This paper deals with the robust H∞ control problem for a class of multi-input non-minimum-phase nonlinear systems with parameter uncertainty. A system of this class is assumed to be in a special interlaced form, which includes a strict triangular form as a special case. By using an extension of backstepping, nonlinear static-state feedback controllers are designed such that the closed-loop sys...

When face patterns are subject to changes in view and illumination and facial shape, their distribution is highly nonlinear and complex in any space linear to the original image space. In this paper, we investigate into a nonlinear mapping by which multi-view face patterns in the input space are mapped into invariant points in a low (10-) dimensional feature space. The invariance to both illumi...

New designs of all-optical logic gates based on spatial-soliton interactions in optical communication spectral regions were proposed. The proposed structures are composed of local nonlinear Mach-Zehnder interferometer (MZI) waveguide structures with multi-input ports and two nonlinear output ports. They can be used to design various all-optical logic gates. The nonlinear MZI waveguide structure...

in this paper, the portfolio selection problem is considered, where fuzziness and randomness appear simultaneously in optimization process. since return and dividend play an important role in such problems, a new model is developed in a mixed environment by incorporating fuzzy random variable as multi-objective nonlinear model. then a novel interactive approach is proposed to determine the pref...

Adaptive inverse control is an automatic control-system design method which “learns” over time how to control a dynamic system (“plant”). The technique may be applied to single-input single-output (SISO) and multi-input multi-output (MIMO) plants. The plant may be linear or nonlinear. This report addresses preliminary results concerning a new way to perform adaptive inverse control of linear MI...

This paper addresses the disturbance decoupling problem (DDP) for nonlinear systems, extending the results for continuous-time systems into the discrete-time case. Sufficient conditions are given for the solvability of the problem. The notion of the rank of a one-form is used to find the static measurement feedback that solves the DDP whenever possible. Moreover, necessary and sufficient condit...

A higher order sliding mode control algorithm is proposed for a class of uncertain multi-input multi-output nonlinear systems. This problem can be viewed as the finite time stabilization of a higher order input-output dynamic system with bounded uncertainties. The developed control scheme is based on geometric homogeneity and sliding mode control. The proposed procedure provides explicit condit...

This paper presents an asymptotic state observer for the class of nonlinear dynamic systems with time-delay both in the dynamic equation and in the output equation. In previous works state observers have been studied only for nonlinear systems with delay in the state equation and without delay in the output equation and for nonlinear system with only output delay. Su±cient conditions are given ...

An analytical solution to the nonlinear model predictive control (NMPC) optimization problem is derived for single–input single–output (SISO) systems modeled by second–order Volterra–Laguerre models. All input moves except the current move (m > 1 in the NMPC framework) are approximated by solving an unconstrained linear MPC problem which utilizes a locally accurate linear model of the process. ...