Mixed H2/H∞ Control Synthesis for Discrete-time Linear Positive Systems using Enhanced Set of Linear Matrix Inequalities

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...

Dynamic Output Feedback Control of Discrete-Time Markov Jump Linear Systems through Linear Matrix Inequalities

This paper addresses the H∞ dynamic output feedback control design problem of discrete-time Markov jump linear systems. Under the mode-dependent assumption, which means that the Markov parameters are available for feedback, the main contribution is on the complete characterization of all full order proper controllers such that the H∞ norm of the closed loop system remains bounded by a given pre...

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

ARTICLE HISTORY: Received 22 January 2017 Revised 03 March 2017 Accepted 04 April 2017 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 i...

Stochastic Mixed LQR/H∞ Control for Linear Discrete-Time Systems

H2 and Hoo Filtering of Discrete-Time Markov Jump Linear Systems through Linear Matrix Inequalities

This paper addresses the H2 and H∞ filtering design problems of discrete-time Markov jump linear systems. First, under the assumption that the Markov parameter is measured, the main contribution is on the LMI characterization of all filters such that the estimation error remains bounded by a given norm level, yielding the complete solution of the mode-dependent filtering design problem. Based o...