Robust state-derivative pole placement LMI-based designs for linear systems

DOI10.1080/00207170801942188zbMath1154.93366OpenAlexW2087857089MaRDI QIDQ3603723

Rodrigo Cardim, Flávio A. Faria, N. A. P. da Silva, Edvaldo Assunção, Marcelo C. M. Teixeira

Publication date: 18 February 2009

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170801942188

zbMATH Keywords

uncertain systemspole placementlinear matrix inequalities (LMI)state-derivative feedbackstructural failures

Mathematics Subject Classification ID

Feedback control (93B52) Linear systems in control theory (93C05) Pole and zero placement problems (93B55)

Related Items (14)

Robust LQR-LMI State-Derivative Controller: A Novel Approach ⋮ Design of an H_∞ gain scheduling state derivative feedback controller for linear parameter-varying systems ⋮ Direct discrete time design of robust state derivative feedback control laws ⋮ Derivative feedback control of nonlinear systems with uncertain equilibrium states and actuator constraints ⋮ Stabilizability and disturbance rejection with state-derivative feedback ⋮ Dynamic tracking with zero variation and disturbance rejection applied to discrete-time systems ⋮ Less conservative control design for linear systems with polytopic uncertainties via state-derivative feedback ⋮ Robust state-derivative feedback LMI-based designs for linear descriptor systems ⋮ Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback ⋮ On α- andD-negative imaginary systems ⋮ Parameter-dependent Lyapunov functions for state-derivative feedback control in polytopic linear systems ⋮ Pole placement LMI constraints for stability and transient performance of LPV systems with incomplete state measurement ⋮ Eliminating impulse for descriptor system by derivative output feedback ⋮ LMI-based designs for robust state and output derivative feedback guaranteed cost controllers in reciprocal state space form

Uses Software

• SeDuMi
• LMI toolbox

Cites Work

• Near-optimal controls of random-switching LQ problems with indefinite control weight costs
• An LMI approach to design robust fault detection filter for uncertain LTI systems.
• Robust output-feedback controller design via local BMI optimization
• ACCELERATION-BASED VIBRATION CONTROL OF DISTRIBUTED PARAMETER SYSTEMS USING THE “RECIPROCAL STATE-SPACE FRAMEWORK”
• Pole assignment of linear uncertain systems in a sector via a Lyapunov-type approach
• Global optimization for the -norm model reduction problem
• Pole assignment in a specified disk
• Controller design with regional pole constraints
• Pole assignment for uncertain systems in a specified disk by state feedback
• H/sub ∞/ design with pole placement constraints: an LMI approach
• Robust state-derivative feedback LMI-based designs for multivariable linear systems

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