Controller coefficient truncation using Lyapunov performance certificate

Skaf, Joëlle; Boyd, Stephen

doi:10.1002/rnc.1577

Cited by 5 publications

(3 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second method, on the other hand, does not require the solutions of the differential or difference equations. This is the reason the second method is so useful in practice [10].…”

Section: Lyapunov Stability Analysismentioning

confidence: 98%

Novel Control Method for Overhead Crane's Load Stability

Belunce

Pandolfo

Roozbahani

et al. 2015

Procedia Engineering

View full text Add to dashboard Cite

Nowadays, cranes are widely employed in many fields of the industry and its utilization represents a large financial influence. The investment on cranes, for example, on docks are mainly associated with the time required for the positioning of the cargos. The objective in this experiment was to develop the control of a system to minimize the stabilization time of a load swinging due to crane movement using a controller created from a Lyapunov function. A metal structure was used with a pendulum, attached to a linear motor. After the controller was designed and implemented a series of experiments were done in varied conditions of mass and signal input. The system can be moved at high speed with the joystick and a trigger is pressed to quickly stabilize the pendulum. This, compared to the traditional methods of controlling this payload oscillation has made evident that the control method associated to the use of a joystick can reduce the loading time and also eliminate the need of a highly experienced driver operating the crane.

show abstract

“…The second method, on the other hand, does not require the solutions of the differential or difference equations. This is the reason the second method is so useful in practice [10].…”

Section: Lyapunov Stability Analysismentioning

confidence: 98%

Novel Control Method for Overhead Crane's Load Stability

Belunce

Pandolfo

Roozbahani

et al. 2015

Procedia Engineering

View full text Add to dashboard Cite

show abstract

“…The convergence rate of the estimator in closed-loop should be faster than the convergence of the controller to the setpoint. The convergence of the estimator can be influence by introducing a new coefficient in the Theorem 1, ( [12]), as:…”

Section: B Performancementioning

confidence: 99%

Robust state estimator design for systems with input-induced nonlinearities: An industrial printer case study

Cochior

Bosch

Weiland

2013

2013 17th International Conference on System Theory, Control and Computing (ICSTCC)

View full text Add to dashboard Cite

The research focuses on a state estimation problem for the paper path and heat flow control of industrial printers. The dynamics of industrial printers can be modeled with a system with input-induced nonlinearities. This model of the system switches in time with a parameter vector which is externally triggered. An important issue in the design of the state estimator involves the question as to what extend the stability and the performance of the estimated dynamics are robust against perturbations and uncertainties in the parameters of the system. For this class of systems we propose the design of an estimator based on an affine parameter dependent representation of the system with parametric uncertainties. The performance of the estimator is analyzed and the stability proven based on Lyapunov theory. Simulation examples show the effectiveness of the proposed approach in the presence of several arbitrary switches between modes.

show abstract

“…When using the mentioned methods, significantly limit of load sway is achieved by significantly increasing the time of transients of load moving which reduces the performance of mechanisms. There is a need for the development of such control systems for LTM electric drives the use of which will most effectively limit load sway at high performance of the electric drive and the possibility of flexible mechanisms control using regression methods [3].…”

mentioning

confidence: 99%

Increasing Control’s Efficiency for the Ship's Two-Mass Electric Drive

Budashko¹

2016

Elektroteh. elektromeh.

View full text Add to dashboard Cite

Purpose. For shipboard lifting and transporting machinery (LTM) with AC thyristor electric drives (ED) the problem of minimizing sway through the formation of the special law to change the principle of ED control over the lifting process is solved. Methodology. This goal was achieved through the following objectives: analysis of current studies on the reduction of the negative effects of load fluctuations, fixed on the suspension with variable parameters; determining the criteria to optimize the movement of the lifting mechanism and transfer control laws under which the load fluctuations are reduced; develop the methodology and experimental study of the main characteristics of the mobile model ED lifting mechanism with its load suspended from the perspective of both the parameterization of the control system (CS) as well as elements of ED. For realization of tasks in research methods of mathematical modeling of dynamic processes on the computer, structural methods of control theory, experimental studies in the laboratory setting have been used. Results. Based on analysis of current research can be concluded that the stability of the ED of LTM to the disturbing points provided coincidence zero electric coordinates and speed deviation diametric plane of the vessel from the vertical position. Criteria for optimizing CS used by the ED LTM mathematical description of its dynamics differential equations to the estimated coefficients derived from the functions of state variables. The experimental dependence of dynamic equations of motion of an object under the influence of disturbing forces in the coordinate plane allowed to parameterize characteristic equation to the form, providing the solution to sustainability since the motor shaft of LTM. The functional circuit of CS eliminates the aperiodic components in the control in compliance with the criteria of sustainability and quality of transients by applying all-range regulator coordinate characteristics of forcing overcoming the dead zone and increase electric resistance as the dynamic object. Practical value. Completion of the complex research may find practical application in the ED of ship's LTM, which will improve their performance, decrease between the operating and maintenance simple. References 15, figures 9. На основании теоретических и практических исследований двухмассового электропривода судовой грузовой системы рефрижераторного судна, в работе решена научно-техническая проблема усовершенствования системы управления электроприводом, находящегося под разновекторными возмущениями. Результатом выполненных исследований является объединение уравнений, описывающих перемещения груза механизмом подъема рамки держателя паллет, в систему дифференциальных уравнений с коэффициентами, зависящими от колебаний судна. В теоретической части синтезировано математическую модель электромеханической системы механизма подъема, что позволило исследовать способы минимизации углов раскачивания рамки держателя паллет и временных интервалов, необходимых для стабилизации перемещения гр...

show abstract

Controller coefficient truncation using Lyapunov performance certificate

Cited by 5 publications

References 25 publications

Novel Control Method for Overhead Crane's Load Stability

Novel Control Method for Overhead Crane's Load Stability

Robust state estimator design for systems with input-induced nonlinearities: An industrial printer case study

Increasing Control’s Efficiency for the Ship's Two-Mass Electric Drive

Contact Info

Product

Resources

About