CN110147040B - Flight trajectory and power distribution joint optimization method for energy-carrying transmission of unmanned aerial vehicle - Google Patents
Flight trajectory and power distribution joint optimization method for energy-carrying transmission of unmanned aerial vehicle Download PDFInfo
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Abstract
The invention discloses a flight trajectory and power distribution joint optimization method for energy-carrying transmission of an unmanned aerial vehicle. The method comprises the following steps: modeling the flight path design and power distribution optimization problem of energy-carrying transmission of the unmanned aerial vehicle; modeling an optimization problem of updating the unmanned aerial vehicle transmitting power distribution by fixing the flight path of the unmanned aerial vehicle into a first subproblem; distributing the transmitting power of the fixed unmanned aerial vehicle, and modeling an optimization problem of updating the flight path of the unmanned aerial vehicle into a second subproblem; and performing alternate iterative optimization on the two subproblems, and performing combined optimization on the flight trajectory and the transmission power distribution of the unmanned aerial vehicle by adopting a combined optimization algorithm. The invention can effectively solve the problems that the ground node energy in the Internet of things is limited, wired charging is difficult or impossible to realize, and meanwhile, energy carrying transmission with information receiving requirements is required; can utilize unmanned aerial vehicle's flight characteristic to improve the channel situation, improve ground node and take the energy collection efficiency that can the transmission course at unmanned aerial vehicle to the promotion that can the transmission performance is taken in the acquisition.
Description
Technical Field
The invention relates to the field of communication between the Internet of things and an unmanned aerial vehicle in a wireless communication technology, in particular to a flight trajectory and power distribution joint optimization method for energy-carrying transmission of the unmanned aerial vehicle.
Background
Currently, with the innovation of wireless communication technology, the internet of things system is receiving more and more research attention. On the one hand, the ground internet of things equipment has information instruction requirements to complete the internet of things service lacking in infrastructure. Internet of things devices, on the other hand, are typically energy-limited. Traditionally, wireless terminals are battery-charged, and in order to extend the life of the network, the batteries must be manually replaced or recharged. It is often costly, inconvenient, dangerous (in toxic environments), or even infeasible (such as sensors mounted inside buildings or medical devices implanted in the body).
Emerging drone technology is being used as an innovative approach to complement existing systems of internet of things. Compared with a traditional ground wireless communication network, the unmanned aerial vehicle serving as an air transceiver has many advantages. On the one hand, drones have highly controllable mobility and low cost, and on the other hand, drone auxiliary systems are more flexible and faster in terms of deployment and reconfiguration. Moreover, due to the possibility of having a larger line-of-sight transmission link, there is better channel conditions between the drone and the ground equipment to increase system capacity. In addition, unmanned aerial vehicle can move to thing networking device dynamically to improve the efficiency of information transmission and energy transfer. However, in many practical scenarios, information transmission or energy transfer alone is not sufficient in an internet of things system. Therefore, the simultaneous information and energy transmission technology, namely the energy-carrying transmission technology, has an important application prospect in the internet of things, and the research is hot in recent years.
The research of the unmanned aerial vehicle auxiliary internet of things system is still in a starting stage. Most of the existing research focuses on unmanned aerial vehicles transmitting information to or receiving information from ground internet of things equipment. And in the last few years, some research work for unmanned aerial vehicle-assisted information transmission or energy transmission has emerged, but has not been applied in the scene of the internet of things. On the other hand, although the subject of energy-carrying transmission in wireless networks has been widely studied in recent years, most of the research results are not directly applied to the unmanned aerial vehicle-assisted internet of things system.
Disclosure of Invention
The invention aims to provide a flight trajectory and power distribution combined optimization method for energy-carrying transmission of an unmanned aerial vehicle. The flight trajectory and the power distribution of the energy-carrying transmission of the unmanned aerial vehicle are jointly optimized, the maximum of the minimum energy collected by the ground internet of things equipment is achieved, and the requirement that each ground equipment receives a certain amount of data is met.
