No, its peak over the last three centuries occurred in 1958; it then declined, rose to a smaller peak in 1979 and has been declining since then.
LISIRD - Historical Total Solar Irradiance
It's worth noting that your TSI graph is based on a 2000 study by Judith Lean, in which she suggests a smaller three-century increase in TSI than in Lean et al 1995 and
concludes that:
Ultimate validation of the calculated spectral irradiance changes, both historically and during the solar cycle, awaits a new generation of observations. These are planned to be made by the University of Colorado's Solar Radiation and Climate Experiment (SORCE) commencing in 2002, as part of the EOS program, and subsequently by the National Polar-orbiting Operational Environmental Satellite System (NPOESS).
The University of Colorado information is available from the link above and, as I noted earlier, even us amateurs can see that the TSI variation
within each recent cycle is greater than the variation over the course of the last century, which obviously is not comparable to global temperature trends. In
2008, Judith Lean and David Rind analysed observed temperature trends across varying regions of the globe - estimating that some three-quarters of the temperature variations could be accounted for by their approach - and concluded that while solar variation was probably the second-greatest influence on climate over the last 100 years, it may account for as little as 0.07 degrees of the observed warming (± 0.01), and actually contributed some 0.01 degrees of
cooling since 1979 (± 0.01).
I can only assume that you've never bothered to look at the Pacific Decadal Oscillation index.
You might instead be thinking of the Atlantic Multidecadal Oscillation, but that does not account for any warming trend either: It clearly follows
after the global temperature trend in its 1920s upswing and 1950s downswing, and more importantly shows no long-term upwards or downwards trend in any case. The 2000 high is the same as the 1950 high, which in turn is scarcely any higher than that in 1900; the 1970 low is even
lower than that in 1920. Suggesting that either the PDO or the AMO is responsible for observed temperature trends seems absurd on the face of it - though they undoubtedly have been
influenced by broader regional climate shifts.
Of course, no-one does that. Not even the likes of Svensmark (solar/cosmic radiation) or Scafetta (AMO/NAO/planetary orbits) entirely exclude all other influences on climate trends; though it's worth noting that these two nonconventional theorists each propose
entirely different major climate drivers to replace the dreaded anthropogenic influence. Obviously they can't both be correct and indeed it's hard to see why either one is likely to be.
More generally it seems all but universally accepted that variations in insolation due to solar activity and Earth's orbit are the biggest regular natural contributor to climate trends, at least on timescales less than millions of years. On very long time-scales continental drift can be a major factor, as can changes in atmospheric composition due to biological processes, and undoubtedly more irregular factors at times too (eg. meteorite impact). Other major shorter time-frame contributors are volcanic activity and variations in El Nino/Southern Oscillation patterns. But despite sometimes clear short-term impacts, most studies seem to conclude that over the course of the whole century these influences have been considerably smaller than those contributed by anthropogenic aerosols (cooling) and greenhouse gases (warming). To some extent that's because (as we saw with the the PDO and AMO) solar, volcanic, ENSO patterns and so on can reflect or contribute to
both warming and cooling trends, and needn't build up any consistent long-term pattern; after producing marginally more heat from 1700-1958, as we've seen, the sun has been 'cooling' the planet since then. By contrast, increasing greenhouse gases will consistently build up more and more of a warming effect.
Meehl et al, 2004 (Journal of Climate)
Stone et al, 2007 (Journal of Climate)
Lean and Rind, 2008 (Geophysical Research Letters)
Huber and Knutti, 2011 (Nature Geoscience)
Hansen, Sato and Ruedy, 2013
The weird part of the 'reasoning' employed by many 'sceptics' is the complete inversion of these relationships: Imagining that these natural factors either
must be responsible for the greater part of the long-term trends, or else they
cannot be responsible for any short-term trends (ie, the last decade's pause).