0
research-article

Loss Optimal Performance of the Finite-Horizon Continuous-Time Linear-Quadratic Controller Driven by a Reduced-Order Observer

[+] Author and Article Information
Verica Radisavljevic-Gajic

Villanova University, Department of Mechanical Engineering, 800 E. Lancaster Ave., Villanova, PA 19085
verica.gajic@villanova.edu

Milos Milanovic

Villanova University, Department of Mechanical Engineering, 800 E. Lancaster Ave., Villanova, PA 19085
mmilano5@villanova.edu

1Corresponding author.

ASME doi:10.1115/1.4038654 History: Received August 20, 2017; Revised November 16, 2017

Abstract

In this paper we derive an expression for loss of optimal performance (comparing to the corresponding LQ optimal performance with the instantaneous full-state feedback) when the continuous-time finite-horizon LQ optimal controller uses the estimates of the state variables obtained via a reduced-order observer. It was shown that the loss of optimal performance value can be found by solving the differential Lyapunov equation whose dimensions are equal to dimensions of the reduced-order observer. A proton exchange membrane fuel cell example is included to demonstrate loss of optimal performance as a function of the final time. It can be seen from the simulation results that the loss of optimal performance value can be very large. The loss of optimal performance value can be drastically reduced by using the proposed least-square formulas for the choice of the reduced-order observer initial conditions.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In