A double generating functions based method for the discrete-time linear quadratic optimal control problem with fixed and free terminal state, i.e., hard constraint problem and soft constraint problem, is developed in this paper. By this method, the optimal state and input can be expressed by functions only in terms of the boundary conditions and pre-computed coefficients. Accordingly, the whole...

This paper presents the application of discrete-time variable structure control with sliding mode based on the ‘reaching law’ method for robust control of a ‘simple inverted pendulum on moving cart’ a standard nonlinear benchmark system. The controllers designed using the above techniques are completely insensitive to parametric uncertainty and external disturbance. The controller design is car...

The objective of this article is to introduce a novel data-driven iterative linear quadratic (LQ) control method for solving class nonlinear optimal tracking problems. Specifically, an algorithm proposed approximate the Q-factors arising from LQ stochastic This then coupled with LQ-methods determining local solutions problems in purely setting. Simulation results highlight potential field appli...

State-feedback model predictive control (MPC) of discrete-time linear periodic systems with timedependent state and input dimensions is considered. The states and inputs are subject to periodically time-dependent, hard, convex, polyhedral constraints. First, periodic controlled and positively invariant sets are characterized, and a method to determine the maximum periodic controlled and positiv...

This paper discusses the problem of stability and stabilization of discrete time switched systems, focusing on the design of a robust state feedback control, and a robust static output feedback control. The results are derived using the direct Lyapunov approach and the poly-quadratic function concept. The stabilization conditions are written through linear matrix inequalities relations. The pol...

In this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available...