How to cross-compile Linux tools/perf for embedded system?

I am working on an embedded Linux system (kernel-5.19.20) on MIPS, and I want to build tools/perf for my system.

I want to have libelf feature enabled when cross compile perf, so I firstly cross-compile and installed the libelf to $(proj)/sysroot/usr/lib/.

Then I tried following command to cross compile perf.

CC=mips-none-gnu-gcc make ARCH=mips CROSS_COMPILE=mips-none-gnu- EXTRA_CFLAGS="-I/home/t/proj/target/usr/include" LDFLAGS="-L/home/t/proj/target/usr/lib -Wl,-rpath-link=/home/t/proj/target/usr/lib" 

And I got following feature list.

Auto-detecting system features: ... dwarf: [ OFF ] ... dwarf_getlocations: [ OFF ] ... glibc: [ on ] ... libbfd: [ OFF ] ... libbfd-buildid: [ OFF ] ... libcap: [ OFF ] ... libelf: [ OFF ] ... libnuma: [ OFF ] ... numa_num_possible_cpus: [ OFF ] ... libperl: [ OFF ] ... libpython: [ OFF ] ... libcrypto: [ OFF ] ... libunwind: [ OFF ] ... libdw-dwarf-unwind: [ OFF ] ... zlib: [ OFF ] ... lzma: [ OFF ] ... get_cpuid: [ OFF ] ... bpf: [ on ] ... libaio: [ on ] ... libzstd: [ OFF ] ... disassembler-four-args: [ OFF ] 

I checked the ../build/feature/test-libelf.make.output, and I got,

/home/t/proj/mips-none-gnu/bin/ld: warning: libz.so.1, needed by /home/t/proj/target/usr/lib/libelf.so, not found (try using -rpath or -rpath-link) /home/t/proj/target/usr/lib/libelf.so: undefined reference to `inflate' /home/t/proj/target/usr/lib/libelf.so: undefined reference to `deflate' /home/t/proj/target/usr/lib/libelf.so: undefined reference to `deflateInit_' /home/t/proj/target/usr/lib/libelf.so: undefined reference to `inflateEnd' /home/t/proj/target/usr/lib/libelf.so: undefined reference to `deflateEnd' /home/t/proj/target/usr/lib/libelf.so: undefined reference to `inflateInit_' /home/t/proj/target/usr/lib/libelf.so: undefined reference to `inflateReset' collect2: error: ld returned 1 exit status 

The libz.so is built within buildroot and already installed into /home/t/proj/target/usr/lib.

So, how to make perf with libelf succeed in this case?