Robust stability and -estimation for uncertain discrete systems with state-delay.
Robust stability and stabilization of a class of uncertain nonlinear systems with delays.
Robust stability of non linear time varying systems
Systems with time-varying non-linearity confined to a given sector (Luré type) and a linear part with uncertainty formulated by an interval transfer function, are considered. Sufficient conditions satisfying the Popov criterion for stability, which are computationally tractable, are derived. The problem of checking the Popov criterion for an infinite set of systems, is reduced to that of checking the Popov criterion for a finite number of fixed coefficient systems, each in a prescribed frequency...
Robust stability of nonlinear piecewise deterministic systems under matching conditions.
Robust stability of positive continuous-time linear systems with delays
The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
Robust stabilization and guaranteed cost control of large scale linear systems with jumps
Robust stabilization approach and performance via static output feedback for a class of nonlinear systems.
Robust stabilization of discrete linear repetitive processes with switched dynamics
Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched...
Robust stabilization of discrete-time systems with time-varying delay: an LMI approach.
Robust stabilization of nonlinear systems: The LMI approach.
Robust state-derivative feedback LMI-based designs for linear descriptor systems.
Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues.
Robustness of decentralized control subject to nonlinear perturbation in the system dynamics
Robustness of solutions of linear differential equations with infinite delay.
Robustness with respect to disturbance model uncertainty: Theory and application to autopilot performance analysis.
Root -tissues: Systems under an action of the -parameters
Rotary inverted pendulum: trajectory tracking via nonlinear control techniques
The nonlinear control techniques are applied to the model of rotary inverted pendulum. The model has two degrees of freedom and is not exactly linearizable. The goal is to control output trajectory of the rotary inverted pendulum asymptotically along a desired reference. Moreover, the designed controller should be robust with respect to specified perturbations and parameters uncertainties. A combination of techniques based on nonlinear normal forms, output regulation and sliding mode approach is...
Routh-type model reduction revisited
A computationally simple method for generating reduced-order models that minimise the norm of the approximation error while preserving a number of second-order information indices as well as the steady-state value of the step response, is presented. The method exploits the energy-conservation property peculiar to the Routh reduction method and the interpolation property of the -optimal approximation. Two examples taken from the relevant literature show that the suggested techniques may lead to...
RTC-method for the control of nuclear reactor power
In this paper, a new concept of the Reactivity Trace Curve (RTC) for reactor power control is presented. The concept is demonstrated for a reactor model with one group of delayed neutrons, where the reactivity trace curve is simply a closed form exponential solution of the RTC-differential equation identifier. An extended reactor model of multigroup (six groups) of delayed neutrons is discussed for power control using the RTC-method which is based on numerical solution of the governing equation...
Rule weights in a neuro-fuzzy system with a hierarchical domain partition
The paper discusses the problem of rule weight tuning in neuro-fuzzy systems with parameterized consequences in which rule weights and the activation of the rules are not interchangeable. Some heuristic methods of rule weight computation in neuro-fuzzy systems with a hierarchical input domain partition and parameterized consequences are proposed. Several heuristics with experimental results showing the advantage of their usage are presented.