We present a receding horizon control scheme that utilizes a discrete time version of a nonlinear, iterative, projection-based optimization routine. The routine utilizes a projection operator to ensure feasible system trajectories at each iteration of the optimization resulting in valid control signals even when constraints on computation time prevent full convergence. An additional feature of ...

A fundamental theory of deterministic linear-quadratic (LQ) control is the equivalent relationship between problems, two-point boundary value and Riccati equations. In this paper, we extend equivalence to a general time-inconsistent LQ problem, where inconsistency arises from nonexponential discount functions. By studying solvability equation, show existence uniqueness linear equilibrium for pr...

This paper deals with stability and state feedback control of discrete-time Multi-Mode Multi-Dimensional (M3D) linear systems. The M3D switch dynamics are modeled through a mapping describing the mode transitions. model framework then allows to consider poly-quadratic Lyapunov functions obtain Linear Matrix Inequalities conditions for proof synthesis state-feedback controllers under H∞ p...

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...

We develop a numerically efficient algorithm for computing controls for nonlinear systems that minimize a quadratic performance measure. We formulate the optimal control problem in discrete-time, but many continuous-time problems can also be solved after discretization. Our approach is similar to sequential quadratic programming for finite-dimensional optimization problems in that we solve the ...

bl this paper we develop an optbnalio'-based.fi'amework Jbr designing controlh, rs Jbr discrete-l#ne non-linear cascade systems. Slwc(fically, usinq a non-linear non-quadratic opt#hal control Ji'amework we develop a family O[ylohally stabilizing backstepph, q-O'pe controllers parameterized hy the cost .[unctional that is minhnized. Furthermore, it is shown that the control L l ' a p u n o t " f...

This paper improves controller synthesis of discrete Takagi-Sugeno fuzzy systems based on non-quadratic Lyapunov functions, making it possible to accomplish various kinds of control performance specifications such as decay rate conditions, requirements on control input and output and disturbance rejection. These extensions can be implemented via linear matrix inequalities, which are numerically...