Abstract: This paper presents a new algorithm for the closed-loop H∞ control of a class of singularly perturbed nonlinear systems with an exogenous disturbance, using the successive Galerkin approximation (SGA). The singularly perturbed nonlinear system is decomposed into two subsystems of a slow-time scale and a fast-time scale in the spirit of the general theory of singular perturbation. Two ...

We solve the problem of decentralized H∞ almost disturbance decoupling for a class of large-scale nonlinear uncertain systems in the absence of matching conditions. The method combines ideas from decentralized adaptive control and centralized nonlinear H∞ control. We relax earlier assumptions on the uncertain time-varying interconnections which are demanded to be only bounded by general nonline...

this article presents a fuzzy robust mixed - sensitivity gain - scheduled h controller based on the loop -shaping methodology for a class of mimo uncertain nonlinear time - varying systems. in order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by takagi and sugeno’s (t - s) fuzzy approach. both loop - shaping methodology and...

The boundary stabilization problem for a class of linear and nonlinear pseudo-parabolic differential equations is considered. The proposed control laws are used to achieve global exponential stability for the linear system and semi-global exponential stability for the nonlinear system in the H 1-sense. An H 2 bound of the solution for the nonlinear system is also derived. A numerical example is...

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...

This paper investigates the robust H∞ reliable control for a class of uncertain switched nonlinear systems with time delay. Firstly, a criterion of exponential stability with H∞ performance for switched nonlinear systems with time delay is proposed. Then, a design methodology of the robust H∞ reliable control for switched nonlinear systems with time delay and parameter uncertainties is presente...

in this paper, an observer based fuzzy adaptive controller (fac) is designed fora class of large scale systems with non-canonical non-affine nonlinear subsystems. it isassumed that functions of the subsystems and the interactions among subsystems areunknown. by constructing a new class of state observer for each follower, the proposedconsensus control method solves the problem of unmeasured sta...

In the H-bridge inverter, control and circuit topology parameters are key factors affecting its dynamic stability, changes of each parameter have different effects on stability system. This paper takes current-controlled first-order passive inverter based PI as research object. Firstly, modal circuit, an accurate discrete iterative mapping model is derived according to stroboscopic principle. T...