This paper presents a direct adaptive regulation result for a class of strict feedback discrete time nonlinear systems with arbitrary nonlinearities. This results is an extension of the current state of the art in discrete time adaptive backstepping, where until now results are restricted to the case where the plant’s nonlinearities can be expressed as a linear combination of known functions an...

We have applied a multiobjective genetic algorithm to the optimization of multiphoton-excited fluorescence. Our study shows the advantages that this approach can offer to experiments based on adaptive shaping of femtosecond pulses. The algorithm outperforms single-objective optimizations, being totally independent from the bias of user defined parameters and giving simultaneous access to a larg...

This paper deals with adaptive control of a class of nonlinear dynamic systems preceded by unknown backlash-like hysteresis nonlinearities, where the hysteresis is modeled by a differential equation. By exploiting solution properties of the differential equation and combining those properties with adaptive control techniques, a robust adaptive control algorithm is developed without constructing...

Finite element approximation plays an important role in the numerical methods of optimal control problems. There have been extensive theoretical and numerical studies for the finite element approximation of various optimal control problems. However the literature is too huge to even give a very brief review here. In recent years, the adaptive finite element method has been extensively investiga...

This work investigates modified function projective synchronization between two different hyperchaotic dynamical systems, namely, hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between two diffierent hy...

Adaptive designs are effective mechanisms for flexibly allocating experimental resources. In clinical trials particularly, such designs allow researchers to balance short and long term goals of improving patient well being. This tradeoff often takes the form of trying to minimize patient losses during the experiment while simultaneously gathering sufficient information to support decisions abou...

| This paper addresses the control problem of hydraulic robot manipulators. The backstepping design methodology is adopted to develop a novel nonlinear position tracking controller. The tracking errors are shown to be exponentially stable under the proposed control law. The controller is further augmentedwith adaptation laws to compensate for parametric uncertainties in the system dynamics. Acc...

In this paper, we consider the leader-following consensus problem for multiple uncertain rigid spacecraft systems with the attitude being represented by unit quaternion. Existing results on this problem rely on the assumption that all parameters of the rigid spacecraft system are known exactly. By employing a nonlinear distributed observer for the leader system, we first convert the leader-foll...

Adouble-gimbalcontrol-momentgyro (CMG) ismodeled usingLagrange’s equations,and an adaptive feedback control law is developed to follow a commandedCMG motion. The control law does not require knowledge of the mass properties of the CMG. A Lyapunovargument is used to prove that command following is achieved globally with asymptoticconvergence. Numerical simulationsare performed to illustrate the ...

This paper presents a comparative analysis of continuously stirred tank reactor (CSTR) control based on adaptive control and optimal tuning of PID control based on particle swarm optimization. In the design of adaptive control, Model reference adaptive control (MRAC) scheme is used, in which the adaptation law have been developed by MIT rule & Lyapunov’s rule. In PSO control parameters of PID c...