This thesis studies the problem of robust disturbance rejection for nonlinear systems based on three different methods: H∞ control, singular perturbation theory and multiple model adaptive control. Firstly, the disturbance suppression problem for nonlinear systems based on H∞ control is examined. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator into ...

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...

The energy preserving average vector field (AVF) integrator is applied to evolutionary partial differential equations (PDEs) in bi-Hamiltonian form with nonconstant Poisson structures. Numerical results for the Korteweg de Vries (KdV) equation and for the Ito type coupled KdV equation confirm the long term preservation of the Hamiltonians and Casimir integrals, which is essential in simulating ...

The disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H, disturbance suppression problem. We extend this H, problem to the nonlinear case, and present a method to reduce t...

We present a receding horizon control scheme that utilizes a discrete time version of a nonlinear, iterative, projection-based optimization routine. The routine utilizes a projection operator to ensure feasible system trajectories at each iteration of the optimization resulting in valid control signals even when constraints on computation time prevent full convergence. An additional feature of ...

continuous stirred tank reactor (cstr) has particular importance in chemical industry. cstr has usually a nonlinear behavior which makes it difficult to control. the reactor has two parameters: the concentration and temperature of mixture both of which are uncertain. this case of cstr has large disturbance in domain. in order for disturbance rejection, a controller has to be designed. in this p...

A method ofK-set canonical correlation analysis capable of joint multivariate nonlinear transformations of data was proposed. The method consists ofK nonlinear data transformation modules, each of which is a multilayered feed-forward network, and one integrator module which combines information from the K transformation modules. The proposed method is useful for integrating information from K c...

In this paper, we derive a variational integrator for certain highly oscillatory problems in mechanics. To do this, we take a new approach to the splitting of fast and slow potential forces: rather than splitting these forces at the level of the differential equations or the Hamiltonian, we split the two potentials with respect to the Lagrangian action integral. By using a different quadrature ...