2020 IEEE 17th India Council International Conference (INDICON) 2020
DOI: 10.1109/indicon49873.2020.9342485
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A Comparative Study Between a Classical and Optimal Controller for a Quadrotor

Abstract: This paper presents a simulation-based comparison between the two controllers, ProportionalIntegral Derivative (PID), a classical controller and Linear Quadratic Regulator (LQR), an optimal controller, for a linearized quadrotor model. To simplify an otherwise complicated dynamic model of a quadrotor, we derive a linear mathematical model using Newtonian and Euler's laws and applying basic principles of physics. This derivation gives the equations that govern the motion of a quadrotor, both concerning the body… Show more

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Cited by 13 publications
(5 citation statements)
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“…As mentioned before, the quadrotor in the presence of external disturbances. As mentioned before, the MUIR technique is a UIR based control law proposed in [9] and developed in a series of papers (See [20] and [13]), it was originally created for the output regulation of a class of nonlinear minimum phase systems in the case of asymptotically constant references. For the application of MUIR, the only necessary knowledge about the system to be controlled is its relative degree and the sign of the high frequency-gain 𝐿 𝑔 𝐿 𝑓 𝜌−1 ℎ, where 𝐿 denotes the Lie derivative of 𝑓(đ‘„) and 𝑔(đ‘„) nonlinear dynamic functions of the system and ℎ(đ‘„) is the output to be controlled.…”
Section: Controller Designmentioning
confidence: 99%
See 1 more Smart Citation
“…As mentioned before, the quadrotor in the presence of external disturbances. As mentioned before, the MUIR technique is a UIR based control law proposed in [9] and developed in a series of papers (See [20] and [13]), it was originally created for the output regulation of a class of nonlinear minimum phase systems in the case of asymptotically constant references. For the application of MUIR, the only necessary knowledge about the system to be controlled is its relative degree and the sign of the high frequency-gain 𝐿 𝑔 𝐿 𝑓 𝜌−1 ℎ, where 𝐿 denotes the Lie derivative of 𝑓(đ‘„) and 𝑔(đ‘„) nonlinear dynamic functions of the system and ℎ(đ‘„) is the output to be controlled.…”
Section: Controller Designmentioning
confidence: 99%
“…In the literature it is possible to find linear and non-linear control laws as a solution to the regulation and tracking problems of this type of UAVs [6,7,8]. Linear control techniques have been implemented in several research projects and have proven to be able to regulate the quadrotor system, however, they are only valid while operating close to the operating state, like in [9] or around a predefined equilibrium condition, in which, a linearized dynamic model is built, like in [10]. It is worth to mention that the design of non-linear flight controllers offers a precise and robust control and represent a very important step in the design of fully autonomous vehicles.…”
Section: Introductionmentioning
confidence: 99%
“…Authors in reference [21] did a comparative study between LQR and PID controller's performance on the quadrotor system. First, the authors drive a linear mathematical model of system dynamics by Newton-Euler's approach and then simulate the two designed control techniques under the same initial condition.…”
Section: A Related Workmentioning
confidence: 99%
“…The state-space equations for the attitude, position, and altitude control systems are expressed in Eqs. (6)(7)(8) as follows.…”
Section: Mathematical Model Of Quadcoptermentioning
confidence: 99%