In this paper a method for non-linear robust stabilization based on solving a bilinear matrix
inequality (BMI) feasibility problem is developed. Robustness against model uncertainty is …

This paper proposes a novel synthesis technique for robust predictive control of constrained
nonlinear systems based on linear matrix inequalities (LMIs) formalism. Local discrete-time …

The purpose of this paper is to convert the problem of robust stability of a discrete-time
system under non-linear perturbation to a constrained convex optimization problem …

In this paper the concept of maximal admissible set (MAS) for linear systems with polytopic
uncertainty is extended to non‐linear systems composed of a linear constant part followed …

Bilinear matrix inequalities and robust stability of nonlinear multi-model MPC Page 1
Proceedings of the American Control Conference Philadelphia, Pennsylvania * June 1998 …

This paper addresses the robust stabilizability problem of linear discrete-time systems with
time-varying polytopic uncertainties. A state feedback control law is proposed based on the …

This paper investigates stability analysis for piecewise affine (PWA) systems and specifically
contributes a new robust model predictive control strategy for PWA systems in the presence …

The problem of robust constrained model predictive control (MPC) of systems with polytopic
uncertainties is considered in this paper. New sufficient conditions for the existence of …

In this paper, a stabilization problem of bilinear control systems is considered. Using the
linear matrix inequality technique and quadratic Lyapunov functions, an approach is …

This paper presents the design of a new robust model predictive control algorithm for
nonlinear systems represented by a linear model with unstructured uncertainty. The linear …