Slack variable approach for robust stability analysis of switching discrete-time systems
نویسندگان
چکیده
Robust stability analysis is investigated for discrete-time linear systems with rational dependency with respect to polytopic type uncertainties. Two type of uncertainties are considered: constant parametric uncertainties and timevarying switching uncertainties. Results are in LMI formalism and proofs involve parameter-dependent, quadratic in the state, Lyapunov functions. The new proposed conditions are shown to extend and merge two important existing results. Conservatism reduction is tackled via a model augmentation technique. Numerical complexity is contained by exploiting the structure of the models with respect to the uncertainties.
منابع مشابه
Robust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملNew Robust Stability Criteria for Uncertain Neutral Time-Delay Systems With Discrete and Distributed Delays
In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the...
متن کاملRobust Stability/Performance Analysis for Polytopic Systems Via Multiple Slack Variable Approach
This paper investigates robust stability, H2 performance, and H∞ performance analysis for polytopic systems, i.e. Linear Time-Invariant Parameter-Dependent (LTIPD) systems in which the parameters lie in the unit simplex. Our results are derived via multiple “slack variable” approach, which has previously been proposed for the non-negativity check of polynomial functions, using Polynomially Para...
متن کاملRobust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملDiscrete time robust control of robot manipulators in the task space using adaptive fuzzy estimator
This paper presents a discrete-time robust control for electrically driven robot manipulators in the task space. A novel discrete-time model-free control law is proposed by employing an adaptive fuzzy estimator for the compensation of the uncertainty including model uncertainty, external disturbances and discretization error. Parameters of the fuzzy estimator are adapted to minimize the estimat...
متن کامل