Model Tracking Control of Hamiltonian Systems

1989 ◽  
Vol 111 (4) ◽  
pp. 656-660 ◽  
Author(s):  
H. Flashner ◽  
J. M. Skowronski
Keyword(s):  
Tracking Control ◽  
Cartesian Product ◽  
Large Angle ◽  
Control Law ◽  
Simulation Studies ◽  
Control Laws ◽  
New Approach ◽  
Finite Time Horizon ◽  
Plant Simulation ◽  
Two Degree Of Freedom

A new approach is presented for deriving control laws for dynamic systems that can be formulated by Hamilton’s canonical equations. The approach uses the complete nonlinear equations of the system without requiring linearization. It is shown that the error equations, between the system and a Hamiltonian model to be followed, can be described by Hamilton’s canonical equations. Using the concept of diagonal set in the cartesian product of the system and the model states, a control law is derived using the Liapunov stability approach. The resulting control law allows tracking within a stipulated precision, and also with a finite time horizon. To demonstrate the method, a control law is derived for a two degree of freedom manipulator, designed to follow a linear plant. Simulation studies show fast convergence of the state error for a large angle motion maneuver.

Backward Path Tracking of Mobile Robot with Two Trailers

2014 ◽  
Vol 716-717 ◽  
pp. 1512-1517
Author(s):  
Yu Ma ◽  
Yong Zhang ◽  
Jin Cheng ◽  
Qin Jun Zhao
Keyword(s):  
Mobile Robot ◽  
Tracking Control ◽  
Path Tracking ◽  
Control Law ◽  
Control Laws ◽  
New Approach ◽  
Smooth Control ◽  
The Social ◽  
Continuous Progress ◽  
Nonlinear Smooth

With the social development and the continuous progress of science and technology, the mobile robots can greatly improve efficiency, reduce costs, many of these applications can be attributed to the backward path tracking control problem. A controller for backward path tracking of mobile robot with two trailers is addressed in this paper. The paper presents a new approach to stabilizing the system in backward motion by controlling the orientation angles of the two trailers. Nonlinear smooth control laws for orientations of the trailers with asymptotic stability in backward motion are then proposed. The result simulated in Simulink illustrates the effectiveness of the control law and the controller.

Tracking Control of Robot Manipulators Using a Robust Deterministic Control Law

1998 ◽  
Vol 120 (4) ◽  
pp. 537-541 ◽  
Author(s):  
C.-G. Kang ◽  
R. Horowitz ◽  
G. Leitmann
Keyword(s):  
Dynamic Systems ◽  
Tracking Control ◽  
Robot Manipulators ◽  
Experimental Studies ◽  
Control Law ◽  
Direct Drive ◽  
Control Scheme ◽  
Deterministic Control ◽  
Two Degree Of Freedom ◽  
Theoretical Developments

There have been theoretical developments on the control of dynamic systems based on deterministically uncertain and singularly perturbed models in recent years. In this paper, a robust deterministic control scheme proposed originally by M. Corless et al. is modified, and is applied to the tracking control of robot manipulators. Simulation and experimental studies for a two degree of freedom, direct drive SCARA manipulator are conducted to evaluate the effectiveness of the control scheme.

Flight Control Law Using Nonlinear Dynamic Inversion Combined With Quantitative Feedback Theory

1998 ◽  
Vol 120 (2) ◽  
pp. 208-215 ◽  
Author(s):  
S. A. Snell ◽  
P. W. Stout
Keyword(s):  
Flight Control ◽  
High Performance ◽  
Large Angle ◽  
Dynamic Inversion ◽  
Control Law ◽  
Pitching Moment ◽  
Quantitative Feedback Theory ◽  
Control Laws ◽  
Nonlinear Version ◽  
Plant Uncertainty

