Structured singular value approach for systems with parametric uncertainty

International Journal of Robust and Nonlinear Control

Volumn 11, Issue 7, 2001, Pages 653-680

  Young, Peter M ^a  

^a Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

Real parameter uncertainty; Robust analysis; Structured singular value

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; SYSTEM STABILITY; SYSTEMS ANALYSIS; UNCERTAIN SYSTEMS;

PARAMETRIC UNCERTAINTY;

NONLINEAR CONTROL SYSTEMS;

EID: 0035365673     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/rnc.624     Document Type: Article

References (49)

1. On the input-output stability of nonlinear time-varying feedback systems, Parts I and II
2. Tight bounds on the response of multivariable systems with component uncertainty
3. Analysis of feedback systems with structured uncertainty
4. Characterization and efficient computation of the structured singular value
5. A power method for the structured singular value
6. Structured uncertainty in control system design
7. Beyond singular values and loop shapes
8. The μ analysis and synthesis toolbox
9. Development of advanced control design software for researchers and engineers
10. The complex structured singular value
11. Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
12. A lower bound for the mixed μ problem
13. Computing bounds for the mixed μ problem
14. Mixed μ problems and branch and bound techniques
15. An improved μ lower bound via adaptive power iteration
16. Mixed μ upper bound computation
17. Computational complexity of μ calculation
18. The componentwise distance to the nearest singular matrix
19. Checking robust nonsingularity is NP-complete
20. Continuity properties of the real/complex structured singular value
21. Properties of the mixed μ problem and its bounds
22. The rank one mixed μ problem and "Kharitonov-type" analysis
23. A formula for computation of the real stability radius
24. The structured singular value and stability of uncertain polynomials: A missing link
25. Controller design with real parametric uncertainty
26. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
27. Root locations of an entire polytope of polynomias: It suffices to check the edges
28. Parameter space methods for robust control design: A guided tour
29. A survey of extreme point results for robustness of control systems
30. Exact calculations of the multiloop stability margin
31. Fast computation of the multivariable stability margin for real interrelated uncertain parameters
32. Randomized algorithms for probabilistic robustness with real and complex uncertainty
33. System analysis via integral quadratic constraints
34. Connection between the Popov criterion and upper bounds for real parameter uncertainty
35. Structured singular value with repeated scalar blocks
36. Branch and Bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
37. ∞ control problems
38. A convex parameterization of robustly stabilizing controllers