Biomedical Engineering Reference
In-Depth Information
[42] J.M. Martins, Z. Mohamed, M.O. Tokhi, J. Sa da Costa,
and M.A. Botto, Approaches for dynamic modelling of
flexible manipulator systems,
IEE Proc Control Theory
Appl
150
(2003), 401-411.
[43] B.C. Bouzgarrou, P. Ray, and G. Gogu, New approach for
dynamic modelling of flexible manipulators,
Proc Inst
Mech Eng, Part K: J Multi-body Dyn
219
(2005), 285-298.
[44] M.M. Fateh, Dynamic modeling of robot manipulators
in D-H frames,
World Appl Sci J
6
(2009), 39-44.
[45] E. Garcia and D.J. Inman, Advantages of slewing an active
structure,
J Intell Mater Syst Struct
1
(1991), 261-272.
[46] M.K. Kwak, K.K. Denoyer, and D. Sciulli, Dynamics
and control of slewing active beam,
J Guid Contr Dyn
18
(1994), 185-189.
[47] Q. Sun, Control of flexible-link multiple manipulators,
ASME J Dyn Syst Meas Contr
124
(2002), 67-76.
[48] Z. Wang, H. Zeng, D.W.C. Ho, and H. Unbehauen,
Multi-objective control of a four-link flexible manipula-
tor: a robust
H
∞
approach,
IEEE Trans Control Syst
Technol
10
(2002), 866-875.
[49] A. Fenili, J.M. Balthazar, and R.M.L.R.F. Brasil, On the
mathematical modeling of beam-like flexible structure
in slewing motion assuming nonlinear curvature,
J
Sound Vib
282
(2004), 543-552.
[50] A.E. Bryson and Y.-C. Ho,
Applied optimal control
, Hemi-
sphere, New York, NY, USA (1975).
[51] R. Bellman, The theory of dynamic programming,
Proc
Natl Acad Sci
38
(1952), 360-385.
[52] R. Bellman,
Dynamic programming
, Dover Publications,
New York, NY, USA (2003).
[53] J.A. Primbs,
Nonlinear optimal control: a receding horizon
approach
, Ph.D. dissertation, California Institute of
Technology (1999).
[54] J.A. Primbs, V. Nevistić, and J.C. Doyle, Nonlinear
optimal control: a control Lyapunov function and reced-
ing horizon perspective,
Asian J Control
1
(1999), 14-24.
[55] J.R. Cloutier, C.N. D'Souza, and C.P. Mracek. Nonlinear
regulation and nonlinear
H
∞
control via the state-
dependent Riccati equation technique,
Proceedings of the
1st international conference on nonlinear problems in avia-
tion and aerospace
, Daytona Beach, FL, USA (1996).
[56] J. Vlassenbroeck and R. Van Dooren, A Chebyshev tech-
nique for solving nonlinear optimal control problems,
IEEE Trans Autom Control
33
(1988), 333-340.
[57] D. Georges, C.C. de Wit, and J. Ramirez, Nonlinear
H
2
and
H
∞
optimal controllers for current-fed induction
motors,
IEEE Trans Autom Control
44
(1999), 1430-1435.
[58] P.A. Frick and D.J. Stech, Solution of the optimal control
problems on parallel machine using epsilon method,
Optim Control Appl Methods
16
(1995), 1-17.
[59] H. Jaddu and E. Shimemura, Computation of optimal
control trajectories using Chebyshev polynomials: par-
ametrization and quadratic programming,
Optim
Control Appl Methods
20
(1999), 21-42.
[60] J. Tamimi and H. Jaddu, Nonlinear optimal controller
of three-phase induction motor using quasi-lineariza-
tion,
Proceedings of the second international symposium on
communications, control and signal processing
, Marrakech,
Morocco (March 13-15, 2006).
[61] A.J. van der Schaft,
L
2
-gain analysis of nonlinear
systems and nonlinear state feedback
H
∞
control,
IEEE
Trans Autom Control
37
(1992), 770-784.
[62] A.J. van der Schaft,
L
2-
gain and passivity techniques in
nonlinear control
, Springer-Verlag, Berlin, Germany
(1996).
[63] J.B. Burl, Linear optimal control:
H
2
and
H
∞
methods,
Addison Wesley Longman, Reading, MA, USA (1999).
[64] R.B. Brown and P.Y.C. Hwang,
Introduction to random
signals and applied Kalman filtering,
, 3rd ed., Wiley, New
York, NY, USA (1997).
[65] S.J. Julier and J. Uhlmann, Unscented filtering and non-
linear estimation,
Proc IEEE
92
(2000), 401-422.
[66] S.J. Julier, J. Uhlmann, and H.F. Durrant-Whyte, A new
method for the nonlinear transformation of means and
covariances in filters and estimators,
IEEE Trans Autom
Control
45
(2000), 477-482.
[67] S.J. Julier, The scaled unscented transformation,
Proceed-
ings of the American control conference
, vol. 6 (2002),
4555-4559.
[68] F.C. Moon,
Chaotic vibrations
, Wiley, New York, NY,
USA (1987).
[69] A.H. Nayfeh, D.T. Mook, and S. Sridhar, Nonlinear
analysis of the forced response of structural elements,
J Acoust Soc Am
55
(1974), 281-291.
[70] A.H. Nayfeh and D.T. Mook,
Nonlinear oscillations
,
Wiley, New York, NY, USA (1979).
[71] K. Glover and J.C. Doyle, State space formulae for all
stabilizing controllers that satisfy an
H
∞
-norm bound
and relations to risk sensitivity,
Syst Control Lett
11
(1988), 167-172.
[72] J.C. Doyle, K. Glover, P.P. Khargonekar, and B. Francis,
State-space solutions to the standard
H
2
and
H
∞
control
problems,
IEEE Trans Autom Control
34
(1989), 831-847.
[73] P. Gahinet and P. Apkarian, A linear matrix inequality
approach to
H
∞
control,
Int J Robust Nonlinear Control
4
(1994), 421-448.
[74] P.P. Khargonekar and M.A. Rotea, Mixed
H
2
/
H
∞
control: a convex optimization approach,
IEEE Trans
Autom Control
36
(1991), 824-837.
[75] K. Zhou, J.C. Doyle, and K. Glover,
Robust and optimal
control
, Prentice-Hall, Upper Saddle River, NJ, USA
(1995).
[76] F.E. Zajac, Muscle and tendon: properties, models,
scaling and application to biomechanics and motor
control,
CRC Crit Rev Biomed Eng
17
(1989), 359-411.
[77] D. Song, G. Raphael, N. Lan, and G.E. Loeb, Computa-
tionally efficient models of neuromuscular recruitment
and mechanics,
J Neural Eng
5
(2008), 175-184.