Robust Model Predictive Control of Linear Time-Varying Systems with Bounded Disturbances

Robust Self-Tuning Regulator of Time-Varying Linear Systems with Bounded External Disturbances

The robust self-tuning regulator of a class of linear systems, which can be described by the input-output Auto-Regressive Moving Average with exogenous (ARMAX) mathematical model with unknown and time-varying parameters, at bounded external disturbances is developed. A scheme of polynomial approximation has been applied to approximate the unknown and time-varying parameters of systems. The modi...

Feasible Model Predictive Control with Bounded Disturbances

This paper shows how to calculate feasible regions, parameterized in terms for the present state xk, for MPC controllers for constrained linear systems. The dependence of the feasible region on the prediction horizon is also made clear. It is also shown how the procedure may be modified to find guaranteed feasible regions in the presence of unknown, bounded disturbances. These ’robust’ feasible...

ROBUST $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH

In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzz...

Adaptive model predictive control for constrained, linear time varying systems

We consider a discrete-time, linear time varying (LTV), multiple input, multiple output (MIMO) system with nu inputs and ny outputs. The system is known to be asymptotically stable, but the exact dynamics and the way they change over time are not known. We denote the vector of control inputs at time step t ∈ Z by u(t) = [u1(t), . . . , unu(t)] T , where ui(t) ∈ R, i = 1, . . . , nu are the indi...

Distributed model predictive control of linear systems with persistent disturbances