By Hans Wilhelm Knobloch
This booklet offers a survey on fresh makes an attempt to regard classical regulator layout difficulties in case of an doubtful dynamics. it's proven that resource of the uncertainty might be twofold:
(i) The method is below the effect of an exogenous disturbance approximately which one has basically incomplete - or none - information.
(ii) A part of the dynamical legislations is unspecified - because of imperfect modeling.
Both circumstances are defined by means of the kingdom area version in a unified way
“Disturbance Attenuation for doubtful keep watch over platforms” provides a number of ways to the layout challenge within the presence of a (partly) unknown disturbance sign. there's a transparent philosophy underlying each one method which might be characterised by way of both of the subsequent phrases: Adaptive regulate, Worst Case layout, Dissipation Inequalities.
Read or Download Disturbance Attenuation for Uncertain Control Systems: With Contributions by Alberto Isidori and Dietrich Flockerzi PDF
Similar system theory books
This publication is meant for graduate and complicated undergraduate scholars in arithmetic, physics and engineering who desire to study this topic and for researchers within the region who are looking to increase their thoughts.
This edited ebook comprises chosen papers offered on the Louisiana convention on Mathematical keep an eye on thought (MCT'03), which introduced jointly over 35 fashionable global specialists in mathematical regulate idea and its functions. The publication varieties a well-integrated exploration of these components of mathematical keep an eye on idea within which nonsmooth research is having a big effect.
This publication offers the 1st transparent, finished, and obtainable account of complicated adaptive social platforms, via of the field's best gurus. Such systems--whether political events, inventory markets, or ant colonies--present probably the most fascinating theoretical and sensible demanding situations confronting the social sciences.
Networks promises an invaluable version and photograph photograph priceless for the outline of a wide number of web-like buildings within the actual and man-made realms, e. g. protein networks, meals webs and the net. The contributions collected within the current quantity supply either an advent to, and an summary of, the multifaceted phenomenology of advanced networks.
- Pitfalls of Analysis (International Series on Applied Systems Analysis 8)
- The Science of Open Spaces: Theory and Practice for Conserving Large, Complex Systems
- System Engineering Analysis, Design, and Development: Concepts, Principles, and Practices
- AC Electric Motors Control: Advanced Design Techniques and Applications
Extra resources for Disturbance Attenuation for Uncertain Control Systems: With Contributions by Alberto Isidori and Dietrich Flockerzi
82) (for pointwise inequalities) or in the sense of the corresponding integrated versions. Case (III). α = 0 and V ≡ V0 is a solution of H0 (t, x, V ) := Vt + H0 (t, x, Vx T ) ≤ 0 . 80) holds for V = V0 , in particular for |v − v ∗ |2S ≥ |v ∗ |2S − 2(v ∗ , β)S = (v ∗ , v ∗ − 2β)S . 5 Alternatives for Aﬃne–Quadratic Systems 33 Note that v ∗ = vH (t, x, (V0 )T x ) is not the worst case strategy of the diﬀerential game which is given by vH (t, x, VxT ) with V being a solution of H = 0 (and not of H0 ≤ 0).
Under the above uniformity assumptions one has a step–by–step procedure to follow the actual trajectory by updating V 0 near (t0 , x0 ) to V 1 near (t1 , ξ(t1 )) as above. 68), so that it is suﬃcient to compute the corresponding local integral manifolds. The above proof also contains an outline for the proof of the following Corollary. 2. Let S be a bounded subset of the (t, x)–space with the following properties. Suppose one can ﬁnd a δ–neighborhood Sδ of S and numbers m and β such that the following statements hold true: (a) The derivatives of H up to order 2 are bounded in the absolute value by μ on Sδ .
G. disturbance) t → v(t). It is our goal to ﬁnd mappings (t, x) → u(t, x) and (t, x) → V (t, x) such that a dissipation inequality te t0 f0 (t, x(t), u(t, x(t)), v(t))dt ≤ V (t0 , x0 ) − V (te , x(te )). holds for all disturbances v(·). 72) should exist over [t0 , te ]. It would be advantageous if one could enforce V (te , x(te )) ≥ 0 or if one could prescribe V (te , x(te )) = a(te , x(te )). In the latter case one would have incorporated a terminal pay–oﬀ in the costs ˜ 0 , v(·)) = a(te , x(te )) + C(x te t0 f0 (t, x(t), u(t, x(t)), v(t))dt .