Sammanfattning

We present a novel class of minimax optimal control problems with positive dynamics, linear objective function and homogeneous constraints. The proposed problem class can be analyzed with dynamic programming and an explicit solution to the Bellman equation can be obtained, revealing that the optimal control policy (among all possible policies) is linear. This policy can in turn be computed through standard value iterations. Moreover, the feedback matrix of the optimal controller inherits the sparsity structure from the constraint matrix of the problem statement. This permits structural controller constraints in the problem design and simplifies the application to large-scale systems. We use a simple example of voltage control in an electric network to illustrate the problem setup.

Originalspråkengelska
Sidor (från-till)3920 - 3925
Antal sidor6
TidskriftIEEE Control Systems Letters
Volym7
Tidigt onlinedatum2023
DOI
StatusPublished - 2023

Ämnesklassifikation (UKÄ)

  • Reglerteknik

Fingeravtryck

Utforska forskningsämnen för ”Minimax Linear Optimal Control of Positive Systems”. Tillsammans bildar de ett unikt fingeravtryck.

Citera det här