The technical solution for realizing the purpose of the invention is as follows:
a flight trajectory and power distribution joint optimization method for energy-carrying transmission of an unmanned aerial vehicle comprises the following steps:
and 2, decomposing the original problem in the step 1 into two sub-problems. Modeling an optimization problem of fixed unmanned aerial vehicle flight trajectory and updating unmanned aerial vehicle transmitting power distribution into a first subproblem; distributing the transmitting power of the fixed unmanned aerial vehicle, and modeling an optimization problem of updating the flight path of the unmanned aerial vehicle into a second subproblem;
and 3, alternately and iteratively optimizing the two sub-problems in the step 2, and performing combined optimization on the flight trajectory and the transmission power distribution of the unmanned aerial vehicle by adopting a combined optimization algorithm.
Further, the model for the flight trajectory design and power distribution problem of the energy-carrying transmission of the unmanned aerial vehicle in the step 1 is as follows,
where E is the lower bound of the smallest of the collected energy among all ground nodes.Is a collection of ground nodes, each nodeHas the coordinates of (x)k,yk0), and w)k=(xk,yk)。Is a set of working hours and is,is a set of time slots, so δ ttT/N is the unit slot length. The height of the unmanned aerial vehicle is H, and the position of the unmanned aerial vehicle in the nth time slot is (x)U[n],yU[n]H), wherein q [ n ]]=(xU[n],yU[n]). Initial position of unmanned aerial vehicle andthe coordinates of the projection of the end position onto the ground are denoted qI=q[0]=(x0,y0) And q isF=q[N]=(xF,yF). The maximum flying speed of the unmanned aerial vehicle is Vmax. The division ratio of each node is the same, wherein the received power of the node ratio rho is sent to the energy collector, and the received power of the node ratio 1-rho is sent to the information receiver. In time T, the total power transmitted to the ground node by the unmanned aerial vehicle is P0. B is the bandwidth of the entire system. Beta is a0Is the channel power gain per unit distance and alpha is the ambient attenuation factor. p is a radical ofk[n]And in the nth time slot, the power transmitted to the kth node by the unmanned aerial vehicle, and the eta is more than or equal to 0 and less than or equal to 1, so that the energy conversion efficiency of each node rectifier is obtained. Sigma2Is the noise power spectral density. In addition, all ground nodes are respectively and simultaneously responsible for the task of receiving information besides energy collection, and the data volume threshold of each node is considered to be gammath。
Further, the problem of fixing the flight path of the unmanned aerial vehicle and updating the transmission power distribution of the unmanned aerial vehicle in the step 2 is modeled as follows,
the above problem can be solved by using an interior point algorithm.
Further, the problem establishment model for allocating the transmission power of the fixed unmanned aerial vehicle and updating the flight path of the unmanned aerial vehicle in the step 2 is as follows,
with first-order Taylor expansion, we get the (i + 1) th iteration given the ith iteration unmanned aerial vehicle trajectoryAndwhereinLower boundary of (1)Andlower bound of (2)Therefore:
let a equal to ρ η β0pk[n]And b ═ H2To obtain:
wherein,
The above problem can be solved by using an interior point algorithm.
Further, the flight trajectory and transmission power allocation joint optimization algorithm of the unmanned aerial vehicle described in step 3 is specifically realized by the following steps:
1. and (5) initializing.
Input variable pk[n]And q [ n ]]Is initialized toAnd q is0[n]The iteration number i is 0 and the error precision epsilon.
2. And (5) performing iterative operation.
In this step, the following operations are performed iteratively in sequence:
(1) fixing q [ n ]]Is qi[n]Solving the subproblem one to obtain an optimized variableOf (2) an optimal solution
(2) FixingIs composed ofSolving the second subproblem to obtain an optimized variable qi[n]Of (2) an optimal solution q*[n];
(3) Update { p [ n ]],q[n]}i+1={p[n],q[n]}*;
3. Output of
Output unmanned aerial vehicle in all time slotsFlight path q [ n ] of unmanned aerial vehicle]And is assigned toTransmitting power p of ground nodek[n]。
Compared with the prior art, the invention has the following advantages:
1. the invention can effectively solve the problems that the ground node energy is limited, the wired charging is difficult or impossible to realize, and meanwhile, the energy-carrying transmission with the information receiving requirement is required;
2. according to the invention, the flight characteristics of the unmanned aerial vehicle can be utilized to improve the channel condition, the ground node energy collection efficiency in the energy-carrying transmission process of the unmanned aerial vehicle is improved, and the energy-carrying transmission performance is improved.
