Optimal pole shifting for continuous multivariable linear systems

DOI10.1080/0020718508961157zbMath0561.93026OpenAlexW2099904812MaRDI QIDQ5187153

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Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020718508961157

zbMATH Keywords

quadratic performance indexlinear matrix Lyapunov equationopen-loop polesmirror-image property

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Model systems in control theory (93C99)

Related Items (15)

On the design of an optimal automatic generation controller for interconnected power systems ⋮ Optimal pole placement with prescribed eigenvalues for continuous systems ⋮ Sequential design of linear quadratic state regulators with prescribed eigenvalues and specified relative stability ⋮ Relation between pole-placement and linear quadratic regulator for discrete-time systems ⋮ Optimal pole shifting for discrete multivariable systems ⋮ Linear quadratic regulators with eigenvalue placement in a specified region ⋮ Pole placement in non connected regions for descriptor models ⋮ Optimal pole assignment of linear systems by the Sylvester matrix equations ⋮ Semiglobal stabilization of saturated linear systems via multiple parametric Lyapunov equations ⋮ Pole placement in a union of regions with prespecified subregion allocation ⋮ An algorithm for minimizing the norm of state feedback controllers in eigenvalue assignment ⋮ Robustness of D-stability for discrete large-scale uncertain systems ⋮ Design of Sliding Mode Controller with Actuator Saturation ⋮ Linear quadratic regulators with eigenvalue placement in a horizontal strip ⋮ Optimal linear regulator pole-placement by weight selection

Cites Work

• Unnamed Item
• The time-invariant linear-quadratic optimal control problem
• Robustness of suboptimal control: Gain and phase margin
• Robustness results in linear-quadratic Gaussian based multivariable control designs
• Gain and phase margin for multiloop LQG regulators
• Optimal closed-loop poles assignment
• Optimization of linear multivariable systems with prespecified closed-loop eigenvalues
• Design of optimal control systems with prescribed eigenvalues†
• Derivation of weighting matrices towards satisfying eigenvalue requirements

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