By F. Lamnabhi-Lagarrigue, A. Lor´ıa, E. Panteley (Eds.)
"Advanced issues up to the mark structures idea" comprises chosen contributions written by means of academics on the moment (annual) Formation d’Automatique de Paris (FAP) (Graduate keep watch over college in Paris). it truly is addressed to graduate scholars and researchers on top of things concept with subject matters concerning numerous parts of curiosity to the keep watch over neighborhood akin to cascaded structures, flatness, optimum regulate, and Hamiltonian and infinite-dimensional platforms. The reader is supplied with a well-integrated synthesis of the newest pondering in those topics with no the necessity for an exhaustive literature evaluate. "Advanced subject matters up to speed platforms concept" can be utilized to help both a one-term basic complex direction on nonlinear regulate thought, devoting a number of lectures to every bankruptcy, or for extra concentrated and in depth classes at graduate point. The book’s concise yet pedagogical demeanour will supply an awesome begin to researchers wishing to increase their wisdom in facets of contemporary regulate idea outdoor their very own services.
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Extra info for Advanced Topics in Control Systems Theory: Lecture Notes from FAP 2004
Lor´ıa and E. 112b) where c3 > 0, c4 > 0, c5 > 0, c6 > 0. 112) is USGES and UGAS. Proof . 35). 1: • The assumption on Σ1 : This system is GES (and therefore UGAS) under the assumptions imposed on ωr (t) and c2 . The assumption on V (t, x1 ) holds with V (t, x1 ) := c3 ve2 + x2e + ye2 . • The assumption on the interconnection term: since |vr (t)| ≤ vrmax for all t ≥ 0 we have: √ |g(t, x, y)| ≤ vrmax 2 + |x| . • The assumption on Σ2 follows from GES of Σ2 . Note that the latter holds for any c5 and c6 > 0.
Praly (2002) An introduction to lyapunov designs of global asymptotic stabilizers. Technical report, Banach Center Summer School on Mathematical control theory, Poland. 48. L. Praly and Y. Wang (1996) Stabilization in spite of matched unmodelled dynamics and an equivalent deﬁnition of input-to-state stability. Math. of Cont. Sign. , 9:1–33. 49. N. Rouche and J. Mawhin (1980) Ordinary diﬀerential equations II: Stability and periodical solutions. , London. 50. C. H. McClamroch (1995) Stabilization and asymptotic path tracking of a rolling disk.
T. I. Fossen (1994) Guidance and control of ocean vehicles. John Wiley & Sons Ltd. 9. T. I. Fossen and J. P. Strand (1999) Passive nonlinear observer design for ships using Lyapunov methods: Full-scale experiments with a supply vessel. Automatica, 35(1):3–16. 10. W. Hahn (1967) Stability of motion. Springer-Verlag, New York. 11. P. Ioannou and J. Sun (1996) Robust adaptive control. Prentice Hall, New Jersey, USA. 12. M. Jankovi´c, R. Sepulchre, and P. V. Kokotovi´c (1996) Constructive Lyapunov stabilization of non linear cascaded systems.
Advanced Topics in Control Systems Theory: Lecture Notes from FAP 2004 by F. Lamnabhi-Lagarrigue, A. Lor´ıa, E. Panteley (Eds.)