Drawings
Fig. 1 is a flowchart of implementation steps of a flight trajectory and power distribution joint optimization method for energy-carrying transmission of an unmanned aerial vehicle according to the present invention.
FIG. 2 is a schematic diagram of a system model according to an embodiment of the present invention.
Fig. 3 is a schematic diagram of a power division method in an embodiment of the present invention.
FIG. 4 is a graph of algorithm convergence in an embodiment of the present invention.
FIG. 5 is a comparison graph of an optimization algorithm in an embodiment of the present invention.
Fig. 6 is a schematic diagram of the trajectory and speed of the drone of case 1 in the embodiment of the present invention.
Fig. 7 is a schematic diagram of the trajectory and speed of the drone of case 2 in an embodiment of the present invention.
Fig. 8 is a diagram of energy collection and information reception at different thresholds according to an embodiment of the present invention.
Fig. 9 is a graph comparing energy collection and information reception at different power division ratios according to an embodiment of the present invention.
Detailed Description
The invention relates to a joint optimization method for flight path and power distribution of energy-carrying transmission of an unmanned aerial vehicle, which comprises the following steps as shown in figure 1:
and 3, alternately and iteratively optimizing the two sub-problems in the step 2 and the step 3, and performing joint optimization on the flight path and the transmission power distribution of the unmanned aerial vehicle by adopting a joint optimization algorithm.
The invention is implemented as follows:
firstly, according to the model for establishing the flight trajectory design and power distribution problem of the energy-carrying transmission of the unmanned aerial vehicle in the step 1, the model comprises the following steps:
where E is the lower bound of the smallest of the collected energy among all ground nodes.Is a collection of ground nodes, each nodeHas the coordinates of (x)k,yk0), and w)k=(xk,yk)。Is a set of working hours and is,is a set of time slots, sotT/N is the unit slot length. The height of the unmanned plane is H, and the position of the unmanned plane in the nth time slot is (x)U[n],yU[n]H), wherein q]n]=(xU[n],yU[n]). The coordinates of the initial position and the final position of the unmanned aerial vehicle projected to the ground are represented as qI=q[0]=(x0,y0) And q isF=q[N]=(xF,yF). The maximum flying speed of the unmanned aerial vehicle is Vmax. The division ratio of each node is the same, wherein the received power of the node ratio rho is sent to the energy collector, and the received power of the node ratio 1-rho is sent to the information receiver. In time T, the total power transmitted to the ground node by the unmanned aerial vehicle is P0. B is the bandwidth of the entire system. Beta is a beta0Is the channel power gain per unit distance and alpha is the ambient attenuation factor. p is a radical ofk[n]And in the nth time slot, the power transmitted to the kth node by the unmanned aerial vehicle, and the eta is more than or equal to 0 and less than or equal to 1, so that the energy conversion efficiency of each node rectifier is obtained. Sigma2Is the noise power spectral density. Setting the data quantity threshold of each node as gammath。
Secondly, according to the flight track of the fixed unmanned aerial vehicle in the step 2, updating the problem establishment model of the unmanned aerial vehicle transmission power distribution as follows:
the above problem can be solved by using an interior point algorithm.
Thirdly, according to the emission power distribution of the fixed unmanned aerial vehicle in the step 2, the problem establishment model for updating the flight path of the unmanned aerial vehicle is as follows:
wherein,
q in the above formulae (20) and (21)i[n]And q isi+1[n]Is the position of the ith iteration of the slot drone.
The above problem can be solved by using an interior point algorithm.
Fourthly, according to the flight track and emission power distribution joint optimization algorithm of the unmanned aerial vehicle in the step 3, specifically, the method is realized through the following steps:
1. and (5) initializing.
Input variable pk[n]And q [ n ]]Is initialized toAnd q is0[n]The iteration number i is 0 and the error precision epsilon.
