Nonlinear dynamical control systems
Nonlinear dynamical control systems
Equivalence of Nonlinear Systems to Input-Output Prime Forms
SIAM Journal on Control and Optimization
Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
ACM Transactions on Mathematical Software (TOMS)
Evaluating derivatives: principles and techniques of algorithmic differentiation
Evaluating derivatives: principles and techniques of algorithmic differentiation
Nonlinear Control Systems
Nonlinear Control and Analytical Mechanics with Mathematica with Cdrom
Nonlinear Control and Analytical Mechanics with Mathematica with Cdrom
Differentiation methods for industrial strength problems
Automatic differentiation of algorithms
Computation of state and input trajectories for flat systems using automatic differentiation
Automatica (Journal of IFAC)
Input-output linearization of nonlinear systems using multivariable Legendre polynomials
Automatica (Journal of IFAC)
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Several new algorithms for nonlinear controller design are based on differential-geometric concepts. Up to now, the feedback of the controller has been computed symbolically. The author proposes a method to compute the feedback using automatic differentiation. With this approach, time-consuming symbolic computation can be avoided.