In this paper, we propose a computational scheme of solving the output feedback H∞ control problem for a class of nonlinear systems with polynomial vector field. The output feedback control design problem will be decomposed into a state feedback and an output estimation problems. Resorting to higher order Lyapunov functions, two Hamilton-JacobianIsaacs (HJI) inequalities are first formulated as...

In this letter, we consider a problem of global stabilization of a class of approximately feedback linearized systems. We propose a new nonlinear control approach which includes a nonlinear controller and a Lyapunov-based design method. Our new nonlinear control approach broadens the class of systems under consideration over the existing results. key words: approximate feedback linearization, g...

In this paper we discuss the nonlinear control of a novel biped robot with three-degrees-of-freedom and two control inputs, whose dynamics are linear apart from the gravitational torque and the impact equations. We show that the equations of motion are locally feedback linearizable by nonlinear change of coordinates and nonlinear feedback in a region that includes all walking gates of interest....

In this paper a combination of the feedback linearizing control technique and GloverMcFarlane control method is applied for the control of a synchronous motor. The use of feedback linearization requires the complete knowledge of the nonlinear system. In practice, there are many processes whose dynamics is very complex, highly nonlinear and usually incompletely known. To improve robustness, it m...

To date, nonlinear l∞ -gain static output feedback control problems have not been solved by the conventional control methods for nonlinear discrete-time systems with persistent bounded disturbances. This study introduces static output feedback fuzzy control scheme to deal with the nonlinear l∞ -gain control problem. The structure of static output feedback fuzzy control is simpler than that of d...

This paper is concerned with the problem of H control of fuzzy nonlinear impulsive systems with quantized feedback. New results on the H feedback control are established for one class of fuzzy nonlinear uncertain impulsive systems and one class of fuzzy nonlinear impulsive systems with nonlinear uncertainties by choosing appropriately quantized strategies and applying Lyapunov function approach...

This paper presents the stability analysis of a fuzzymodel-based control system consisting of a nonlinear plant and a nonlinear state feedback controller and the design of the nonlinear gains of the controller. The nonlinear plant is represented by a fuzzy model having rules. A nonlinear state feedback controller is designed to close the feedback loop. Under this design, the stability condition...

In this paper some adaptive nonlinear multivariable techniques used in the control of robotic manipulators are presented. The nonlinear control law and state feedback are used in achieving a linear inputoutput behavior for the controlled system. For the design of the adaptive nonlinear control, the exact feedback input-output linearization and the method of gradient are used. The nonlinear cont...