2. And (5) performing iterative operation.
In this step, the following operations are iteratively performed in sequence:
(1) fixing q [ n ]]Is qi[n]To find outSolving the subproblem one to obtain an optimized variableOf (2) an optimal solution
(2) FixingIs composed ofSolving the second subproblem to obtain an optimized variable qi[n]Is calculated by the optimal solution q*[n];
(3) Update { p [ n ]],q[n]}i+1={p[n],q[n]}*;
3. Output of
Output unmanned aerial vehicle in all time slotsFlight path q [ n ] of unmanned aerial vehicle]And is assigned toTransmitting power p of ground nodek[n]。
Example (b): one embodiment of the present invention is described below, in which the system simulation uses Matlab software. The following embodiments examine the effectiveness and superiority of the unmanned aerial vehicle flight trajectory and transmission power distribution optimization method for energy-carrying transmission of the unmanned aerial vehicle in the internet of things.
In this embodiment, as shown in fig. 2, the unmanned aerial vehicle flies in the air and carries out energy-carrying transmission to the ground node. In simulation, the random distribution of K-4 ground nodes in the size of 100 multiplied by 100m is considered2Within the square area of (a). Unmanned aerial vehicle's flightThe height H is 10m, and the initial position and the end position of the flight are set to (0,0,10) and (100, 10), respectively. Consider that the sum of the transmit power of the drone is P0The sum of the channel bandwidths is B1 MHz at 1W. Other parameters are set as: t30 s, N60, η 0.5, β0=10-3α -2 and ε -10-4Length of unit slot of deltat0.5 s. The reference track of the unmanned aerial vehicle is the connecting line of the starting point and the ending point. To verify the validity of the algorithm design, two cases were studied:
case 1: the ground nodes are distributed on two sides of the reference track. The reference trajectory is flying at a uniform speed along the path.
Case 2: the ground nodes are distributed on one side of the reference track. As in the reference trace of case 1.
In two cases, the maximum flight speed of the unmanned aerial vehicle is respectively researched to be Vmax10m/s and Vmax20 m/s.
As shown in fig. 4, in case 1 and case 2, as the number of iterations increases, the objective function tends to converge, verifying the convergence of the algorithm. And further, the larger the maximum flying speed of the unmanned aerial vehicle is, the larger the maximum value of the minimum ground node energy collection is. Wherein gamma isth=102Mbits。
As shown in FIG. 5, the performance superiority of the algorithm is verified by comparing the proposed algorithm with two reference algorithms, namely, optimizing only the power and optimizing only the track. The reason is that the unmanned aerial vehicle allocates more power to the ground node under the condition that the channel condition is better.
As shown in fig. 6-1 and 7-1, the drone speed drops to 0m/s at certain times, indicating that the drone is hovering during this period of time. The greater the maximum airspeed of the drone, the longer the drone is hovering. As shown in fig. 6-2 and 7-2, the longer the drone is hovering at a node, the less power it will obtain at that node. And vice versa. In addition, when the drone hovers at any node, the greater the maximum flight speed of the drone, the less power is allocated to the respective node. This reflects the fairness of our design, as the system considers that all nodes get the maximum of the smallest of the energies. It can also be derived that the closer the drone is to the node, the greater the power allocated to the node because the higher the channel gain.
As shown in fig. 8, each node does not receive more data than its upper bound at different thresholds. In case 1, when the threshold is setConstraint C1 in problem (8) will not affect the optimal objective function value and the minimum value of the received information in all nodes. When the threshold is gammathFromIncrease toThe maximum of the minimum of the collected energy among all the nodes is reduced, and the maximum of the minimum of the received information is infinitely close to the upper bound
As shown in fig. 9, at γthOn the basis of 10Mbits, the interval is set to be 0.1, p is adjusted from 0.1 to 0.9, and the flight path and the power distribution trend of the unmanned aerial vehicle are not changed. As the division ratio ρ increases, the more energy collected, the less data amount is received.
