H\(_{2}\) performance of continuous-time periodically time-varying controllers

DOI10.1016/S0167-6911(97)00078-9zbMath0902.93045OpenAlexW2017754882MaRDI QIDQ1128434

Jingxin Zhang, Zhang, Cishen

Publication date: 13 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(97)00078-9

zbMATH Keywords

linear systemstime-varying systemstransfer functioncontinuous-time periodic controllersfrequency-response methodsH\(_{2}\) control

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Model systems in control theory (93C99)

Related Items

\(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators ⋮ Transfer matrices and statistical analysis of sampled-data systems with continuous periodic processes ⋮ Transfer matrices and advanced statistical analysis of digital controlled continuous-time periodic processes with delay ⋮ Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations ⋮ Pointwise frequency responses framework for stability analysis in periodically time-varying systems ⋮ Statistical analysis of stable FDLCP systems by parametric transfer matrices ⋮ Using the Fredholm resolvent for computing the ℋ₂-norm of linear periodic systems ⋮ Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation ⋮ H₂-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation

Cites Work

• Linear time-varying \({\mathcal H}_ 2\)-optimal control of sampled-data systems
• A dual rate digital compensator for zero assignment
• Linear periodic control: A frequency domain viewpoint
• The \({\mathcal H}^ 2\) problem for sampled-data systems
• A multirate digital controller for model matching
• Analysis of \(H_ 2\) and \(H_ \infty\) performance of discrete periodically time-varying controllers
• Robust control of linear time-invariant plants using periodic compensation
• Control of linear systems using generalized sampled-data hold functions
• Vibrational feedback control: Zeros placement capabilities
• Time-varying feedback laws for decentralized control
• Time-varying versus time-invariant compensation for rejection of persistent bounded disturbances and robust stabilization
• Analysis of time-varying control strategies for optimal disturbance rejection and robustness
• Simultaneous stabilization using an LTI compensator with a sampler and hold
• Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case
• FR-operator approach to the H/sub 2/ analysis and synthesis of sampled-data systems