This paper presents a sum of squares (SOS) approach to guaranteed cost control of polynomial discrete fuzzy systems. First, we present a polynomial discrete fuzzy model that is more general representation of the well-known discrete Takagi-Sugeno (T-S) fuzzy model. Secondly, we derive a design condition based on polynomial Lyapunov functions that contain quadratic Lyapunov functions as a special...

This paper presents a new control synthesis approach for dual-stage track-following servo systems with multi-rate sensing and actuation. For these systems, the robust track-following problem can be formulated as a periodic time-varying guaranteed cost control problem. To reduce the conservatism of the guaranteed cost control framework, uncertainty scalings such as those used in the D-K iteratio...

The paper addresses the problem of designing robust output feedback model predictive control to one-step ahead prediction horizon which ensures a parameter dependent quadratic stability and guaranteed cost for the case of linear polytopic systems.

This paper presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation in independent actuators. The control is developed using the concept of guaranteed cost control and a new LMI characterization using polytopic Lyapunov fun...

It is well known that unconstrained infinite-horizon optimal control may be used to construct a stabilizing controller for a nonlinear system. In this note, we show that similar stabilization results may be achieved using unconstrained finite horizon optimal control. The key idea is to approximate the tail of the infinite horizon cost-to-go using, as terminal cost, an appropriate control Lyapun...