Computational Aspects of a Criterion for Robust ∞-Stability of Systems with Repeated Perturbations
نویسندگان
چکیده
The class of robust stability problems considered involves structured, repeated, linear time-varying, induced ∞-norm bounded perturbations. A well known sufficient condition for these robust problems follows from the scaled small gain theorem and is stated in the form of a scaled 1-norm minimization problem with block diagonal scaling matrices. A procedure reducing the domain in the search for an optimal scaling matrix, while preserving global optimality, is presented here.
منابع مشابه
Passivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations
This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...
متن کاملComputational Aspects of a Criterion for Robust l∞-Stability of Systems with Repeated Perturbations
The class of robust stability problems considered involves structured, repeated, linear time-varying, induced l∞-norm bounded perturbations. A well known sufficient condition for these robust problems follows from the scaled small gain theorem and is stated in the form of a scaled l1-norm minimization problem with block diagonal scaling matrices. A procedure reducing the domain in the search fo...
متن کاملRobust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays
In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...
متن کاملApplication of ANN Technique for Interconnected Power System Load Frequency Control (RESEARCH NOTE)
This paper describes an application of Artificial Neural Networks (ANN) to Load Frequency Control (LFC) of nonlinear power systems. Power systems, such as other industrial processes, have parametric uncertainties that for controller design had to take the uncertainties in to account. For this reason, in the design of LFC controller the idea of robust control theories are being used. To improve ...
متن کاملA Dissipative Integral Sliding Mode Control Redesign Method
This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...
متن کامل