A method of designing control laws for uncertain nonlinear systems is presented. Dynamic inversion is used to partially linearize the dynamics and then a nonlinear version of quantitative feedback theory (QFT) is applied to the resulting system which assures robustness to plant uncertainty. The design yields good performance with low bandwidth. An application to the design of flight control laws for a high performance aircraft is presented. The control laws demonstrate good performance by accurately following large angle of attack commands at flight speeds ranging from 53 to 150 m/s. Robustness is verified by including ±20 percent variations in pitching moment derivatives. The reduced bandwidth compared to a fixed-gain, linear design, leads to greatly reduced actuator transients, which should give improved reliability and longer life for the actuators and associated structure.

scholarly journals Trajectory Tracking Control Design of a Mass-Damping-Spring System with Uncertainty using the Bond Graph Approach

2020 ◽  
Vol 10 (6) ◽  
pp. 6427-6431
Author(s):  
I. Dif ◽  
A. Kouzou ◽  
K. Benmahammed ◽  
A. Hafaifa
Keyword(s):  
Trajectory Tracking ◽  
Control Strategy ◽  
Tracking Control ◽  
Bond Graph ◽  
Control Law ◽  
Trajectory Tracking Control ◽  
Control Laws ◽  
Spring System ◽  
Mechanical Mass ◽  
Mass Spring

This paper deals with the simulation, and design of a trajectory-tracking control law for a physical system under parameter uncertainty modeled by a bond graph. This control strategy is based on the inversion of the system through their causal Input/Output (I/O) path using the principle of bicausality to track the desired trajectory. The proposed control strategy is validated with the use of a simple mechanical mass-spring-damper system. The results show that the bond graph is a very helpful methodology for the design of control laws in the presence of uncertainties. This proposed control can be applied in several applications and can be improved to ensure robust control.

Numerical Approach to Nonlinear Control Design

1996 ◽  
Vol 118 (2) ◽  
pp. 332-337 ◽  
Author(s):  
Mile Ostojic
Keyword(s):  
Tracking Control ◽  
Recurrence Relations ◽  
Control Design ◽  
Numerical Approach ◽  
Control Algorithms ◽  
Control Laws ◽  
New Approach ◽  
Parameter Variations ◽  
Error Dynamics ◽  
Nonlinear Plants

The paper presents a new approach to designing tracking control of uncertain nonlinear plants. The approach is entirely based on numerical methods and corresponding recurrence relations. It results in recursive control laws that resolve plant nonlinearities and compensate all disturbances and parameter variations. Also, it enables a free shaping of the control error dynamics. Control algorithms based on the method of successive substitutions and the Newton’s method are studied in detail. Detailed description of an application and experimental evaluation is included.

scholarly journals Formation Tracking Control and Obstacle Avoidance of Unicycle-Type Robots Guaranteeing Continuous Velocities

Sensors ◽  
2021 ◽  
Vol 21 (13) ◽  
pp. 4374
Author(s):  
Jose Bernardo Martinez ◽  
Hector M. Becerra ◽  
David Gomez-Gutierrez
Keyword(s):  
Obstacle Avoidance ◽  
Tracking Control ◽  
Global Coordinate System ◽  
Avoidance Task ◽  
Time Varying ◽  
Control Laws ◽  
Formation Tracking ◽  
Control Scheme ◽  
First Time ◽  
Hierarchical Scheme

In this paper, we addressed the problem of controlling the position of a group of unicycle-type robots to follow in formation a time-varying reference avoiding obstacles when needed. We propose a kinematic control scheme that, unlike existing methods, is able to simultaneously solve the both tasks involved in the problem, effectively combining control laws devoted to achieve formation tracking and obstacle avoidance. The main contributions of the paper are twofold: first, the advantages of the proposed approach are not all integrated in existing schemes, ours is fully distributed since the formulation is based on consensus including the leader as part of the formation, scalable for a large number of robots, generic to define a desired formation, and it does not require a global coordinate system or a map of the environment. Second, to the authors’ knowledge, it is the first time that a distributed formation tracking control is combined with obstacle avoidance to solve both tasks simultaneously using a hierarchical scheme, thus guaranteeing continuous robots velocities in spite of activation/deactivation of the obstacle avoidance task, and stability is proven even in the transition of tasks. The effectiveness of the approach is shown through simulations and experiments with real robots.

