Some new results on the simultaneous stabilizability of a family of single input, single output systems

DOI10.1016/0167-6911(85)90052-0zbMath0565.93045OpenAlexW2076737489MaRDI QIDQ1059034

Bijoy Kumar Ghosh

Publication date: 1985

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90052-0

zbMATH Keywords

simultaneous stabilizationparameterized family of single input, single output plantssimultaneous pole assignment

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Pole and zero placement problems (93B55)

Related Items (19)

Structured singular values and stability analysis of uncertain polynomials. II: A missing link ⋮ Feedback equivalence and uniform ensemble reachability ⋮ Block bialternate sum and associated stability formulae ⋮ Root locations of an entire polytope of polynomials: It suffices to check the edges ⋮ Frequency response of PID-controlled linear interval systems ⋮ Simultaneous stabilization, tracking, and disturbance rejection of SISO plants ⋮ Computation of open-loop inputs for uniformly ensemble controllable systems ⋮ Robust stability of a class of polynomial families under nonlinearly correlated perturbations ⋮ Simultaneous stabilization using an LTI compensator with a sampler and hold ⋮ Stabilization of polytopes of plants by their vertices ⋮ All constant gain stabilizing controllers for an interval delay system with uncertain parameters ⋮ Stabilization of a linear plant via a stable compensator having no real unstable zeros ⋮ Robust stabilization of interval plants using lead or lag compensators ⋮ A survey of extreme point results for robustness of control systems ⋮ An overview of extremal properties for robust control of interval plants ⋮ Minimum switching control for adaptive tracking ⋮ Simultaneous stabilizability of three linear systems is rationally undecidable ⋮ To stabilize a k real parameter affine family of plants it suffices to simultaneously stabilize \(4^ k\) polynomials ⋮ Controller synthesis via the \(4^ k\)-polynomial approach

Cites Work

• Robust controllers for uncertain linear multivariable systems
• Invariance and system theory: algebraic and geometric aspects
• Convex combinations of stable polynomials
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• A necessary and sufficient condition for the stability of interval matrices
• Robust stabilizability for a class of transfer functions
• Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty
• Feedback stabilization of linear dynamical plants with uncertainty in the gain factor
• Fractional representation, algebraic geometry, and the simultaneous stabilization problem
• Algebraic design techniques for reliable stabilization
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