Simplified controller design for distributed parameter systems using mobile actuator with augmented vehicle dynamics

Demetriou, Michael A.

doi:10.1109/acc.2011.5990823

Cited by 5 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The choice of the stable target system is not unique. For the current application, the standard heat equation with the boundary conditions in (14) was found suitable: (14) It can be shown that this target system is exponentially stable for parameter (see Appendix). And as will be illustrated later, this parameter provides a means for tuning the controller.…”

Section: B Feedback Control Design Using Backsteppingmentioning

confidence: 99%

“…(17) The backstepping design guarantees stability of the closed-loop consisting of (PDE (7) with controls (17) via the selected invertible transformation (15) and stable target system (14). Next, this stabilizing controller designed for PDE (7) is to be applied back to the original PDE (6) using the transformation map (13) to obtain the original control signal…”

Section: B Feedback Control Design Using Backsteppingmentioning

confidence: 99%

“…The structure of the feedback control scheme sought is summarized in Figure 2. Existing approaches for in-domain input control problems like (6) include a) model reduction to a finite number of ODEs to which standard linear control design methods apply [1] or, b) use of mobile actuators [14]. However, the former is subject to approximation errors, while the latter cannot be applied to the depth problem where moving of the actuator across depth is impossible.…”

Section: Problem Statementmentioning

confidence: 99%

“…We define a state transformation along with boundary feedback to bring the unstable PDE (7) to the desired stable form of (14). The suitable state transformation is: (15) Following the approach detailed in [2], by analytically solving the relevant PDEs for the control gain kernel, one can find the control gain kernel to be: (16) Then, the Neumann boundary controller that transforms (7) to (14) is determined by first taking the spatial derivative of (15) and then substituting the corresponding boundary condition at…”

Section: B Feedback Control Design Using Backsteppingmentioning

confidence: 99%

“…Choosing a Lyapunov function candidate: V , taking the derivative, integrating by parts, using PDE and BCs in (14):…”

Section: Appendixmentioning

confidence: 99%

See 4 more Smart Citations

Feedback compensation of the in-domain attenuation of inputs in diffusion processes

Yebi

Ayalew

2013

2013 American Control Conference

View full text Add to dashboard Cite

This paper addresses the problem of compensating for the in-domain attenuation of inputs for a class of process control applications. Specific examples include the challenge of maintaining uniform temperatures or through-cure during thickfilm radiative drying and curing processes in the face of the effective input's variation with film depth due to the so-called Beer-Lambert effect. These distributed parameter control problems are modeled with parabolic PDEs for the diffusion processes along with an in-domain input with a spatial attenuation function. The approach presented in this paper involves transforming the original model to an equivalent boundary input problem to which existing output feedback backstepping boundary control design methods can be applied. The resulting compensation scheme includes a mechanism for tuning the closed-loop performance. The performance of this scheme is compared with a controller designed via modal approximation of the PDE.

show abstract

Section: B Feedback Control Design Using Backsteppingmentioning

confidence: 99%

Section: B Feedback Control Design Using Backsteppingmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%

Section: B Feedback Control Design Using Backsteppingmentioning

confidence: 99%

“…Choosing a Lyapunov function candidate: V , taking the derivative, integrating by parts, using PDE and BCs in (14):…”

Section: Appendixmentioning

confidence: 99%

See 3 more Smart Citations

Feedback compensation of the in-domain attenuation of inputs in diffusion processes

Yebi

Ayalew

2013

2013 American Control Conference

View full text Add to dashboard Cite

show abstract

Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor–actuator networks

2017

View full text Add to dashboard Cite

A guidance policy for controller performance enhancement utilizing mobile sensor-actuator networks (MSANs) is proposed for a class of distributed parameter systems (DPSs), which are governed by diffusion partial differential equations (PDEs) with time-dependent spatial domains. Several sufficient conditions for controller performance enhancement are presented. First, the infinite dimensional operator theory is used to derive an abstract evolution equation of the systems under some rational assumptions on the operators, and a static output feedback controller is designed to control the spatial process. Then, based on Lyapunov stability arguments, guidance policies for collocated and non-collocated MSANs are provided to enhance the performance of the proposed controller, which show that the time-dependent characteristic of the spatial domains can significantly affect the design of the mobile scheme. Finally, a simulation example illustrates the effectiveness of the proposed policy.

show abstract

Guidance of a moving sensor for the control of diffusion PDEs based on on-line approximations of feedback kernels

Demetriou

2012

2012 American Control Conference (ACC)

View full text Add to dashboard Cite

The use of mobile or scanning sensing and actuating devices in the control of distributed parameter systems has been established as an effective means of improving controller performance and enhancing robustness against spatiotemporally varying disturbances. In earlier attempts, the computational requirements for implementing control laws with mobile actuators and sensors was circumvented by algorithmic simplifications of the controller design. To further examine the algorithmic simplifications for implementing a controller with moving actuator and sensor, this work considers the use of feedback kernels for providing the location of the sensor and value of the corresponding static output feedback gain. For a prescribed actuator location, the corresponding full state feedback kernel is computed and instead of feeding it into a state estimator, the proposed scheme replaces the full state feedback by static output feedback with time varying gain and time varying sensor location. The sensor location is found as the location of the maximum of the feedback kernel and the value of the feedback gain is given by the maximum value of the feedback kernel. The resulting controller utilizes a moving sensor with a time varying state output feedback gain to replace a full state feedback controller with state estimator. Two different algorithms are considered; one where the motion of the actuating devices is a priori defined and in another one in which the location of the actuator is changed at discrete time intervals. Numerical studies of a 1D diffusion equation are included to illustrate both algorithms.

show abstract

Simplified controller design for distributed parameter systems using mobile actuator with augmented vehicle dynamics

Cited by 5 publications

References 28 publications

Feedback compensation of the in-domain attenuation of inputs in diffusion processes

Feedback compensation of the in-domain attenuation of inputs in diffusion processes

Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor–actuator networks

Guidance of a moving sensor for the control of diffusion PDEs based on on-line approximations of feedback kernels

Contact Info

Product

Resources

About