Matches in SemOpenAlex for { <https://semopenalex.org/work/W98032014> ?p ?o ?g. }
- W98032014 abstract "Piecewise affine (PWA) system has wide applications in circuit and control systems. It is considered as a powerful tool to study nonlinear systems, as well as switched and hybrid systems. This thesis presents our research findings in control and estimation of PWA systems. We begin with the examination of the stability of PWA systems. We introduce a piecewise homogeneous polynomial Lyapunov function approach to achieve less conservative stability conditions by using two types of power transformations. Both continuous-time and discrete-time PWA systems are considered. The approach leads to less conservative stability analysis than existing results. In addition to these stability results based on halfspace representation, we also find ways to address the stability of PWA systems based on vertex representation. Specifically, we incorporate vertex information of local partition and utilize parameterized Lyapunov functions to deduce less conservative conditions for stability. Next, we address the controllability and reachability of a class of PWA systems. Based on a general classification method, explicit necessary and sufficient conditions in terms of system parameters for controllability and reachability are presented. We show that controllability and reachability can be asserted in finite steps in some situations. We also briefly discuss the general cases. We then turn to the controller design problems for discrete-time PWA systems. We first consider the state feedback control for PWA systems. By incorporating partition information of the system and applying S-procedure, linear matrix inequality ii ATTENTION: The Singapore Copyright Act applies to the use of this document. Nanyang Technological University Library" @default.
- W98032014 created "2016-06-24" @default.
- W98032014 creator A5082953437 @default.
- W98032014 date "2019-10-02" @default.
- W98032014 modified "2023-10-18" @default.
- W98032014 title "Control and estimation of piecewise affine systems" @default.
- W98032014 cites W136591322 @default.
- W98032014 cites W1480788855 @default.
- W98032014 cites W1481673988 @default.
- W98032014 cites W1496845253 @default.
- W98032014 cites W1497951218 @default.
- W98032014 cites W1498653709 @default.
- W98032014 cites W1498686083 @default.
- W98032014 cites W1504910712 @default.
- W98032014 cites W1509935554 @default.
- W98032014 cites W1513065235 @default.
- W98032014 cites W1516289514 @default.
- W98032014 cites W1518832340 @default.
- W98032014 cites W1521695632 @default.
- W98032014 cites W1523735909 @default.
- W98032014 cites W1524412113 @default.
- W98032014 cites W1536946256 @default.
- W98032014 cites W1540897666 @default.
- W98032014 cites W1544715633 @default.
- W98032014 cites W1554109507 @default.
- W98032014 cites W1585294322 @default.
- W98032014 cites W1592648094 @default.
- W98032014 cites W1599634084 @default.
- W98032014 cites W1602992657 @default.
- W98032014 cites W1605729888 @default.
- W98032014 cites W1606202192 @default.
- W98032014 cites W1678380195 @default.
- W98032014 cites W1716644685 @default.
- W98032014 cites W1750040961 @default.
- W98032014 cites W1778890984 @default.
- W98032014 cites W1828716639 @default.
- W98032014 cites W1839270056 @default.
- W98032014 cites W1855336155 @default.
- W98032014 cites W1895650760 @default.
- W98032014 cites W1971443429 @default.
- W98032014 cites W1977918122 @default.
- W98032014 cites W1992402930 @default.
- W98032014 cites W1995063858 @default.
- W98032014 cites W2000975219 @default.
- W98032014 cites W2001033871 @default.
- W98032014 cites W2001579955 @default.
- W98032014 cites W2007093507 @default.
- W98032014 cites W2007330236 @default.
- W98032014 cites W2007784570 @default.
- W98032014 cites W2015071752 @default.
- W98032014 cites W2023599497 @default.
- W98032014 cites W2026029794 @default.
- W98032014 cites W2026963557 @default.
- W98032014 cites W2027782653 @default.
- W98032014 cites W2028278589 @default.
- W98032014 cites W2030684819 @default.
- W98032014 cites W2035813537 @default.
- W98032014 cites W2037272771 @default.
- W98032014 cites W2039434969 @default.
- W98032014 cites W2042741865 @default.
- W98032014 cites W2043363105 @default.
- W98032014 cites W2045938917 @default.
- W98032014 cites W2047354794 @default.
- W98032014 cites W2047577886 @default.
- W98032014 cites W2057209393 @default.
- W98032014 cites W2060326330 @default.
- W98032014 cites W2064079474 @default.
- W98032014 cites W2067619114 @default.
- W98032014 cites W2072508748 @default.
- W98032014 cites W2077467972 @default.
- W98032014 cites W2079325629 @default.
- W98032014 cites W2084029701 @default.
- W98032014 cites W2088399891 @default.
- W98032014 cites W2095881941 @default.
- W98032014 cites W2097440233 @default.
- W98032014 cites W2098676808 @default.
- W98032014 cites W2098954338 @default.
- W98032014 cites W2098982596 @default.
- W98032014 cites W2099212405 @default.
- W98032014 cites W2100191668 @default.
- W98032014 cites W2101868046 @default.
- W98032014 cites W2102622811 @default.
- W98032014 cites W2103586907 @default.
- W98032014 cites W2103594601 @default.
- W98032014 cites W2104292418 @default.
- W98032014 cites W2104958104 @default.
- W98032014 cites W2108662111 @default.
- W98032014 cites W2108908885 @default.
- W98032014 cites W2109230154 @default.
- W98032014 cites W2109810359 @default.
- W98032014 cites W2111599790 @default.
- W98032014 cites W2113592921 @default.
- W98032014 cites W2115981198 @default.
- W98032014 cites W2116479686 @default.
- W98032014 cites W2116639530 @default.
- W98032014 cites W2118450466 @default.
- W98032014 cites W2118680694 @default.
- W98032014 cites W2118741873 @default.
- W98032014 cites W2119535004 @default.
- W98032014 cites W2123556725 @default.