The paper addresses the problem to design a quadratic stable output/state feedback model predictive control for linear systems with input constraints. In the proposed design technique the model predictive control is designed for N2 step ahead prediction using the Lyapunov function approach with the cost function guaranteeing input constraints. Output gain matrix calculation is realized off line...

This paper deals with sensor fault detection (FD) for discrete-time switched systems subject to bounded disturbances. A novel approach is investigated construct residual framers using interval observer L∞ performance. The proposed technique used provide more degrees of design freedom and obtain accurate FD results. conditions the are given in terms Linear Matrix Inequalities (LMIs) adopting fir...

Abstract: In this paper the problem of stabilization of a particular class of hybrid systems is approached. For the class of discrete-time hybrid systems with time-delays, it is shown that under some assumption it is possible to express these systems in a common representation: piecewise affine systems. The stability of such systems is proved through Lyapunov theory, more accurate through quadr...

DONG, KE. Advanced Design Techniques in Linear Parameter Varying Control. (Under the direction of Associate Professor Fen Wu). To improve the analysis and control synthesis approach of linear fractional transformation (LFT) parameter-dependent systems, two types of non-quadratic Lyapunov function and switching control scheme are introduced and studied in this thesis. A gain-scheduled controller...

In a companion paper (Nonlinear Impulsive Dynamical Systems. Part I: Stability and Dissipativity) Lyapunov and invariant set stability theorems and dissipativity theory were developed for non-linear impulsive dynamical systems. In this paper we build on these results to develop general stability criteria for feedback interconnections of non-linear impulsive systems. In addition, a uni®ed framew...

This paper is concerned with the problem of designing switched state feedback H∞ controllers for discrete-time Takagi– Sugeno (T–S) fuzzy systems. New types of state feedback controllers, namely, switched parallel distributed compensation (PDC) controllers, are proposed, which are switched based on the values of membership functions. Switched quadratic Lyapunov functions are exploited to derive...

Explicit MPC of constrained linear systems is known to result in a piecewise affine controller and therefore also piecewise affine closed loop dynamics. The complexity of such analytic formulations of the control law can grow exponentially with the prediction horizon. The suboptimal solutions offer a trade-off in terms of complexity and several approaches can be found in the literature for the ...

This paper deals with the discrete-time switched Lur’e problem in finite domain. The aim is to provide a stabilization inside an estimate of the origin’s basin of attraction, large as possible, via a suitable switching rule. The design of this switching rule is based on the min-switching policy and can be induced by sufficient conditions given by Lyapunov-Metzler inequalities. Nevertheless inst...

This paper addresses the problem of determining robust stability regions for a class of nonlinear systems with timeinvariant uncertainties subject to actuator saturation. The unforced nonlinear system is represented by differentialalgebraic equations where the system matrices are allowed to be rational functions of the state and uncertain parameters, and the saturation nonlinearity is modelled ...