The usage of CS is implied.
In your picture you can see that where the WR line goes low there is a text stating data from CPU to 82C55A, which means there has to be data from the CPU on the bus. Also when the RD line goes low there is a text stating data from 82C55A to CPU, which means the 82C55A is putting data on the bus. This can only happen when the CS line is low. The A0 and A1 lines need to have the right state too.