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Medientyp:
E-Artikel
Titel:
Sum‐of‐squares‐based policy iteration for suboptimal control of polynomial time‐varying systems
Beteiligte:
Pakkhesal, Sajjad;
Shamaghdari, Saeed
Erschienen:
Wiley, 2022
Erschienen in:
Asian Journal of Control, 24 (2022) 6, Seite 3022-3031
Sprache:
Englisch
DOI:
10.1002/asjc.2689
ISSN:
1561-8625;
1934-6093
Entstehung:
Anmerkungen:
Beschreibung:
AbstractThis paper investigates the suboptimal control design for polynomial time‐varying systems. It is known that the solution to this problem relies on the solution of the Hamilton–Jacobi–Bellman (HJB) equation, which is a nonlinear partial differential equation (PDE). A policy iteration (PI) algorithm is developed to solve the HJB equation. The policy evaluation step of this algorithm consists of a sum‐of‐squares (SOS) program, which is computationally tractable. This algorithm distinguishes from previously known SOS‐based adaptive dynamic programming (ADP) algorithms in that it is developed for time‐varying systems. The convergence of the iterative algorithm and the global stability of the closed‐loop system are proved. At the end, the effectiveness of the proposed algorithm is illustrated through two simulation examples.