Construction of reduced order controllers for nonlinear systems with periodic coefficients

DOI10.1177/1077546309356009zbMath1271.93075OpenAlexW2041330750MaRDI QIDQ2846254

Amit P. Gabale, Subhash C. Sinha

Publication date: 5 September 2013

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546309356009

zbMATH Keywords

nonlinear controlinvariant manifoldorder reductionLyapunov-Floquet transformationnonlinear time-periodic systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10)

Related Items

Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: controller design

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Control of time-periodic systems via symbolic computation with application to chaos control
• Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
• SYMBOLIC COMPUTATION OF FUNDAMENTAL SOLUTION MATRICES FOR LINEAR TIME-PERIODIC DYNAMICAL SYSTEMS
• Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds
• On generalized balanced realizations
• Numerical Linear Algebra for Model Reduction in Control and Simulation
• Linear time-variable systems: Balancing and model reduction
• Normal Modes for Non-Linear Vibratory Systems
• Nonlinear modal control method
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]