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The paper aims to design a high-gain observer for nonlinear systems with nonlinear and discontinuous sensor signal. The ultimate boundedness and exponential stability of the estimation error of high-gain observer are presented. The performance recovery property of output feedback control using high-gain observer is demonstrated. Simulation examples are illustrated to validate the proposed results of this paper. [ABSTRACT FROM AUTHOR]

This paper addresses the issue of model establishment and performance control for nonlinear computing systems based on Hadoop-Mapreduce platform. The parameter mapred.map.tasks is selected as the control input data and the CPU usage is selected as the output data. By using least-squares principle, a Hammerstein model for this relationship is identified and validated. The control law consists of a nonlinear compensator and a PID feedback. By testing in Simulink, the Hammerstein model is verified appropriate and the designed nonlinear control drives the CPU usage to achieve the target value asymptotically. [ABSTRACT FROM AUTHOR]

The paper considers the nonlinear optimal vibration control problem for systems with multiple delays, i.e. control delay, state delay, and measurement delay, under reference input. The time-delay system is transformed into an equivalent delay-free one via functional transformations. The nonlinear optimal control law is designed by solving a Riccati equation, a Sylvester equation, and an adjoint differential equation. The effects generated by nonlinearity and time-delay are compensated by the nonlinear compensator and the memory terms in the designed controller. An internal model is constructed so that the disturbance will be rejected with zero steady-state error as well as the reference is tracked, through the dynamical compensator produced from the internal model. An observer is constructed to make the controller physically realizable. The result is extended to vehicle suspension systems. It is demonstrated that the road vibration that is encountered by the suspension will be canceled entirely by the proposed control. Numerical simulations illustrate the effectiveness of the presented controller. [ABSTRACT FROM AUTHOR]