In this paper, we present a new approach to investigate the existence and design of reduced-order proper H∞ controllers that provide the same level of performance as that of full-order controllers. By revealing some special features of the LMI-based solvability conditions for the H∞ control problem for descriptor systems, we obtain a refined bound on the order of H∞ controllers, which is indepe...

Abstract. In this paper, we discuss stability properties of positive descriptor systems in the continuous-time as well as in the discrete-time case. We present characterisations of positivity and establish generalised stability criteria for the case of positive descriptor systems. We show that if the spectral projector onto the finite deflating subspace of the matrix pair (E, A) is nonnegative,...

We address the partial realization problem for linear descriptor systems. A general solution to this problem using the Markov parameters of the system defined via its Laurent series is provided. For proper descriptor systems, we also discuss a numerically feasible algorithm for computing a partial minimal realization based on the unsymmetric Lanczos process. Applications to model reduction for ...

This paper examines the problem of designing a robust H∞ state-feedback controller for a class of uncertain nonlinear descriptor Markovian jump systems described by a TakagiSugeno (TS) fuzzy model with Markovian jumps. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain nonlinear descriptor Markovian jump systems to have an H∞ performance are de...

The H , control problem for uncertain descriptor systems with time-invariant normbound uncertainty in the state matrix is considered. Necessary and sufficient conditions for robust H, control of descriptor systems by state feedback and dynamic output feedback are derived. The design results are expressed in terms of generalised algebraic Riccati inequalities, which may be considered an extensio...

In this paper, the problem of H∞ filtering for a class of discrete-time switched systems with unknown inputs is investigated. By using switched Lyapunov functionals, sufficient conditions for the solution of this problem are obtained in terms of linear matrix inequalities (LMIs). Filtering is envisaged both with proportional and proportional integral observers. In addition, the results obtained...

This paper addresses the problem of constructing controlled invariant polyhedral sets for linear discrete-time descriptor systems subject to state and control constraints and persistent disturbances. Regardless the large number of contributions on set invariance for linear systems in the standard form, there are few works dealing with set invariance properties in the case of descriptor systems....

Vision-based control systems play an important role in modern robotics systems. An task implementing such a system is developing effective algorithm for recognizing human actions and the working environment design of intuitive gesture commands. This paper proposes action recognition manufacturing automation. The key contributions are (1) fusion multimodal information obtained by depth sensors c...

This report treats some basics on parameter identification in linear time invariant descriptor systems, both time continuous and time discrete. It is shown how identification methods for normal state space systems can be used by transforming the descriptor system to state space form. It is also examined how identification can be performed in the frequency domain.

In this paper fault diagnosis is studied for linear time varying descriptor systems, which are the discrete time counterpart of the continuous time dynamic systems described by differentialalgebraic equations. This class of systems includes and is broader than the well-known state space systems. The framework of descriptor systems is particularly useful for studying dynamic systems exhibiting t...