Numerical error bound of optimal control for homogeneous linear systems

• Autorzy: Daraghmeh Adnan , Qatanani Naji

Identyfikatory

DOI

10.24425/acs.2019.129385

• Języki publikacji: EN

Abstrakty

EN

In this article we focus on the balanced truncation linear quadratic regulator (LQR) with constrained states and inputs. For closed-loop, we want to use the LQR to find an optimal control that minimizes the objective function which called "the quadratic cost function” with respect to the constraints on the states and the control input. In order to do that we have used formal asymptotes for the Pontryagin maximum principle (PMP) and we introduce an approach using the so called The Hamiltonian Function and the underlying algebraic Riccati equation. The theoretical results are validated numerically to show that the model order reduction based on open-loop balancing can also give good closed-loop performance.

Słowa kluczowe

EN

time-invariant systems; quadratic cost function; linear quadratic regulator; algebraic Riccati equation; Hamiltonian function; L2 norm

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2019
• Tom: Vol. 29, No. 2
• Strony: 323--337
• Opis fizyczny: Bibliogr. 25 poz., rys., tab., wzory

Twórcy

autor

Daraghmeh Adnan

• Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

autor

Qatanani Naji

• Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

Bibliografia

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Uwagi

EN

1. The financial support of the Palestinian Ministry of Higher Education to undertake this work under grant number ANNU-MoHE-1819-Sco14 is highly acknowledged.

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).