The paper addresses the problem of designing a robust parameter dependent quadratically stabilizing output/state feedback model predictive control for linear polytopic systems without constraints using original sequential approach. For the closed-loop uncertain system, the design procedure ensures stability, robustness properties and guaranteed cost.

The haemolytic biovar of Gallibacterium anatis (G. anatis) is responsible for urogenital, gastrointestinal, and respiratory diseases in chickens. There are numerous reports on the resistance of G. anatis to antibiotics and recurrence of the disease, which raise concerns about antimicrobial treatment efficiency. Vaccination has been considered as the most feasibl...

The H2 performance specification for onedimensional systems has been known to be analytically and practically meaningful and widely used in the analysis and design of control and filtering systems. However, it is still of little use in the analysis and design of two-dimensional systems due to the structural and dynamical complexity of two-dimensional systems. In this paper, we extend the classi...

In this paper, the problem of linear parameter varying (LPV) filter design for timevarying discrete-time polytopic systems with bounded rates of variation is investigated. The design conditions are obtained by means of a parameter-dependent Lyapunov function and extra variables for the filter design, expressed as bilinear matrix inequalities. An LPV filter, which minimizes an upper bound to the...

The output feedback robust stabilization problem is studied in this paper for uncertain discrete-time linear system described in state space using polytopic model. The necessary and sufficient conditions for output feedback stabilizability with guaranteed cost are provided as well as the algorithm for computation of output feedback gain matrix. The LMI formulation enables to employ standard eff...

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...

A suboptimal approach to distributed robust MPC for uncertain systems consisting of polytopic subsystems with coupled dynamics subject to both state and input constraints is proposed. The approach applies the dynamic dual decomposition method and reformulates the original centralized robust MPC problem into a distributed robust MPC problem. It is based on distributed on-line optimization by app...

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.

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...

This paper proposes a new algorithm to reduce the number of gains polytopic LPV controller considering generic tuples vertices, for which common gain can be used. The use Fr...