2018
DOI: 10.1049/iet-syb.2018.5010
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Biological pest control using a model‐based robust feedback

Abstract: Biological control is the artificial manipulation of natural enemies of a pest for its regulation to densities below a threshold for economic damage. The authors address the biological control of a class of pest population models using a modelbased robust feedback approach. The proposed control framework is based on a recursive cascade control scheme exploiting the chained form of pest population models and the use of virtual inputs. The robust feedback is formulated considering the nonlinear model uncertainti… Show more

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Cited by 19 publications
(16 citation statements)
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“…In this model, pests and their natural enemies are considered as preys and predators, respectively [7], [11], [12], [13]. According to [15], dynamic optimization and feedback control allow the determining of biological control policies based on the mathematical models.…”
Section: Introductionmentioning
confidence: 99%
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“…In this model, pests and their natural enemies are considered as preys and predators, respectively [7], [11], [12], [13]. According to [15], dynamic optimization and feedback control allow the determining of biological control policies based on the mathematical models.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, for higher versatility, it is beneficial to extend the concept of finite-time convergence to the biological pest control so that the policy becomes eligible for usage with multiple pest species using multiple control inputs. Apparently, difficulties in applying the nonlinear controller design for population control represented by the Lotka-Volterra equations depend on control objectives and the appearance of the control inputs [7], [15], [18], [24], [25]. Moreover, designing the controllers for the n-dimensional Lotka-Volterra system, which contains p preys and p predators with p control inputs, is complex since it is a nonlinear multiple-input and multiple-output (MIMO) problem.…”
Section: Introductionmentioning
confidence: 99%
“…Using Lotka-Volterra models brings about significant benefits for the attempts to further conduct the dynamic analysis and to determine control policies for regulating or maintaining pest population to be within the economic injury level (EIL) [4,6,[7][8][9][10][11][12][13][14][15][16][17]. Typically, determination of the biological control policy based on mathematical models can be carried out by using optimal control according to Pontryagin's maximum principle [6,[13][14].…”
Section: Introductionmentioning
confidence: 99%
“…Rafikov et al [13][14] employed the Pontryagin's maximum principle to determine the biological control policy for the ecosystem represented by the n-dimensional Lotka-Volterra model. Alternatively, the nonlinear feedback controller design can be utilized for defining the control policies for predator and prey systems [4,[15][16][17][18]. In [18], Meza et al studied various nonlinear feedback control designs for the one-predator one-prey Lotka-Volterra system.…”
Section: Introductionmentioning
confidence: 99%
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