Monotonic relaxations for robust control: New characterizations

IEEE Transactions on Automatic Control

Volumn 47, Issue 2, 2002, Pages 378-384

  Tuan, H D ^a   Apkarian, P ^b  

^a TOYOTA TECHNOLOGICAL INSTITUTE   (Japan)

^b ONERA   (France)

Author keywords

Monotonic optimization; Parameterized linear matrix inequalities (PLMIs); Robust control

Indexed keywords

CONSTRAINT THEORY; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; SYSTEM STABILITY;

PARAMETERIZED LINEAR MATRIX INEQUALITIES (PLMI);

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0036475235     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.983384     Document Type: Article

References (12)

1. Parameterized LMIs in control theory
2. On avoiding vertexization of robustness problems: The approximate feasibility concept
3. New upper bound of the real μ on the parameter dependent multiplier
4. Improved bounds of the structured singular value
5. Parameter-dependent lyapunov functions for real parametric uncertainty
6. Robust stability analysis with quadratic separator: Parametric time-varying uncertainty case
7. Probabilistic enhancement of classical robustness margins: The unirectangularity concept
8. The complex structured singular value
9. Robust autopilot design using μ-synthesis
10. Parameter space methods for robust control design: A guided tour
11. Relaxations of parameterized LMIs with control applications