Performance tuning in Sybase
Not specifically like AWR, but there are a number of built-in tools that can be deployed.

The "mda" tables will be your best friends for identifying poorly performing queries.

Rob Verschoor's site has detailed information on how to use them along with some pre-built tools.

http://www.sypron.nl/mda.html

Official documentation can be found here:
http://infocenter.sybase.com/help/index.jsp?topic=/com.sybase.infocenter.dc70002.1570/html/title.htm

sp_sysmon, monserver and historical server may be of little use. They're more suited to server configuration.