A descriptor-system approach to singular perturbation of linear regulators
From MaRDI portal
Publication:3786346
DOI10.1109/9.192192zbMath0643.93030OpenAlexW2144214478MaRDI QIDQ3786346
Zhong-Jun Zhang, Yue-Yun Wang, Song-Jiao Shi
Publication date: 1988
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/9.192192
decompositiondescriptor systemsingularly perturbed systemtime-invariantlinear quadratic regulator problem
Linear systems in control theory (93C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Decomposition methods (49M27) Singular perturbations for ordinary differential equations (34E15)
Related Items
Minimal order realization with a special coordinate for matrix fraction descriptions ⋮ Complete decomposition of sub-optimal regulators for singularly perturbed systems ⋮ Optimal control of stochastic singular affine systems with Markovian jumps ⋮ Linear feedback closed-loop Stackelberg strategies for descriptor systems with multilevel hierarchy ⋮ H-infinity control with an alpha-stability constraint: a descriptor system approach ⋮ A new result on state feedback robust stabilization for discrete-time fuzzy singularly perturbed systems ⋮ \(H_\infty\) control for singularly perturbed systems ⋮ New method for composite optimal control of singularly perturbed systems ⋮ Linear quadratic Pareto optimal control problem of stochastic singular systems ⋮ Memoryless \(H_\infty\) controller for singular systems with delayed state and control ⋮ A descriptor system approach to nonlinear singularly perturbed optimal control problem. ⋮ A descriptor-system approach for finite-frequency \(H_{\infty}\) control of singularly perturbed systems ⋮ The linear-quadratic optimal regulator for continuous-time descriptor systems: a dynamic programming approach ⋮ THE LINEAR QUADRATIC DYNAMIC GAME FOR DISCRETE-TIME DESCRIPTOR SYSTEMS ⋮ Realization algorithm for constructing a controllable representation of a singular system with a special coordinate ⋮ Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem ⋮ Near-optimal control for a singularly perturbed linear stochastic singular system with Markovian jumping parameters ⋮ Near-optimal control of nonstandard singularly perturbed systems ⋮ Two-person two-criteria decision making problems for descriptor systems