Publication

Decentralized Nonlinear Model Predictive Control for 3D Formation of Multirotor Micro Aerial Vehicles with Relative Sensing and Estimation

Abstract

In recent years, extensive research is conducted on the coordination and cooperation strategies of multirotor Micro Aerial Vehicles (MAVs) to perform high-level missions such as scientific exploration, search and rescue, intelligence gathering etc. [1], [2]. The main motivator for this interest is the fact that the deployment of multiple vehicles reduces the risk of mission failures and provides higher performance and flexibility through parallelism [3]. Among the main subproblems of cooperative control, formation control is usually an essential component and Model Predictive Control (MPC) is a promising tool to carry out this task deliberately. Since MPC is architecturally flexible and handles the performance and constraints systematically in parallel, it is drawing more attention nowadays [4]. Among MPC methods, especially Nonlinear Model Predictive Control (NMPC) is particularly suitable to control the robots whose fast dynamics are needed to be predicted by nonlinear models and constraints as in multirotor MAVs. Additionally, for large scale systems, Decentralized NMPC (D-NMPC) strategies are advantageous since they address the computational complexity by dividing the overall optimization problem into decoupled subproblems and by reducing communication requirements [4]. Furthermore, in order to deploy highly autonomous multi-rotor MAVs in non-trivial environments, several researchers focus on elaborating local and relative sensing in formation control and try to solve its limitations [5].

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Related concepts (34)
Model predictive control
Model predictive control (MPC) is an advanced method of process control that is used to control a process while satisfying a set of constraints. It has been in use in the process industries in chemical plants and oil refineries since the 1980s. In recent years it has also been used in power system balancing models and in power electronics. Model predictive controllers rely on dynamic models of the process, most often linear empirical models obtained by system identification.
Stochastic control
Stochastic control or stochastic optimal control is a sub field of control theory that deals with the existence of uncertainty either in observations or in the noise that drives the evolution of the system. The system designer assumes, in a Bayesian probability-driven fashion, that random noise with known probability distribution affects the evolution and observation of the state variables. Stochastic control aims to design the time path of the controlled variables that performs the desired control task with minimum cost, somehow defined, despite the presence of this noise.
Computational complexity
In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation time (generally measured by the number of needed elementary operations) and memory storage requirements. The complexity of a problem is the complexity of the best algorithms that allow solving the problem. The study of the complexity of explicitly given algorithms is called analysis of algorithms, while the study of the complexity of problems is called computational complexity theory.
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