A new approach to robust sampled-data control is introduced. The system is modelled as a continuous-time one, where the control input has a piecewise-continuous delay. Sufficient linear matrix inequalities (LMIs) conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems. The only restriction on the sampling is that the dis...

For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared with the conventional state-feedback controller, the proposed controller can achieve better robust control performance si...

This paper is concerned with the problem of robust peak-to-peak gain minimization by linear matrix inequality (LMI) approach. Instead of minimizing the robustly induced L∞-norm, we minimize its upper bound. Results on the state-feedback controllers are obtained by this approach, and the controllers are at most the same order as the plant. One of the main results shows that if there exists a lin...

2.3. H∞ Performance 3. Controller Design Using Linear Matrix Inequalities 3.1. Linearizing Change of Variables – State Feedback 3.2. Linearizing Change of Variables Output Feedback 3.3. LMI Approach to Multiobjective Design 3.4. Existence of Solutions and Conservatism of Design 4. Illustrative Design Example: Robust Control of a Power System Stabilizer 4.1. Problem Description 4.2. Design Speci...

Abstract: This paper discusses the quadratic stability and quadratic stabilization problem for a class of nonlinear perturbed discrete time-delay systems. Necessary and sufficient conditions for quadratic stability are presented via S-procedure technique and linear matrix inequality (LMI). Both static and dynamic output feedback controllers are constructed respectively. Furthermore, necessary a...

This paper is concerned with the problem of state feedback control of continuous-time nonlinear Markovian jump systems, which are represented by Takagi-Sugeno fuzzy models. A new method for designing state feedback stabilizing controllers is presented in terms of solvability of a set of linear matrix inequalities (LMIs), and it is shown that the new design method provides better or at least the...

A feedback controller design which guarantees both finite-time boundedness and H∞ attenuation for a class of nonlinear systems with conic type nonlinearities and additive disturbances is presented. Conditions which guarantee the existence of a robust state-feedback controller for maintaining a bound on the transient response and satisfying an H∞ bound in the steady state for this class of syste...

This paper addresses the H1 control problem via slow state variables feedback for discretetime fuzzy singularly perturbed systems. At first, a method of evaluating the upper bound of singular perturbation parameter with meeting a prescribed H1 performance bound requirement is given. Subsequently, two methods for designing H1 controllers via slow state variables feedback are presented in terms o...

In this note, we investigate the problem of state feedback stabilization for affine nonlinear discrete-time systems. From a prescribed Lyapunov function, we introduce a modified Riccati equation so that the proposed state feedback law covers a large class of dynamical systems. In particular when the unforced dynamical model is not Lyapunov stable or when the system has unstabilizable first orde...

This paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero and then by elementary similarity operations and using the Gerschgorin theorem we find a state feedback which assigns the eigenvalues inside a circle with center c ...