Differential evolution based 3-D guidance law for a realistic interceptor model

Raghunathan, T.; Ghose, Debasish

doi:10.1016/j.asoc.2013.11.017

Cited by 15 publications

(5 citation statements)

References 30 publications

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“…The proportional navigation (PN) guidance law [1] guarantees interception and has been widely used in theory and practice. Using only the rate of change of LOS angle, it is able to capture the target and is expressed as

{\overset{α}{true}}_{M} = N \dot{λ},

where

N \in [2 6]

is a navigation constant as defined in [10, 48]. A popular variant of the PN law is the pure proportional navigation (PPN) law [49], which is expressed as

a_{M_{P P N}} = N V_{M} \dot{λ} .

The performance of the PPN law was improved by introducing the aspect of time‐energy minimization by adding a polynomial function of heading error and was called the all‐aspect proportional navigation (AAPN) [50] law which is expressed as

a_{M_{A A P N}} false(t false) = N V_{M} \dot{λ} + f false(h false) \times false(V_{M}^{2} / R_{T M} false),

where the polynomial

f

is expressed as

f false(h false) = a h + b h^{2} + c h^{3},

where

a

b

and

c

are coefficients to be tuned in a way that the performance of the guidance law is time‐energy efficient.…”

Section: Proposed Guidance Strategymentioning

confidence: 99%

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Communication constrained robust guidance strategy using quantized artificial time delay based control with input saturation

Banerjee

Amrr

Sarkar

et al. 2021

IET Control Theory & Appl

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This work proposes the use of a logarithmic quantizer to minimize the computational load on the onboard processor of missiles. The quantizer output discretizes the continuous guidance command to a finite set of predefined discrete levels. This in turn puts an end to the need for installing a powerful state of the art modern processor onboard a missile, while enabling designers to install a comparatively cost efficient and compact processor. To include robustness properties, the proposed guidance strategy adopts the artificial time‐delayed control (TDC) philosophy. The use of TDC methodology eliminates the conservative assumptions of a priori knowledge about uncertainty bounds as required by most state‐of‐the‐art robust control schemes. Thus, the proposed guidance law is able to achieve interception even in the presence of uncertainties while significantly reducing control updates due to the use of input quantizer. Input saturation is also considered for the proposed quantized time‐delay control (QTDC) based guidance strategy. The Uniformly Ultimately Bounded (UUB) convergence of the closed‐loop system states is demonstrated through the Lyapunov theory. Simulation studies involving various engagement scenarios and a comparative performance study of the QTDC guidance scheme with the conventional periodic time‐triggered TDC technique are provided to highlight the efficacy of the proposed approach. In this work, a quantized input time delay based control is used to significantly reduce the control updates while designing an efficient robust control strategy. A sense of time‐energy efficiency is introduced for the overall system and input saturation is also considered.

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{\overset{α}{true}}_{M} = N \dot{λ},

where

N \in [2 6]

is a navigation constant as defined in [10, 48]. A popular variant of the PN law is the pure proportional navigation (PPN) law [49], which is expressed as

a_{M_{P P N}} = N V_{M} \dot{λ} .

a_{M_{A A P N}} false(t false) = N V_{M} \dot{λ} + f false(h false) \times false(V_{M}^{2} / R_{T M} false),

where the polynomial

f

is expressed as

f false(h false) = a h + b h^{2} + c h^{3},

where

a

b

and

c

are coefficients to be tuned in a way that the performance of the guidance law is time‐energy efficient.…”

Section: Proposed Guidance Strategymentioning

confidence: 99%

“…The condition (48) dictates the selection criteria for the controller gain Kh . Now, to quantify the convergence bound for the UUB stability of h, a constant parameter 0 < 𝜁 < Kh is introduced in (47) as…”

Section: Boundedness Of System Statesmentioning

confidence: 99%

Communication constrained robust guidance strategy using quantized artificial time delay based control with input saturation

Banerjee

Amrr

Sarkar

et al. 2021

IET Control Theory & Appl

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“…The conflicting requirements discussed above are resolved by defining an objective function which addresses both these concerns. This objective function is made up of the square of control input ( a M ) and the time-weight ( W t ) and is mathematically expressed as (Raghunathan and Ghose, 2010, 2014)…”

Section: Optimal Control Problem Formulationmentioning

confidence: 99%

Time-energy optimal guidance strategy for realistic interceptor using pseudospectral method

Banerjee

Nabi

Raghunathan

2020

Transactions of the Institute of Measurement and Control

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This paper proposes the use of Legendre pseudospectral method (PSM) to obtain the optimal guidance strategy for a two-dimensional interceptor problem. An optimal control problem is formulated that addresses the conflicting objective of minimizing the energy usage, along with minimizing the time taken by missile to capture the target. The PSM-based guidance strategy is compared with other conventional guidance laws such as pure proportional navigation (PPN) guidance law and also evolutionary algorithm inspired differential evolution tuned proportional navigation (DEPN) guidance law. A scheme by which the PSM guidance strategy can be applied online is also included in this paper. The cost function value and the interception time indicates the superiority of the PSM-based guidance strategy.

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“…In [13], the Frenet-Serret formula in classical differential geometry curve theory is used for deriving a 3-D missile-guidance law. The most recent derivation of all-aspect 3-D guidance laws is presented in [14,15]. In [16], an analysis of capturability with augmented pure proportional navigation guidance law from all initial conditions in the plane is performed.…”

Section: Introductionmentioning

confidence: 99%