ON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS

On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems

We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of the fuzzy dynamical matrix Lyapunov system and provide a sufficient condition for its controllability with the use of fuzzy rule base. The sig...

Observability, Controllability and Control of Systems of ODEs

Supplement to the course APM 542 Version 1 This is an introduction to the concepts of observability, controllability and control of systems of Ordinary Differential Equations (ODEs), which are finite-dimensional models for evolution processes. Since this is an introduction, we describe only linear systems, for which the theory is well developed. For nonlinear systems there seems to be no genera...

Controllability And Observability Of 2-D Systems

Controllability and observability of Boolean control networks

The controllability and observability of Boolean control networks are investigated. After a brief review on converting a logic dynamics to a discrete-time linear dynamics with a transition matrix, some formulas are obtained for retrieving network and its logical dynamic equations from this network transitionmatrix. Based on the discrete-time dynamics, the controllability via two kinds of inputs...

Controllability And Observability Of Nonlinear Systems

Two of the fundamental concepts appearing in the earlier studies on linear control systems are controllability and observability. In particular, it was through the work of R.E. Kalman that the notion of controllability of a linear system was shown to be of interest in itself, and not only as it was appearing in the context of optimal control. Linear controllability turns out to be of importance...

Interpolated Modeling of LPV Systems Based on Observability and Controllability

This paper presents a State-space Model Interpolation of Local Estimates (SMILE) technique to compute linear parameter-varying (LPV) models for parameter-dependent systems through the interpolation of a set of linear time-invariant (LTI) state-space models obtained for fixed operating conditions. Since the state-space representation of LTI models is not unique, a suitable coherent representatio...