Claims (4)
1. A flight trajectory and power distribution joint optimization method for energy-carrying transmission of an unmanned aerial vehicle is characterized by comprising the following steps:
step 1, modeling an optimization problem of flight trajectory design and power distribution of energy-carrying transmission of an unmanned aerial vehicle, wherein the optimization problem comprises an optimization target, an optimization variable and a constraint condition, and specifically comprises the following steps:
wherein E is the intermediate reception of all ground nodesLower bound of the minimum energy;is a set of ground nodes, each node k ∈ having coordinates of (x)k,yk0), and w)k=(xk,yk);Is a set of working hours and is,is a set of time slots, sotT/N is the unit slot length; the height of the unmanned aerial vehicle is H, and the position of the unmanned aerial vehicle in the nth time slot is (x)U[n],yU[n]H), wherein q [ n ]]=(xU[n],yU[n]) (ii) a The coordinates of the initial position and the final position of the unmanned aerial vehicle projected to the ground are represented as qI=q[0]=(x0,y0) And q isF=q[N]=(xF,yF) (ii) a The maximum flying speed of the unmanned aerial vehicle is Vmax(ii) a The division ratio of each node is the same, wherein the received power of the node ratio rho is sent to an energy collector, and the received power of the node ratio 1-rho is sent to an information receiver; in time T, the total power transmitted to the ground node by the unmanned aerial vehicle is P0(ii) a B is the bandwidth of the whole system; beta is a0Is the channel power gain per unit distance, and α is the environmental attenuation factor; p is a radical ofk[n]The power transmitted to the kth node by the unmanned aerial vehicle is the nth time slot, and the eta is more than or equal to 0 and less than or equal to 1, which is the energy conversion efficiency of each node rectifier; sigma2Is the noise power spectral density; setting the data quantity threshold of each node as gammath;
Step 2, decomposing the original problem in the step 1 into two sub-problems; modeling an optimization problem of fixed unmanned aerial vehicle flight trajectory and updating unmanned aerial vehicle transmitting power distribution into a first subproblem; distributing the transmitting power of the fixed unmanned aerial vehicle, and modeling an optimization problem of updating the flight path of the unmanned aerial vehicle into a second subproblem;
and 3, alternately and iteratively optimizing the two sub-problems in the step 2 and the step 3, and performing combined optimization on the flight trajectory and the transmission power distribution of the unmanned aerial vehicle by adopting a combined optimization algorithm.
2. The unmanned aerial vehicle flight trajectory and power distribution joint optimization method according to claim 1, wherein: the problem establishing model for fixing the flight path of the unmanned aerial vehicle and updating the transmission power distribution of the unmanned aerial vehicle in the step 2 is as follows,
the problem is solved by adopting an interior point algorithm.
3. The unmanned aerial vehicle energy-carrying transmission flight trajectory and power distribution joint optimization method according to claim 1, wherein the method comprises the following steps: the problem establishment model for fixing the emission power distribution of the unmanned aerial vehicle and updating the flight path of the unmanned aerial vehicle in the step 2 is as follows,
wherein,
q in the above formulae (5) and (6)i[n]And q isi+1[n]The position of the ith iteration of the unmanned aerial vehicle at the nth time slot is solved by adopting an interior point algorithm.
4. The unmanned aerial vehicle energy-carrying transmission flight trajectory and power distribution joint optimization method according to claim 1, wherein the method comprises the following steps: and 3, performing combined optimization on the flight trajectory and the transmission power distribution of the unmanned aerial vehicle by adopting a combined optimization algorithm, and specifically, realizing the following steps:
5.1 initialization
Input variable pk[n]And q [ n ]]Is initialized toAnd q is0[n]The iteration number i is 0, and the error precision is epsilon;
5.2 iterative operations
In this step, the following operations are iteratively performed in sequence:
(1) fixing q [ n ]]Is qi[n]Solving the subproblem one to obtain an optimized variableOptimal solution of
(2) Fixing the deviceIs composed ofSolving the second subproblem to obtain an optimized variable qi[n]Of (2) an optimal solution q*[n];
(3) Update { p [ n ]],q[n]}i+1={p[n],q[n]}*;
5.3 output
Outputting the flight track q [ n ] of the unmanned aerial vehicle on all the time slots n ∈]And the transmission power p allocated to the kth e ground nodek[n]。
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