2019/01/16 by L. T. Gruyitch, Lyubomir T. Gruyitch, Zoran Bučevac +5 · 5 citations
Computer Science · Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Algorithm #Artificial intelligence #Computer science #Control (management) #Control system #Control theory (sociology) #Distributed Control Multi-Agent Systems #Engineering #Invariant (physics) #Invariant subspace #Linear subspace #Mathematical analysis #Mathematics #Nonlinear system #Pure mathematics #Reachability #Sliding mode control #Stability (learning theory) #Subspace topology #Variable (mathematics) #Variable structure control
paper · doi:10.1080/00207179.2019.1569764
published in International Journal of Control 93(12), 2960-2972 (Taylor & Francis)
openalex publication_date 2019/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
A solution to the problem of structurally variable control synthesis for time-invariant Lurie systems is of both theoretical and engineering significance. A theorem on absolute stability of a set applied to Lurie systems solves the problem. The theorem is basic for proving control algorithms that ensure asymptotic stability of a sliding subspace, or its stability with finite time reachability. The selection of the sliding subspace can be such that the system nonlinearity does not influence the sliding motion. The proposed stabilising control algorithms have been tested applying them to a mathematical system and a real system, DC servo motor.