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This paper presents preliminary results on modeling and control of a quadrotor UAV. With aerodynamic concepts, a mathematical model is firstly proposed to describe the dynamics of the quadrotor UAV. Parameters of this model are identified by experiments with Matlab Identify Toolbox. A group of PID controllers are then designed based on the developed model. To verify the developed model and controllers, simulations and experiments for altitude control, position control and trajectory tracking are carried out. The results show that the quadrotor UAV well follows the referenced commands, which clearly demonstrates the effectiveness of the proposed approach. Keywords—Quadrotor UAV, Modeling, Control, Aerodynamics, System Identification.
Soft pneumatic network (pneu-net) actuators are widely employed for achieving sophisticated motions. However, to produce bending and twisting simultaneously in a single pneu-net actuator is challenging. In this paper we present a programmable design to enable pneu-net actuators to achieve such complex motions. This achievement is mainly owing to tuning a structure parameter, the chamber angle. Through finite element analysis and experimental verification, variation trends of bending and twisting motions with respect to the chamber angle are investigated. Additionally, deformation characteristics of actuators are demonstrated by depicting configurations of actuators and some grasping tests. By adjusting the chamber angle, the motion of pneu-net actuators is explored into 3-D space and becomes more sophisticated and dexterous. This programmable design method guides the design of pneu-net actuators, making them promising candidates for more complicated and advanced applications.
Bellow-shaped soft continuum robots with parallel mechanisms feature an excellent balance between structural stiffness and contact compliance, making them highly promising in various applications. However, their complex structures and nonlinear elastic characteristics pose significant challenges in modeling and control. In this work, we propose a kinetostatic model and a corresponding position-orientation controller for bellow-shaped soft continuum robots. First, bellow-shaped soft actuators are simplified into hyperelastic cylinder soft actuators with mechanical equivalence. In addition, the overall deformation is decoupled into elongation and bending components to enhance computational efficiency. Based on these two simplifying strategies, the kinetostatic model is developed with absolute nodal coordinate formulation theory. Then, forward and inverse kinetostatic mappings are defined, and the numerical solution algorithm is presented. Finally, the developed model is experimentally validated through configuration simulation and feedforward trajectory tracking. Experimental results demonstrate that the developed model achieves low prediction errors, with configuration simulation errors of 3.43%. Furthermore, with the model-based feedforward controller, a two-segment soft continuum robot can accurately follow desired trajectories with specified bending angles, achieving average position and angle errors of 4.14 mm and 1.58<inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^{\circ }$</tex-math></inline-formula>, respectively.
Dielectric elastomers are highly nonlinear actuators with complex dynamic behaviour. As a consequence they are modeled using both viscoelastic and geometric nonlinear elements. Their control is especially challenging due to the dominant hysteresis and creep behavior they exhibit. These nonlinearities also deem their dynamics non-invertible and consequently, their effective control is nontrivial. A novel sliding-mode scheme that approximates the system dynamics locally for small time steps is designed herewith. Simulated closed-loop results are presented to demonstrate the efficacy of the proposed control technique.
This paper presents a novel control scheme for high-bandwidth control of piezoceramic stack actuators (PSAs). For this purpose, we first characterize and compensate for the asymmetric hysteresis nonlinearity of the PSA. A linear integral resonant controller is then designed as a means for damping the resonant modes of the dynamic system with the hysteresis compensation. Finally, a tracking controller and feedforward input are developed to minimize the tracking errors and improve the closed-loop tracking bandwidth. To verify the effectiveness and efficiency of the proposed control scheme, a PSA-actuated positioning platform is built and comparative experiments are conducted. Experimental results demonstrate that the proposed controller achieves robust broadband nanopositioning of the PSA by improving the tracking bandwidth from 22Hz (with an integral controller) to 657Hz.
This paper presents the design and experimental implementation of an inversion-based feedforward controller to achieve accurate tracking and fast scanning for an atomic force microscopy (AFM). The proposed controller reduces the tracking error by inverting the vibration dynamics and the hysteresis of the piezoelectric tube scanner (PTS). The hysteresis is compensated by directly constructing an inverse Prandtl-Ishlinskii model, while the vibration dynamics is suppressed by a zero magnitude error tracking controller. A comparison of the experimental images using the proposed controller and a dc-gain open-loop controller is given. The experimental results demonstrate the effectiveness of the proposed controller.
In this paper, a new type of decoupled 2-DOF translational parallel micro-positioning stage is designed to realize the 2-DOF ultra-precision linear motion. The stage consists of two piezoelectric actuators (PZTs) and a monolithic compliant mechanism. The monolithic compliant mechanism adopts two types of compound double parallel four-leaf flexures and a mirror symmetric structure to reduce the input and output cross coupling and parasitic motion. Based on the stiffness matrix method and screw theory, a mathematical model is constructed to analyze the compliant mechanism. The optimal design is performed in view of performance constraints. The design results show good static and dynamic performances of the stage, which are well validated by the simulation of finite-element-analysis (FEA) and experimental results. The experimental results show that the proposed stage has a full range of 40µm × 40µm when the full voltage(100V) is applied on the two PZTs. Besides, the stage only has the maximum cross coupling of -50dB between the two axes, low enough to utilize single-input-single-out(SISO) control strategies for positioning and tracking.