Polynomial Matrices, Lmis and Static Output Feedback
نویسنده
چکیده
In the polynomial approach to systems control, the static output feedback problem can be formulated as follows: given two polynomial matrices D(s) and N(s), nd a constant matrix K such that polynomial matrix D(s) + KN(s) is stable. In this paper, we show that solving this problem amounts to solving a linear matrix inequality with a non-convex rank constraint. Several numerical experiments illustrate that the heuristic cone complementarity linearization algorithm can eeciently handle this non-convexity.
منابع مشابه
An LMI-Based Approach to Static Output Feedback Stabilization of T-S Fuzzy Systems
The problem of static output feedback control design for continuous-time TakagiSugeno (T–S) fuzzy systems is addressed in this paper. The membership functions are modeled in a space defined by the Cartesian product of simplexes, called multi-simplex, and are allowed to vary arbitrarily (i.e. no bounds on the time-derivative of the membership functions are assumed). The static output feedback fu...
متن کاملDelay-induced stability of vector second-order systems via simple Lyapunov functionals
It is well known that some important classes of systems (e.g. inverted pendulums, oscillators, double integrators) that cannot be stabilized by a static output-feedback, may be stabilized by inserting an artificial time-delay in the feedback. Static output-feedback controllers have advantages over observerbased controllers in the presence of uncertainties in the system matrices and/or uncertain...
متن کاملStatic output feedback H∞ control of a class of nonlinear discrete-time systems
This paper is concerned with the problem of designing robust H∞ static output feedback (SOF) controllers for a class of discrete time nonlinear systems, which are represented by T–S fuzzy models. By considering the properties of system output matrices, a method for H∞ SOF control synthesis is developed in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the exist...
متن کاملStatic Output-Feedback Simultaneous Stabilization of Interval Time-Delay Systems
This paper addresses the problem of simultaneous static output-feedback stabilization of a collection of interval time-delay systems. It is shown that this problem can be converted into a matrix measure assignment problem. Sufficient conditions for guaranteeing the robust stability for considered systems are derived in term of the matrix measures of the system matrices. By using matrix inequali...
متن کاملStabilization by using artificial delays: An LMI approach
Static output-feedback stabilization for the nth order vector differential equations by using artificial multiple delays is considered. Under assumption of the stabilizability of the system by a static feedback that depends on the output and its derivatives up to the order n − 1, a delayed static output-feedback is found that stabilizes the system. The conditions for the stability analysis of t...
متن کامل