Abstract: This paper addresses to the problem of designing, modeling and practical realization of robust model predictive control for finite and infinite prediction horizon which ensures a parameter dependent quadratic stability and guaranteed cost for linear polytopic uncertain systems. The model predictive controller design procedure based on BMI and LMI is reduced to off-line output feedback...

The focal point of this paper is to provide some simple and efficient criteria to judge the D-stability of two families of polynomials, i.e., an interval multilinear polynomial matrix family and a polytopic polynomial family. Taking advantage of the uncertain parameter information, we analyze these two classes of uncertain models and give some LMI conditions for the robust stability of the two ...

The focal point of this paper is to provide some simple and efficient criteria to judge the D-stability of two families of polynomials, i.e., an interval multilinear polynomial matrix family and a polytopic polynomial family. Taking advantage of the uncertain parameter information, we analyze these two classes of uncertain models and give some LMI conditions for the robust stability of the two ...

A necessary and suucient condition is proposed for the existence of a xed polynomial p(s) such that the rational function p(s)=q(s) is robustly strictly positive real when q(s) is a given Hurwitz polynomial with polytopic uncertainty. It turns out that the whole set of candidates p(s) is a convex subset of the cone of positive semideenite matrices, resulting in a straightforward strictly positi...

This paper presents a procedure for robust two-degrees-of-freedom PID synthesis based on a non-convex optimization problem considering the H2 and/or H1 guaranteed costs of the closed-loop transfer matrix as objective functions and constraints together with robust regional pole placement. The uncertain system can be represented by multiple, polytopic or affine parameter-dependent models. The eff...

This paper is concerned with the stability of uncertain linear systems with mixed neutral and discrete delays. The uncertainty under consideration is of polytopic type. A new analysis approach which combines the descriptor system transformation and relaxation matrix is proposed to derive some less conservative stability criteria. The criteria are dependent on both neutral delay and discrete del...

This paper considers the L2-L∞ model reduction problems for polytopic system with time-varying delay. In terms of the solution of linear matrix inequalities (LMIs) and inverse constraints, sufficient conditions are presented to construct the reduced order models such that the L2-L∞ gain of the error system between the full order model and the reduced order one is less than a given scalar.

Many control techniques employ on-line optimization in the determination of a control policy. We develop a framework which provides suucient convex conditions, in the form of Linear Matrix Inequalities (LMIs), for the analysis of constrained quadratic based optimization schemes. These results encompass standard robustness analysis problems for a wide variety of receding horizon control schemes,...

Output feedback model predictive control of polytopic linear parameter varying (LPV) systems subject to input constraints is considered in this paper. The proposed control scheme incorporates robust observer and robust state feedback control. To handle disturbances and model uncertainty, disturbance invariant tube and quasi-min-max MPC are combined to achieve recursive feasibility and robust st...