PlumX Metrics
Embed PlumX Metrics

Data-driven quadratic stabilization and LQR control of LTI systems

Automatica, ISSN: 0005-1098, Vol: 153, Page: 111041
2023
  • 7
    Citations
  • 0
    Usage
  • 5
    Captures
  • 1
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    7
  • Captures
    5
  • Mentions
    1
    • News Mentions
      1
      • 1

Most Recent News

Findings from Northeastern University Reveals New Findings on Information Technology (Data-driven Quadratic Stabilization and Lqr Control of Lti Systems)

2023 JUL 04 (NewsRx) -- By a News Reporter-Staff News Editor at Information Technology Daily -- Research findings on Information Technology are discussed in a

Article Description

In this paper, we propose a framework to solve the data-driven quadratic stabilization (DDQS) and the data-driven linear quadratic regulator (DDLQR) problems for both continuous and discrete-time systems. Given noisy input/state measurements and a few priors, we aim to find a state feedback controller guaranteed to quadratically stabilize all systems compatible with the a-priori information and the experimental data. In principle, finding such a controller is a non-convex robust optimization problem. Our main result shows that, by exploiting duality, the problem can be recast into a convex, albeit infinite-dimensional, functional Linear Program. To address the computational complexity entailed in solving this problem, we show that a sequence of increasingly tight finite dimensional semi-definite relaxations can be obtained using sum-of-squares and Putinar’s Positivstellensatz arguments. Finally, we show that these arguments can also be used to find controllers that minimize a worst-case (over all plants in the consistency set) closed-loop H2 cost. The effectiveness of the proposed algorithm is illustrated through comparisons against existing data-driven methods that handle ℓ∞ bounded noise.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know