Using $\BBH_{2}$-Control Performance Metrics for the Optimal Actuator Location of Distributed Parameter Systems

@article{Morris2015Using,
  title={Using  \$\BBH\_\{2\}\$-Control Performance Metrics for the Optimal Actuator Location of Distributed Parameter Systems},
  author={Kirsten A. Morris and Michael A. Demetriou and Steven D. Yang},
  journal={IEEE Transactions on Automatic Control},
  year={2015},
  volume={60},
  pages={450-462}
}
This paper is concerned with the use of H2-control performance metrics in finding optimal actuator locations for a class of infinite-dimensional systems. Conditions that guarantee convergence of the optimal actuator location for the finite-dimensional representation of the infinite-dimensional system to the optimal actuator location of the original infinite-dimensional system are provided. Minimizing an H2-performance index, parameterized by the possible actuator locations and disturbance… 
View on IEEE
researchgate.net
27 Citations
Background Citations
6
Methods Citations
5

27 Citations

Citation Type

Citation Type

A study of optimal actuator placement for control of diffusion
TLDR
Several different criteria are compared in the context of controlling diffusion on a two-dimensional region and it appears that the optimal location is strongly dependent on diffusivity - optimal locations tend to be in locations of low Diffusivity.
Comparison of actuator placement criteria for control of structures
Optimal Sensor Placement for Observer Design
Optimization of second order spatially distributed systems with multiple interconnected actuator/sensor pairs
Optimal Sensor and Actuator Selection Using Balanced Model Reduction
TLDR
This article exploits balanced model reduction and greedy optimization to efficiently determine sensor and actuator selections that optimize observability and controllability using greedy matrix QR pivoting on the dominant modes of the direct and adjoint balancing transformations.
Optimal Sensor Placement: A Robust Approach
TLDR
This paper addresses the existence of the derivative with respect to the convective part of the solution to the Riccati equation, the well-posedness of the optimization problem, and finalizes with a range of numerical tests.
Boundary dynamic feedback control for a class of semi‐linear distributed parameter systems
The dynamic output feedback control for a class of semi-linear distributed parameter systems with a non-constant (spatially-varying) diffusion rate described by partial differential equations is…
$\gH_2$-OPTIMAL DISTURBANCE REJECTION BY MEASUREMENT FEEDBACK: THE SINGULAR CASE
Abstract: This work concerns a new methodology to solve the H2-optimal disturbance rejection problem by measurement feedback in the singular case: namely, when the plant has no feedthrough terms from…
H2-Optimal Sensor Location
TLDR
This work explains and combined with the sensor placement problem to create the H2-optimal sensor location problem and shows that the optimal sensor location tends to be close to the disturbance location.
Improved control of distributed parameter systems using wireless sensor and actuator networks: An observer-based method*
TLDR
By using Lyapunov stability arguments, the stability for the estimation error system and distributed parameter control system is proved, meanwhile a guidance scheme for each mobile actuator is provided to improve the control performance.
...
...

References

SHOWING 1-10 OF 62 REFERENCES
Using ℍ2-control metrics for the optimal actuator location of infinite-dimensional systems
This paper considers control performance metrics to find the optimal actuator locations for a class of infinite-dimensional systems. By examining the H2 optimal value, parameterized by the candidate…
H∞-Optimal Actuator Location
TLDR
In this paper, H∞-performance with state-feedback is considered, and both the controller and the actuator locations are chosen to minimize the effect of disturbances on the output.
Linear-Quadratic Optimal Actuator Location
  • K. Morris
  • Mathematics
    IEEE Transactions on Automatic Control
  • 2011
TLDR
This paper considers linear quadratic performance in control of vibrations, diffusion and many other problems governed by partial differential equations, and approximations are used in controller design and thus in selection of the actuator locations.
Optimal actuator/sensor location for active noise regulator and tracking control problems
Optimization of an integrated actuator placement and robust control scheme for distributed parameter processes subject to worst-case spatial disturbance distribution
TLDR
Computer issues regarding the robustness measure for placing actuators subject to a "worst-case" disturbance are examined and a numerical example is presented to support the theoretical findings of this work.
Integrated optimal actuator/sensor placement and robust control of uncertain transport-reaction processes
Optimal actuator/sensor placement for linear parabolic PDEs using spatial H2 norm
Integrated Actuator–Sensor Placement and Hybrid Controller Design of Flexible Structures Under Worst Case Spatiotemporal Disturbance Variations
The aim of this study is to propose a methodology for placing actuating devices in flexible structures that, in addition to possible modal controllability and enhanced performance, may also address…
A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial H2 measures
An algorithm for LQ optimal actuator location
TLDR
A subgradient-based optimization scheme which leads to the global solution of the problem is used to optimize actuator locations and is compared with a genetic algorithm, and is observed to be faster and more accurate.
...
...