Numerical Methods for Optimal Control Problems with State Constraints

Pytlak, R.

doi:10.1007/bfb0097244

Cited by 147 publications

(110 citation statements)

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“…Gradient algorithms were proposed by Kelley [6] and by Bryson and Denham [7]. Pytlak solved a state constrained optimal control problem using a gradient algorithm and applied it for some problems (see [8], [9]). Hargraves and Paris [10] reintroduced the direct transcription approach, by discretising the dynamic equations using a collocation method.…”

Section: Methodsmentioning

confidence: 99%

Trajectory Shaping of Surface-to-Surface Missile With Terminal Impact Angle Constraint

Subchan¹

2010

MST

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This paper presents trajectory shaping of a surface-to-surface missile attacking a fixed with terminal impact angle constraint. The missile must hit the target from above, subject to the missile dynamics and path constraints. The problem is reinterpreted using optimal control theory resulting in the formulation of minimum integrated altitude. The formulation entails nonlinear, two-dimensional missile flight dynamics, boundary conditions and path constraints. The generic shape of optimal trajectory is: level flight, climbing, diving; this combination of the three flight phases is called the bunt manoeuvre. The numerical solution of optimal control problem is solved by a direct collocation method. The computational results is used to reveal the structure of optimal solution which is composed of several arcs, each of which can be identified by the corresponding manoeuvre executed and constraints active.

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Section: Methodsmentioning

confidence: 99%

Trajectory Shaping of Surface-to-Surface Missile With Terminal Impact Angle Constraint

Subchan¹

2010

MST

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“…As well as standard discrete control references such as [32], [26], [25], [37], [8], there are more specialised treatments aimed at specific aspects, e.g. [38], [39], [40], [41]. Frequently they focus on a frequency domain approach or on statistical properties.…”

Section: Relating the Continuous And Discretized Modelsmentioning

confidence: 99%

Simulation and Formal Modelling of Yaw Control in a Drive-by-Wire Application

Banach¹,

Schaik²,

Verhulst³

2015

Annals of Computer Science and Information Systems

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Abstract-Cyberphysical systems, with their interdependence between physical behaviour and digital control, need insights from frequency domain control engineering, state space control engineering and discrete formal systems theory for their proper description. Neglecting any of these, results in descriptions that omit essential details. Hybrid Event-B is a formalism that enables all the relevant detail to be assimilated. A case study based on yaw control for the KURT e-vehicle is used as a testbed to explore the effective interaction between the various needed disciplines in exploring a specific design issue, the formalisation of yaw control discretization, using Hybrid Event-B.

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“…We mainly focus our attention on the application of direct numerical algorithms to the hybrid optimization problem (5). A great amount of works is devoted to the direct or indirect numerical methods for conventional and hybrid OC problems (see e.g., [8,24,25,29] and references therein). Evidently, an OC problem involving ordinary differential equations can be formulated in various ways as an optimization problem in a suitable function space and solved by some standard numerical algorithms (e.g., by applying a first-order methods [3,24]).…”

Section: Optimization Of Control Processes In Hybrid Mechanical Systemsmentioning

confidence: 99%

“…There is a number of results scattered in the literature on numerical methods for optimal control problems. One can find a fairly complete review in [3,4,8,24,25,29]. The main idea of our investigations is to use the variational structure of the solution to the specific two point boundary-value problem for the controllable hybrid-type mechanical systems in the form of Euler-Lagrange or Hamilton equation and to propose a new computational algorithm for the associated OCP.…”

Section: Introductionmentioning

confidence: 99%