Analysis and Synthesis for Linear Set-Valued Dynamically Varying Systems'
نویسندگان
چکیده
Analysis and synthesis for linear systems with parameters that vary according to a set-valued map are investigated. It is shown that the optimal controllers are continuous and homogeneous, but not additive. A computational method based on approximating the nonquadratic cost by a piece-wise quadratic function is developed. Such an approximation determines stability nonconservatively and preserves the homogeneity of the controller. Computational methods for both analysis and synthesis are provided.
منابع مشابه
Some local fixed point results under $C$-class functions with applications to coupled elliptic systems
The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an ...
متن کاملSHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS
Interval-valued intuitionistic fuzzy set (IVIFS) has developed to cope with the uncertainty of imprecise human thinking. In the present communication, new entropy and similarity measures for IVIFSs based on exponential function are presented and compared with the existing measures. Numerical results reveal that the proposed information measures attain the higher association with the existing me...
متن کاملA Set-Valued Approach to FDI and FTC: Theory and Implementation Issues
A complete methodology to design robust Fault Detection and Isolation (FDI) filters and Fault Tolerant Control (FTC) schemes for Linear Time-Varying (LTV) systems is proposed. The paper takes advantage of the recent advances in model invalidation using Set-Valued Observers (SVOs) that led to the development of FDI methods for uncertain linear time-varying systems, with promising results in term...
متن کاملRobust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملSet-valued methods for linear parameter varying systems,
We consider stability analysis and state feedback synthesis for Linear Parameter Varying (LPV) systems. LPV systems are de"ned as linear systems whose dynamics depend on exogenous time-varying parameters. Stability analysis of LPV systems involves testing the stability of a family of possible parameter trajectories. Similarly, stabilization and optimal control of LPV systems involves constructi...
متن کامل