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Non-quadratic performance design for Takagi-Sugeno fuzzy systems

100%

Bernal M., Hušek P.

International Journal of Applied Mathematics and Computer Science

2005

tom 15

nr 3

383-391

This paper improves controller synthesis of discrete Takagi-Sugeno fuzzy systems based on non-quadratic Lyapunov functions, making it possible to accomplish various kinds of control performance specifications such as decay rate conditions, requirements on control input and output and disturbance rejection. These extensions can be implemented via linear matrix inequalities, which are numerically solvable with commercially available software. The controller design is illustrated with an example.

Injectivity onto a star-shaped set for local homeomorphisms in n-space

88%

Gorni G., Zampieri G.

Annales Polonici Mathematici

1994

tom 59

nr 2

171-196

We provide a number of either necessary and sufficient or only sufficient conditions on a local homeomorphism defined on an open, connected subset of the n-space to be actually a homeomorphism onto a star-shaped set. The unifying idea is the existence of "auxiliary" scalar functions that enjoy special behaviours along the paths that result from lifting the half-lines that radiate from a point in the codomain space. In our main result this special behaviour is monotonicity, and the auxiliary function can be seen as a Lyapunov function for a suitable dynamical system having the lifted paths as trajectories.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 International Journal of Applied Mathematics and Computer Science

1 Bernal M.

1 Gorni G.

1 Hušek P.

1 Zampieri G.

1 2005

1 1994

Wyniki wyszukiwania

Non-quadratic performance design for Takagi-Sugeno fuzzy systems

Injectivity onto a star-shaped set for local homeomorphisms in n-space