Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty
From MaRDI portal
Publication:3722374
DOI10.1109/TAC.1985.1103805zbMath0592.93044OpenAlexW2163124522MaRDI QIDQ3722374
Pramod P. Khargonekar, Allen Tannenbaum
Publication date: 1985
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tac.1985.1103805
Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Asymptotic stability in control theory (93D20) Synthesis problems (93B50) Moment problems and interpolation problems in the complex plane (30E05) Miscellaneous topics of analysis in the complex plane (30E99)
Related Items
Optimal performance and robust stabilization ⋮ A Lie-theoretic setting for the classical interpolation theories ⋮ Identification in \({\mathcal H}_ \infty\) using Pick's interpolation ⋮ A note on robust stabilization for systems with parameters ⋮ Unnamed Item ⋮ Limitations on control system performance. With discussion by O. H. Bosgra, S. Engell and Richard H. Middleton and comments by the author. ⋮ Worst case identification of continuous time systems via interpolation ⋮ Multivariable gain margin ⋮ Controller synthesis for a class of interval plants ⋮ Robust identification and interpolation in H∞ ⋮ An interpolation theory approach to \(H^{\infty}\) controller degree bounds ⋮ Sensitivity integrals for multivariable discrete-time systems ⋮ Adaptive stabilization of a class of time-varying systems with an uncertain delay ⋮ Respect the Unstable: Delays and Saturation in Contact Tracing for Disease Control ⋮ The general distance problem inH∞optimal control theory ⋮ Representations of robustly stabilizing controllers for systems with parameter uncertainty ⋮ Reduction of robust stabilization problems to standard \(H^ \infty\) problems for classes of systems with structured uncertainty ⋮ Design constraints and limits of networked feedback in disturbance attenuation: an information-theoretic analysis ⋮ Implementation-oriented filtered PID control: optimization of robustness margins ⋮ A robust control approach to asymptotic optimality of the heavy ball method for optimization of quadratic functions ⋮ Robust controller design using the Nevanlinna-Pick interpolation in gyro stabilized pod ⋮ Necessary and sufficient condition for modified Nevanlinna-Pick interpolation for closed-loop pole placement ⋮ On a boundary analogue of the Carathéodory-Schur interpolation problem ⋮ Multivariable stability margin optimization: a spectral tangential interpolation approach ⋮ \(H_ \infty\) control problem with j\(\omega\)-axis zeros ⋮ The combined sensitivity and phase margin problem ⋮ Strong stabilization with infinite multivariable gain margin through linear periodic control ⋮ On the strong stabilization and stable \(H^\infty\)-controller design problems for MIMO systems ⋮ Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching ⋮ 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 ⋮ On validating closed-loop behaviour from noisy frequency-response measurements ⋮ Feedback systems with communications: integrated study of signal estimation, sampling, quantization, and feedback robustness ⋮ Modified N-P Interpolation Theory for Closed Loop Pole Placement ⋮ Integral constraints and performance limits on complementary sensitivity: Discrete-time systems ⋮ A survey of extreme point results for robustness of control systems ⋮ Design problems for sensitivity and complementary sensitivity ⋮ \(H_{\infty}\)-suboptimal control problem with boundary constraints ⋮ Gain/phase margin improvement using static generalized sampled-data hold functions ⋮ Some new results on the simultaneous stabilizability of a family of single input, single output systems ⋮ Unnamed Item ⋮ Design of multivariable feedback systems with infinite gain margin and decoupling ⋮ Infinite gain margin problem in multivariable feedback systems ⋮ Robust stabilization of distributed systems ⋮ Gain margin improvement using generalized sampled-data hold function based multirate output compensator
