40 Impact of Varying Environmental Conditions Simulate switched extremum seeking controller for 1000 W/m2 to 500 W/m2 step change in incident solar irradiation at 200 ms Lyapunov-Based Switching Scheme • Use stability proof by Krstic and Wang, Automatica, 2000. • Compute the average system: xa = 1/T ∫T x(τ)dτ • Linearize the averaged system about the extremum point: A = [dfa/dxa]eq • Show the J...

the modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. in the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. the stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the ...

A general approach based on the introduction of a control function for constructing amplitudecontrollable chaotic systems with quadratic nonlinearities is discussed in this paper. We consider three control regimes where the control functions are applied to different coefficients of the quadratic terms in a dynamical system. The approach is illustrated using the Lorenz system as a typical exampl...

Westudy the stability of an analog optimization circuit that solves quadratic programming (QP) problems. The circuit dynamics are modeled as a switched affine system. A piece-wise quadratic Lyapunov function and the KYP lemma are used to derive the stability criterion. The stability criterion characterizes the range of critical circuit parameters for which the QP circuit is globally exponential...

Abstract In this paper, a stability control approach of flexible joint robot (FJR) based T-S fuzzy model using fuzzy Lyapunov function is proposed. First, the Takagi and Sugeno (T-S) fuzzy model is employed to approximate the flexible joint robot, then a fuzzy controller is developed based on parallel distributed compensation principle (PDC). The non-quadratic stability conditions for the flexi...

This paper considers an average consensus problem for multiple integrators over fixed, or switching, undirected and connected network topologies. Event based control is used on each agent to drive the state to their initial average eventually. An event triggering scheme is designed based on a quadratic Lyapunov function. The derivative of the Lyapunov function is made negative by an appropriate...

The problem of robust adaptive stabilization of a class of multi-input multi-output nonlinear systems with constant linearly parameterized uncertainty and unknown structure of bounded variation have been considered. With the aid of direct adaptive technique and control Lyapunov function method, a robust adaptive controller is designed to complete the globally adaptive stability of the closed-lo...

In this paper, we present a Lyapunov function for systems containing a double integrator and with controller saturation. This Lyapunov function is composed of a positive-semide"nite quadratic term and an integral term. The main result provides a su$cient condition that guarantees a system with a double integrator can be globally stabilized by a saturating linear controller. For a triple-integra...