DONG, KE. Advanced Design Techniques in Linear Parameter Varying Control. (Under the direction of Associate Professor Fen Wu). To improve the analysis and control synthesis approach of linear fractional transformation (LFT) parameter-dependent systems, two types of non-quadratic Lyapunov function and switching control scheme are introduced and studied in this thesis. A gain-scheduled controller...

Digital computing devices have a finite precision. Hence when digital controllers are implemented, there is rounding on the variables and parameters resulting in the various finite-word-length effects on the closed-loop stability and performance of the system. In this paper we concentrate on the coefficient sensitivity problem. That is: to determine the controller realization that minimizes the...

Answer: The purpose of introducing a constant matrix X in Theorem 2 is to make a decoupling between the matrix function P (ri,j) and the system dynamic matrices in Theorem 1. This decoupling technique enables us to obtain a more easily tractable condition for the filter synthesis. Therefore, the matrix X cannot be selected to be parameter-dependent. It seems that some conservatism will be intro...

This paper presents a methodology for designing a fault-tolerant control (FTC) system for linear parameter varying (LPV) systems subject to actuator saturation fault. The FTC system is designed using linear matrix inequality (LMI) and model estimation techniques. The FTC system consists of a nominal control, fault diagnostic, and fault accommodation schemes. These schemes are designed to achiev...

The bicycle provides transportation for leisure, recreation, and travel between home and work, throughout the world, in big cities as well as in small villages, supporting human mobility for more than a century. In addition, this widespread vehicle probably is the least expensive means of wheeled transportation. The bicycle has a debatable origin. Some history books speculate about Leonardo da ...

The feedforward path of an autopilot is designed for the longitudinal dynamics of a tactical missile. A linear parameter-varying model is used to synthesize a self-scheduled control law based on a parameter-dependent Lyapunov function. The controller is evaluated on a nonlinear model of industrial complexity both under nominal conditions and parametric uncertainty. Tracking performance is signi...

Presently, linear parameter varying (LPV) systems are broadly used in a wide range of applications such as in aerospace, energy, health, mechatronics, process control, computational systems, etc. Essentially, an LPV system is a linear system whose parameters are functions of a scheduling signal. It can be described by state-space or input/output models, in continuous or discrete-time. The incre...

Abstract: By using the concept of parameter varying (C,A)-invariant subspace and parameter varying unobservability subspace, this paper investigates the problem of fault detection and isolation in linear parameter varying (LPV) systems. The so called detection filters approach, formulated as the fundamental problem of residual generation (FPRG) for linear time invariant (LTI) systems is extende...

The aim of this note is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-varying invariant subspaces. For LPV systems affine in their parameters, algorithms are given to compute many parameter varying subspaces relevant in the solution of st...

evolving models have found applications in many real world systems. in this paper, potentials of the evolving linear models (elms) in tracking control design for nonlinear variable structure systems are introduced. at first, an elm is introduced as a dynamic single input, single output (siso) linear model whose parameters as well as dynamic orders of input and output signals can change through ...