Dynamic Quantum-Assisted Co-Design of Controller and Lyapunov Candidate Parameters for Nonlinear Systems

[2605.04296] Dynamic Quantum-Assisted Co-Design of Controller and Lyapunov Candidate Parameters for Nonlinear Systems Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Electrical Engineering and Systems Science > Systems and Control arXiv:2605.04296 (eess) [Submitted on 5 May 2026 ( v1 ), last revised 14 Aug 2026 (this version, v3)] Title: Dynamic Quantum-Assisted Co-Design of Controller and Lyapunov Candidate Parameters for Nonlinear Systems Authors: Milad Hasanzadeh , Amin Kargarian , Mehdi Farasat View a PDF of the paper titled Dynamic Quantum-Assisted Co-Design of Controller and Lyapunov Candidate Parameters for Nonlinear Systems, by Milad Hasanzadeh and 2 other authors View PDF HTML (experimental) Abstract: This paper proposes a dynamic quantum-assisted co-design framework for nonlinear closed-loop systems in which controller parameters and Lyapunov candidate parameters are redesigned jointly at successive decision epochs. Unlike conventional nonlinear control designs that typically tune controller gains offline and perform stability analysis separately, the proposed method embeds performance improvement and sample-based Lyapunov verification within a unified online optimization loop. The main novelty is a two-step computational structure that first contracts the continuous admissible search region around the current operating condition using a Black-Hole calibration procedure and then constructs a finite binary representation only over this calibrated region. The encoded objective is obtained from sampled nonlinear closed-loop evaluations and approximated by a local quadratic pseudo-Boolean surrogate, enabling an Ising-type Hamiltonian representation suitable for quantum-assisted optimization. Quantum imaginary time evolution is then used to explore the encoded Hamiltonian, and the resulting candidate bitstrings are decoded into continuous controller and Lyapunov parameters. To reduce dependence on the surrogate model, the decoded candidates are re-evaluated using the original nonlinear closed-loop cost and Lyapunov penalties before the final update is applied. The framework can accommodate sampled forms of different Lyapunov decay specifications by modifying the corresponding penalty and is numerically evaluated on first-order nonlinear consensus, second-order nonlinear consensus, and induction motor drive control examples. The implementation code used to generate the reported results is available at \href{ this https URL }{GitHub}. Subjects: Systems and Control (eess.SY) ; Optimization and Control (math.OC) Cite as: arXiv:2605.04296 [eess.SY] (or arXiv:2605.04296v3 [eess.SY] for this version) https://doi.org/10.48550/arXiv.2605.04296 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Milad Hasanzadeh [ view email ] [v1] Tue, 5 May 2026 20:57:50 UTC (6,756 KB) [v2] Sun, 10 May 2026 18:49:23 UTC (10,060 KB) [v3] Fri, 14 Aug 2026 23:38:40 UTC (2,933 KB) Full-text links: Access Paper: View a PDF of the paper titled Dynamic Quantum-Assisted Co-Design of Controller and Lyapunov Candidate Parameters for Nonlinear Systems, by Milad Hasanzadeh and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: eess.SY < prev | next > new | recent | 2026-05 Change to browse by: cs cs.SY eess math math.OC References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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