ℋ∞and ℋ2guaranteed costs computation for uncertain linear systems

DOI10.1080/00207729708929377zbMath0922.93014OpenAlexW2059581739MaRDI QIDQ4336531

Reinaldo M. Palhares, Ricardo H. C. Takahashi, Pedro L. D. Peres

Publication date: 12 June 1997

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729708929377

zbMATH Keywords

linear matrix inequalitiescomputation of \({\mathcal H}_\infty\) guaranteed costs

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) (H^infty)-control (93B36)

Related Items (16)

Robust output-feedback controller design via local BMI optimization ⋮ \(\mathcal H_{\infty}\) guaranteed cost computation by means of parameter-dependent Lyapunov functions ⋮ ₂guaranteed cost computation by means of parameter dependent Lyapunov functions ⋮ EXPERIMENTAL RESULTS ON CHUA'S CIRCUIT ROBUST SYNCHRONIZATION VIA LMIs ⋮ Dynamic tracking with zero variation and disturbance rejection applied to discrete-time systems ⋮ RobustH_∞performance using lifted polynomial parameter-dependent Lyapunov functions ⋮ An equivalent LMI representation of bounded real Lemma for continuous-time systems ⋮ Robust filtering with guaranteed energy-to-peak performance -- \({\mathcal LMI}\) approach ⋮ Suboptimal model reduction for singular systems ⋮ Robust stability and performance of linear time-varying systems in polytopic domains ⋮ A descriptor system approach to robust H_∞control for linear systems with time-varying uncertainties ⋮ Robust \(\mathcal{H}_\infty\) filter design with pole constraints for discrete-time systems ⋮ Robust \({\mathcal H}_\infty\)-filtering design with pole placement constraint via linear matrix inequalities ⋮ An improved suboptimal model reduction for singular systems ⋮ Robustness evaluation and robust design for proportional-integral-plus control ⋮ Global optimization for the -norm model reduction problem

Cites Work

• An algorithm for the computation of the structured complex stability radius
• \(\mathcal H_ \infty\) guaranteed cost control for uncertain continuous-time linear systems
• A fast algorithm to compute the \(H_{\infty}\)-norm of a transfer function matrix
• A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-norm
• \({\mathcal H}_ 2\) guaranteed cost control for uncertain continuous-time linear systems
• Robust performance of systems with structured uncertainties in state space
• On computing the infinity norm
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
• H/sub ∞/-norm approximation of systems by constant matrices and related results
• Linear Matrix Inequalities in System and Control Theory
• How to control stock markets

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