This paper proposes a novel lifting method which converts the standard discrete-time linear periodic system to an augmented linear time-invariant system. The linear quadratic optimal control is then based on the solution of the discrete-time algebraic Riccati equation associated with the augmented linear time-invariant model. An efficient algorithm for solving the Riccati equation is derived by...

A framework for robustness analysis of input constrained nite receding horizon control is presented. Under the assumption of quadratic upper bounds on the nite horizon costs, we derive suucient conditions for robust stability of the standard discrete-time linear-quadratic receding horizon control formulation. This is achieved by recasting conditions for nominal and robust stability as an implic...

For both discrete-time and continuous-time linear multi-variable control systems, we introduce a concept of control Lyapunov modes associated with a control Lyapunov function in a quadratic form. We prove that the number of unstable control Lyapunov modes is at most equal to the number of input of the system.

The state space approach to the synthesis of a class of discrete linear control systems is given. Both time-optimal and quadratic-cost problems are considered and a comparison to classical methods is made via the technique of pole assignment.

The discrete-time linear quadratic optimal problem with finite final time for a servo-drive system with a brushless or a dc motor is presented. The proposed algorithm allows simplifying the optimal control law implementation. The optimal control ensures a good behavior of the system and the decrease of the energy consumption. Key-Words:Optimal control, Brushless, DC machines, Efficiency, Servo ...

Prior relevant research in bilateral teleoperation has mainly yielded control algorithms that sacrifice performance in order to guarantee robust stability in the presence of communication latency. In contrast, in this paper we propose a multimodel predictive-type control approach based on the discrete-time linear quadratic Gaussian (LQG) control that delivers a stable transparent response in th...