Model Reference Control for Linear Time-Varying Systems: A Direct Parametric Approach

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...

Repetitive Control for Linear Time Varying Systems

Repetitive control that asymptotically tracks or rejects periodic signals has been widely used in many applications. For linear time invariant system, this problem has been thoroughly studied and solved. This paper presents the analysis and synthesis of repetitive control algorithms to track or reject periodic signals for linear time varying systems. Both continuous and discrete time domain res...

Contributions to time-varying Linear Control Systems

On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)

This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...