Upper/lower bounds of generalized \(H_2\) norms in sampled-data systems with convergence rate analysis and discretization viewpoint
From MaRDI portal
Publication:1680663
DOI10.1016/j.sysconle.2017.06.008zbMath1376.93068OpenAlexW2741170428MaRDI QIDQ1680663
Tomomichi Hagiwara, Jung Hoon Kim
Publication date: 16 November 2017
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.06.008
discretizationsampled-data systemsgridding\(L_\infty \backslash L_2\)-induced normoperator-theoretic approach
Linear systems in control theory (93C05) Sampled-data control/observation systems (93C57) Synthesis problems (93B50)
Related Items (6)
Generalized \(\mathcal{H}_2\) control of a linear continuous-discrete system on a finite horizon ⋮ The generalized \(H_2\) controller synthesis problem of sampled-data systems ⋮ Optimal control of maximum output deviations of a linear time-varying system on a finite horizon ⋮ The ℓ∞/p$$ {\ell}_{\infty /p} $$‐gains for discrete‐time observer‐based event‐triggered systems ⋮ Finite-horizon multi-objective generalized \(H_2\) control with transients ⋮ State estimation and stabilization of nonlinear systems with sampled-data control and uncertain disturbances
Cites Work
- Modified fast-sample/fast-hold approximation for sampled-data system analysis
- A lifting technique for linear periodic systems with applications to sampled-data control
- \({\mathcal H}_ 2\) optimal control for sampled-data systems
- Sampled-data control of continuous-time systems with an \(H_ \infty\) optimality criterion
- The \({\mathcal H}^ 2\) problem for sampled-data systems
- Induced convolution operator norms of linear dynamical systems
- The generalized \(H_ 2\) control problem
- \(L_\infty\)-induced norm analysis of sampled-data systems via piecewise constant and linear approximations
- Further results on the L1 analysis of sampled-data systems via kernel approximation approach
- Extensive theoretical/numerical comparative studies on H 2 and generalised H 2 norms in sampled-data systems
- Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
- Convolution and Hankel operator norms for linear systems
- H/sub 2/-optimal sampled-data control
- A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
- A function space approach to sampled data control systems and tracking problems
- Multiobjective output-feedback control via LMI optimization
- ℒ 2 to ℒ∞ gains for sampled-data systems
- FR-operator approach to the H/sub 2/ analysis and synthesis of sampled-data systems
- An LQR weight selection approach to the discrete generalized H2 control problem
This page was built for publication: Upper/lower bounds of generalized \(H_2\) norms in sampled-data systems with convergence rate analysis and discretization viewpoint