Industrial compliant robot bases in interaction tasks: a force tracking algorithm with coupled dynamics compensation

Robotica ◽  
2016 ◽  
Vol 35 (8) ◽  
pp. 1732-1746 ◽  
Author(s):  
Loris Roveda ◽  
Nicola Pedrocchi ◽  
Federico Vicentini ◽  
Lorenzo Molinari Tosatti
Keyword(s):  
Closed Loop ◽  
Control Law ◽  
Light Weight ◽  
Mobile Platforms ◽  
Control Laws ◽  
Assembly Task ◽  
Base Position ◽  
Force Tracking ◽  
Compliant Robot ◽  
Target Force

SUMMARYLight-weight manipulators are used in industrial tasks mounted on mobile platforms to improve flexibility. However, such mountings introduce compliance affecting the tasks. This work deals with such scenarios by designing a controller that also takes into account compliant environments. The controller allows the tracking of a target force using the estimation of the environment stiffness (EKF) and the estimation of the base position (KF), compensating the robot base deformation. The closed-loop stability has been analyzed. Observers and the control law have been validated in experiments. An assembly task is considered with a standard industrial non-actuated mobile platform. Control laws with and without base compensation are compared.

Conditional integrator sliding mode control of an unmanned quadrotor helicopter

2021 ◽  
pp. 095965182110498
Author(s):  
Yohan Díaz-Méndez ◽  
Leandro Diniz de Jesus ◽  
Marcelo Santiago de Sousa ◽  
Sebastião Simões Cunha ◽  
Alexandre Brandão Ramos
Keyword(s):  
Sliding Mode Control ◽  
Transient Response ◽  
Tracking Control ◽  
Position Control ◽  
Sliding Mode ◽  
Control Technique ◽  
Control Law ◽  
Control Problems ◽  
Control Activity ◽  
Mode Control

Sliding mode control (SMC) is a widely used control law for quadrotor regulation and tracking control problems. The purpose of this article is to solve the tracking problem of quadrotors using a relatively novel nonlinear control law based on SMC that makes use of a conditional integrator. It is demonstrated by a motivation example that the proposed control law can improve the transient response and chattering shortcomings of the previous approaches of similar SMC based controllers. The adopted Newton–Euler model of quadrotor dynamics and controller design is treated separately in two subsystems: attitude and position control loops. The stability of the control technique is demonstrated by Lyapunov’s analysis and the effectiveness and performance of the proposed method are compared with a similar integral law, also based on SMC, and validated by tracking control problems using numerical simulations. Simulations were developed in the presence of external disturbances in order to evaluate the controller robustness. The effectiveness of the proposed controller was verified by performance indexes, demonstrating less accumulated tracking errors and control activity and improvement in the transient response and disturbance rejection when compared to a conventional integrator sliding mode controller.

Three-Dimensional Curve Tracking for Particles Using Gyroscopic Control

2017 ◽  
Vol 139 (12) ◽  
Author(s):  
Chuanfeng Wang
Keyword(s):  
Tracking Control ◽  
Three Dimensional ◽  
Smooth Curve ◽  
Autonomous Agent ◽  
Control Law ◽  
Steering Control ◽  
3D Space ◽  
Moving Direction ◽  
Tangent Direction ◽  
Curve Tracking

Curve-tracking control is challenging and fundamental in many robotic applications for an autonomous agent to follow a desired path. In this paper, we consider a particle, representing a fully actuated autonomous robot, moving at unit speed under steering control in the three-dimensional (3D) space. We develop a feedback control law that enables the particle to track any smooth curve in the 3D space. Representing the 3D curve in the natural Frenet frame, we construct the control law under which the moving direction of the particle will be aligned with the tangent direction of the desired curve and the distance between the particle and the desired curve will converge to zero. We demonstrate the effectiveness of the proposed 3D curve-tracking control law in simulations.

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