to optimize both guidance commands and control response. Therein, the guidance problem is formulated as an optimal control problem that also incorporates inner-loop dynamics based on a nonlinear dynamic inversion control block. At the same time, the gain profile for this control block is incorporated into the optimization problem as additional variables. As a result, the optimization process not only optimizes the required guidance commands based on knowledge of the control response, but also the control response itself. The optimal control problem is transcribed into a nonlinear optimization problem by direct multiple shooting, while the resulting nonlinear program is solved with an sequential quadratic programming method. The optimization procedure is augmented by an ordinary differential equation formulation to obtain the required sensitivity terms, as well as a condensing procedure to decrease the size of the auxiliary quadratic problem within the iterative optimization algorithm. Numerical results are presented that illustrate the feasibility of this approach and that indicate potential benefits.

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Section: Nomenclature α Kmentioning

confidence: 99%

Real-Time Optimal Gain Scheduling for Nonlinear Dynamic Inversion

Walter

Schlöffel

Fleischmann

et al. 2014

AIAA Guidance, Navigation, and Control Conference

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“…The evasion problem, on the other hand, focuses on the evader's strategy to get rid of the chasing, for example, Cliff and Ben-Asher (1989), Karelahti et al (2007), Shinar and Steinberg (1977) and Nahin (2012). Under a given strategy of the pursuer, the goal of the evader is to find the safest strategy by maximizing the capture time or to find an effective strategy with the least fuel cost.…”

Section: I T E R a T U R E R E V I E Wmentioning

confidence: 99%

“…There are two approaches in the literature, direct method and indirect method. The direct method is to reformulate the problem as a nonlinear program by the discretization method, and then solve the nonlinear program directly, for example, Karelahti et al (2007), Ehtamo and Raivio (2001) and Raivio and Ehtamo (2000). The indirect method focuses on identifying optimality conditions for the problem, for example, Cliff and Ben-Asher (1989), Shinar and Steinberg (1977).…”

Section: I T E R a T U R E R E V I E Wmentioning

confidence: 99%

Evasion policies for a vessel being chased by pirate skiffs

Wang

2017

Naval Research Logistics

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Piracy attack is a serious safety problem for maritime transport worldwide. Whilst various strategic actions can be taken, such as rerouting vessels and strengthening navy patrols, this still cannot completely eliminate the possibility of a piracy attack. It is therefore important for a commercial vessel to be equipped with operational solutions in case of piracy attacks. In particular, the choice of a direction for rapidly fleeing is a critical decision for the vessel. In this article, we formulate such a problem as a nonlinear optimal control problem. We consider various policies, such as maintaining a straight direction or making turns, develop algorithms to optimize the policies, and derive conditions under which these policies are effective and safe. Our work can be used as a real‐time decision making tool that enables a vessel master to evaluate different scenarios and quickly make decisions.

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“…With the rapid development of computing, model predictive control(MPC) has become an attractive feedback strategy for controlling constrained systems, not only in refining and petrochemicals where slow dynamics are dominant, but also in aerospace and defence [2,3]. Over the last few years, also academic research of MPC has achieved significant progresses.…”

Section: Introductionmentioning

confidence: 99%

Improved off-line formulation of robust model predictive control for a discrete time incertain system

Qin

Zhang

et al. 2009

2009 International Conference on Mechatronics and Automation

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An improved off-line robust model predictive control (MPC) is presented for a discrete time uncertain dynamic system with input constraints, where the uncertainties that satisfy the so-called norm-bound conditions exist in state matrices and input matrices. The new approach synthesizes the advantage of on-line MPC and off-line MPC. First, off-line, generate a sequence of asymptotically stable invariant ellipsoids one inside another near the origin, and a sequence of explicit control laws corresponded with these invariant ellipsoids. Second, on-line, judge whether the current state is in these ellipsoids. If in, apply off-line the control law corresponded. If out, apply the on-line robust MPC with N-step free control moves. The main advantage of this new approach with respect to other well-known technique is the guaranteed robust stability, the guaranteed performance, and the reduced computation. This makes robust MPC a very attractive control methodology for application to large scale systems and fast processes. The performance of the controller is demonstrated by an example.Index Terms -robust model predictive control, LMI (linear matrices inequities), off-line MPC, invariant ellipsoid

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Near-Optimal Missile Avoidance Trajectories via Receding Horizon Control

Cited by 10 publications

References 29 publications

Real-Time Optimal Gain Scheduling for Nonlinear Dynamic Inversion

Real-Time Optimal Gain Scheduling for Nonlinear Dynamic Inversion

Evasion policies for a vessel being chased by pirate skiffs

Improved off-line formulation of robust model predictive control for a discrete time incertain system

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