Stability and /spl Hscr//sub /spl infin// performance analysis of gain scheduled nonlinear control systems with /spl Dscr/-implementation under slowly varying command inputs

Hiroe, T.; Khargonekar, Pramod P.

doi:10.1109/cdc.1996.572783

Cited by 2 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From a more general point of view, the proposed approach can be applied to control problems involving parameter dependent LMI conditions. Such formulations were proposed, for instance, for the control of nonlinear systems [43][44][45][46], control of saturated systems [9] and control of spatially invariant (distributed) systems [10,47]. Under some technicalities, the proposed approach can be also adapted to control problems involving parameter dependent Riccati equations.…”

Section: Resultsmentioning

confidence: 99%

Parameter dependentH∞ control by finite dimensional LMI optimization: application to trade-off dependent control

Dinh

Scorletti

Fromion

et al. 2005

Int. J. Robust Nonlinear Control

View full text Add to dashboard Cite

SUMMARYIn this paper, we consider the design of an H 1 trade-off dependent controller, that is, a controller such that, for a given Linear Time-Invariant plant, a set of performance trade-offs parameterized by a scalar y is satisfied. The controller state space matrices are explicit functions of y: This new problem is a special case of the design of a parameter dependent controller for a parameter dependent plant, which has many application in Automatic Control. This last design problem can be naturally formulated as a convex but infinite dimensional optimization problem involving parameter dependent Linear Matrix Inequality (LMI) constraints. In this paper, we propose finite dimensional (parameter independent) LMI constraints which are equivalent to the parameter dependent LMI constraints. The parameter dependent controller design is then formulated as a convex finite dimensional LMI optimization problem. The obtained result is then applied to the trade-off dependent controller design. A numerical example emphasizes the strong interest of our finite dimensional optimization problem with respect to the trade-off dependent control application.

show abstract