Control of uncertain systems--modelling, approximation, and by Bruce A. Francis, Malcolm C. Smith, Jan C. Willems PDF

By Bruce A. Francis, Malcolm C. Smith, Jan C. Willems

ISBN-10: 3540317546

ISBN-13: 9783540317548

This Festschrift features a choice of articles via acquaintances, co-authors, colleagues, and previous Ph.D. scholars of Keith Glover, Professor of Engineering on the collage of Cambridge, at the celebration of his 60th birthday. Professor Glover's clinical paintings spans a wide selection of themes, the most subject matters being approach identity, version relief and approximation, strong controller synthesis, and keep an eye on of plane and engines. The articles during this quantity are a tribute to Professor Glover's seminal paintings in those components.

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1802–1808, 1994. 11. S. Dasgupta, B. D. O. Anderson, G. Chockalingam, and M. Fu, “Lyapunov functions for uncertain systems with applications to the stability of time varying systems,” IEEE Transactions on Circuits and Systems, vol. 41, pp. 93–106, 1994. 12. A. Lanzon, “Pointwise in frequency performance weight optimization in musynthesis,” International Journal of Robust and Nonlinear Control, vol. 15, pp. 171–199, 2005. 13. P. Gahinet, A. Nemirovski, A. J. Laub, and M. , 1995, for use with Matlab.

In the extended model, the planing condition is a function of the cavity boundary and a delayed function of the cavitator position. This requires an extension of the vehicle state space description by two additional states: dz = w − V θ. z(t) vertical position of vehicle at the nose, dt dθ • θ(t) vehicle pitch angle, = q. dt The centerline of the cavity is determined by the path of the nose through the fluid, see Figure 2. It is assumed that the diameter of the cavity at any given location depends only on the length between its centerline position and the actual position of the nose.

A. Arndt z (m) 20 Basic AMP 15 AMP 20 10 0 −10 0 1 2 3 4 5 6 7 1 2 3 4 time (s) 5 6 7 w (m/s) 10 5 0 −5 −10 0 Fig. 5. Simulated trajectory of high speed supercavtating vehicle unity actuator model. Figure 7 shows the effect of including a 30 Hz, first order actuator model. The performance specifications are to track θ reference commands and reduce limit cycle oscillations. The reference tracking properties received the higher priority as compared with the damping the oscillatory behavior. The following controller gains were selected: −α ¯ 110 = −40000; −α ¯ 111 = −400; −α ¯ 220 = −90000; −α ¯ 221 = −600 (44) With which the resulting eigenvalues are −300; −300; −200; −200.

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Control of uncertain systems--modelling, approximation, and design: a workshop on the occasion of Keith Glover's 60th birthday by Bruce A. Francis, Malcolm C. Smith, Jan C. Willems


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