## Abstract It has been common practice to find controls satisfying only necessary conditions for optimality, and then to use these controls assuming that they are (locally) optimal. However, sufficient conditions need to be used to ascertain that the control rule is optimal. Second order sufficien
Bang-bang control of two isolated first-order plants
β Scribed by I. Vakilzadeh
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 255 KB
- Volume
- 303
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
A system possessing two isolated first-order plants, one of pure integration and one of a negative real pole, with a single relay as the control force is studied. First a
regulating system is considered, in that the design of controller for simultaneous reduction of system's two error variables is investigated. Through multiplication of each error variable by a different constant gain, it is shown that the equation of switching curve can be made independent of constant gains of the plants, as well as value of the negative real pole. Next, we consider the tracking problem and show the type of admissible inputs such
that after a minimum transient time both outputs of the system follow these inputs perfectly, at the same time and, as in the case of regulating system, with maximum one switching reversal of the relay.
π SIMILAR VOLUMES
This paper considers the stability radius problem of control systems with interval plants and "rst-order controllers. The nominal plant P (s) used for the controller design is the centre of the interval plant. Under the condition that a lead controller C(s) stabilizes P (s), the stability radius of
In this paper a relay-controlled plant possx&ng one negative real pole of order two ia studied. Fir8t a regulating system i.9 considered, in that we inve&igate de&n of the controller for simubneoua reduction of error and error derivative to zero. Through simple linear transformations, it i8 8h.01.m