Robust Positively Invariant Polyhedral Sets and Constrained Control using Fuzzy T-S Models: a Bilinear Optimization Design Strategy

Constrained Robust Model Predictive Control Based on Polyhedral Invariant Sets by Off-line Optimization

This paper proposes a fast robust model predictive control using polyhedral invariant sets for uncertain polytopic discrete-time systems. A sequence of nested polyhedral invariant sets corresponding to a sequence of state feedback gains is constructed off-line. Thus, most of the computational burdens are moved off-line. At each sampling time, when the measured state lies between two adjacent po...

Spacecraft Constrained Maneuver Planning Using Positively Invariant Constraint Admissible Sets

NON-FRAGILE GUARANTEED COST CONTROL OF T-S FUZZY TIME-VARYING DELAY SYSTEMS WITH LOCAL BILINEAR MODELS

This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance i...

Controller Design Based on Fuzzy Observers for T-s Fuzzy Bilinear Models

This article is devoted to the design of a fuzzy-observer-based control for a class of nonlinear systems with bilinear terms. The class of systems considered is the Takagi-Sugeno (T-S) fuzzy bilinear model. A new procedure to design the observer-based fuzzy controller for this class of systems is proposed. The aim is to design the fuzzy controller and the fuzzy observer of the augmented system ...

Optimized Robust Control Invariant Sets for Constrained Linear

In this paper we introduce the concept of optimized robust control invariance for a discrete-time, linear, time-invariant system subject to additive state disturbances. A novel characterization of a family of the robust control invariant sets is given. The existence of a constraint admissible member of this family can be checked by solving a single linear programming problem. The solution of th...